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Journal articles on the topic 'PI model'

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Author: Grafiati

Published: 10 December 2022

Last updated: 29 January 2023

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1

Garcilazo, H., and L. Mathelitsch. "Relativistic three-body model of the pi pi pi system." Journal of Physics G: Nuclear and Particle Physics 19, no. 7 (July 1, 1993): L111—L116. http://dx.doi.org/10.1088/0954-3899/19/7/002.

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2

Del Cima, O. M. "The Jackiw–Pi model: Classical theory." Physics Letters B 720, no. 1-3 (March 2013): 254–61. http://dx.doi.org/10.1016/j.physletb.2013.02.016.

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3

Gupta, Saurabh. "Jackiw-Pi model: A superfield approach." Physics of Particles and Nuclei Letters 11, no. 7 (December 2014): 999–1002. http://dx.doi.org/10.1134/s154747711407022x.

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4

Gisbert, Héctor, and Antonio Pich. "Direct CP violation in ${K^0\to\pi\pi}$ : Standard Model Status." Reports on Progress in Physics 81, no. 7 (June 26, 2018): 076201. http://dx.doi.org/10.1088/1361-6633/aac18e.

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5

Park, Doo-Sun R., Hyeong-Seog Kim, Minho Kwon, Young-Hwa Byun, Maeng-Ki Kim, Il-Ung Chung, Jeong-Soo Park, and Seung-Ki Min. "A Performance Evaluation of Potential Intensity over the Tropical Cyclone Passage to South Korea Simulated by CMIP5 and CMIP6 Models." Atmosphere 12, no. 9 (September 17, 2021): 1214. http://dx.doi.org/10.3390/atmos12091214.

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Potential intensity (PI) is a metric for climate model evaluation of TC-related thermodynamic conditions. However, PI is utilized usually for assessing basin-wide TC-related thermodynamic conditions, and not for evaluating TC passage to a certain region. Here we evaluate model-simulated PI over the passage of TCs affecting South Korea (KOR PI) as well as the PI over the entire western North Pacific basin (WNP PI) using 25 CMIP5 and 27 CMIP6 models. In terms of pattern correlations and bias-removed root mean square errors, CMIP6 model performances for KOR PI are found to be noticeably improved over CMIP5 models in contrast to negligible improvement for WNP PI, although it is not in terms of normalized standard deviations. This implies that thermodynamic condition on the route of TCs affecting South Korea is likely better captured by CMIP6 models than CMIP5 models.

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6

Velis, Gabriel, and Nikos Hadjichristidis. "Synthesis of Model PS(PI)5and (PI)5PS(PI)5Nonlinear Block Copolymers of Styrene (S) and Isoprene (I)." Macromolecules 32, no. 2 (January 1999): 534–36. http://dx.doi.org/10.1021/ma9814797.

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7

Del Cima, O. M. "The Jackiw–Pi model and its symmetries." Journal of Physics A: Mathematical and Theoretical 44, no. 35 (August 15, 2011): 352001. http://dx.doi.org/10.1088/1751-8113/44/35/352001.

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8

Nishino, Hitoshi, and Subhash Rajpoot. "Extended Jackiw–Pi model and its supersymmetrization." Physics Letters B 747 (July 2015): 93–97. http://dx.doi.org/10.1016/j.physletb.2015.05.029.

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9

Leva, Alberto, Sara Negro, and Alessandro Vittorio Papadopoulos. "PI/PID autotuning with contextual model parametrisation." Journal of Process Control 20, no. 4 (April 2010): 452–63. http://dx.doi.org/10.1016/j.jprocont.2010.01.005.

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10

Knoop, Michael K. F., and Jaime A. Moreno Perez. "Approximate model matching with multivariable PI-controllers." Automatica 29, no. 6 (November 1993): 1615–16. http://dx.doi.org/10.1016/0005-1098(93)90032-o.

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11

Li Yong-Qing, Li Xi-Guo, Liu Zi-Yu, Luo Pei-Yan, and Zhang Peng-Ming. "New vortex solutions of Jackiw-Pi model." Acta Physica Sinica 56, no. 11 (2007): 6178. http://dx.doi.org/10.7498/aps.56.6178.

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12

Gianto, Rudy. "MODEL EKIVALEN-PI DARI PEMBANGKIT LISTRIK TENAGA ANGIN DENGAN GENERATOR ASINKRON UNTUK ANALISIS ALIRAN DAYA." Transmisi 21, no. 4 (October 29, 2019): 103–8. http://dx.doi.org/10.14710/transmisi.21.4.103-108.

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Operasi keadaan-mantap (steady-state) dari suatu sistem tenaga listrik biasanya ditentukan melalui analisis aliran daya. Makalah ini mengusulkan metode sederhana untuk mengikut-sertakan model pembangkit listrik tenaga angin (PLTAn) dengan generator asinkron pada perhitungan aliran daya. Model yang diusulkan ini disebut model ekivalen-pi karena rangkaian ekivalen-pi dari generator asinkron atau induksi telah digunakan untuk membentuk model matematis dari PLTAn tersebut. Model rangkaian ekivalen-pi ini diperoleh dari rangkaian ekivalen keadaan-mantap generator induksi (rangkaian T atau Y) yang kemudian, melalui transformasi Y-D, dikonversi menjadi rangkaian P atau D. Transformasi ini dilakukan untuk mempermudah penurunan model matematis dari PLTAn dimaksud. Model ini kemudian diintegrasikan pada algoritma aliran daya dan diselesaikan dengan metode Newton-Raphson dimana hasilnya kemudian digunakan untuk mengevaluasi operasi keadaan-mantap sistem secara keseluruhan (termasuk PLTAn). Pada makalah ini, studi-studi perbandingan antara metode yang diusulkan (model ekivalen-pi) dan metode lain (model jaringan dua-terminal) juga telah dilakukan dimana terlihat bahwa hasil-hasil dari kedua metode tersebut adalah sangat sesuai.

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13

Hoshmeh, Abdullah, Uwe Schmidt, and Akif Gürlek. "Investigations on the Developed Full Frequency- Dependent Cable Model for Calculations of Fast Transients." Energies 11, no. 9 (September 11, 2018): 2390. http://dx.doi.org/10.3390/en11092390.

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The knowledge about the behavior of cables is substantial in cases of transients or in cases of faults. However, there are only a few models that are tailored to the current requirements for calculations of transient phenomena in three-phase cable systems. These models are based on complex structures. PI-section cable models with simple structures were previously qualified only for calculations in the frequency domain. A new full frequency-dependent cable model to simulate transient phenomena is introduced and validated. The model is based on lumped parameters with cascaded frequency-dependent PI-sections. For the implementation and the integration in simulation tools, it is important to investigate the impact of the PI-section parameters to the accuracy, the stability and the mathematical robustness. In this work, the impact of the frequency dependence of cable parameters, the length distribution and the number of PI-sections on the results of the developed three-phase cable model have been discussed. For simulations in the time domain, two algorithms have been presented to optimize the number of PI-sections based on a specified accuracy.

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14

Połowiński, Stefan, Lidia Szosland, Joanna Szumilewicz, Alina Połowińska, and Aurelia Pierzchlewska. "Controlled-release model systems." British Polymer Journal 23, no. 3 (1990): 241–44. http://dx.doi.org/10.1002/pi.4980230311.

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15

Xu, Hairong, Shan Lu, Lexi Ding, Liangkun Lyu, Zejun Ma, and Qiulun Lu. "Pulsatility Index as a Novel Parameter for Perfusion in Mouse Model of Hindlimb Ischemia." Cellular Physiology and Biochemistry 48, no. 5 (2018): 2114–22. http://dx.doi.org/10.1159/000492553.

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Background/Aims: In clinical settings, the pulsatility index (PI) has become a widely used tool for monitoring obstetrics or other vascular diseases. It is based on the maximum Doppler shift waveform derived from ultrasonography. However, it remains unclear whether the PI levels are correctly predicted from the perfusion in mouse model of hindlimb ischemia. Methods: To explore the relationship between PI and perfusion, we generated a unilateral hindlimb ischemia model in 8-week-old C57BL/6 male mice by ligation of the right common iliac artery and femoral artery. These mice were monitored with laser Doppler perfusion imaging (LDPI) and an ultrasound system (Vevo2100). Vessel densities in ischemic skeletal muscles were measured with vWF staining, which functions as a marker for endothelial cells. In order to further verify PI evaluation in other conditions, we performed therapeutic experiments using hindlimb ischemic mouse with PBS or FGF2 treatment. Results: In the mouse model of hindlimb ischemia, the PI levels were continuously elevated and were accompanied by an increased ratio of perfusion to blood flow. 1 and 4 weeks after ischemia, the densities of vWF staining were correlated with PI values. Moreover, the PI index exactly reflected the perfusion in hindlimb ischemic mice after FGF2 treatment, while it indicated the condition of angiogenesis after therapeutic treatment based on the association between PI values and the number of vWF-positive stained cells in muscles. Conclusion: This study confirms the utility of a noninvasive and reproducible ultrasound index for a rapid evaluation of perfusion and blood recovery after hindlimb ischemia in vivo. PI, as one stable and comparable parameter, is correlated with angiogenesis in hindlimb ischemic mouse. Moreover, PI can exactly reflect perfusion and angiogenesis in therapeutic hindlimb ischemic mouse models. This study suggested that PI can serve as a novel index for relatively reproducible and repeatable blood flow recovery in the evaluation of emerging ischemic therapies and disease development in mouse models of hindlimb ischemia.

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16

Deng, Weikun, Khanh T. P. Nguyen, Christian Gogu, Jérôme Morio, and Kamal Medjaher. "Physics-informed Lightweight Temporal Convolution Networks for Fault Prognostics Associated to Bearing Stiffness Degradation." PHM Society European Conference 7, no. 1 (June 29, 2022): 118–25. http://dx.doi.org/10.36001/phme.2022.v7i1.3365.

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This paper proposes hybrid methods using physics-informed (PI) lightweight Temporal Convolution Neural Network (PITCN) for bearings’ remaining useful life (RUL) prediction under stiffness degradation. It includes three PI hybrid models: a) PI Feature model (PIFM) — constructing physics-informed health indicator (PIHI) to augment the feature space, b) PI Layer model (PILM)—encoding the physics governing equations in a hidden layer, and c) PI Layer Based Loss model (PILLM)—designing PI conflict loss, taking into account the difference before and after integration of the physics input-output relations involved module to the loss function. We simulated 200 different bearing stiffness degradations, using their discrete monitored vibration signals to verify the effectiveness of the proposed method. We also investigate their inference process through feature heat map analysis to interpret how the models melt physics knowledge to assist in capturing the degradation trend. The physics knowledge considered in this paper is the dynamic relationship between vibration amplitude and stiffness in a damped forced vibration model. The results show that all three PITCN models effectively capture degradation-related trend information and perform better than the vanilla lightweight TCN. Furthermore, the visualization of the feature channels highlights the important role of physics information in model training. Channels containing physics information demonstrate higher correlation with results as they significantly dominate the heat map compared to other channels.

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17

Li, Yong, Yu Guo Cui, and Shao Yong Zheng. "Improved Hysteresis Model of Micro-Positional Stage Based on PI Model." Applied Mechanics and Materials 101-102 (September 2011): 581–85. http://dx.doi.org/10.4028/www.scientific.net/amm.101-102.581.

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In order to obtain higher accuracy and faster calculation speed of hysteresis model of the piezoelectric micro-positional stage, the traditional PI hysteresis model is improved in this paper. First, based on the fact of that the slopes of the first half of the initial loading curve for the piezoelectric micro-positional stage change much while the slopes of the second half change little, the PI hysteresis model of the stage is established by the non-equiinterval threshold value. Then, the established model is identified by optimizing the minimum L22-norm of the model errors. The results show that the maximum error and average error of the model are 0.71 μm and 0.23 μm in the displacement range of 22.75 μm, respectively.

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18

Sharma, B. K., and P. Purkait. "The Hybrid-pi Model: Some Discrepencies and the Suggested Universal Model." IETE Journal of Research 35, no. 1 (January 1989): 1–7. http://dx.doi.org/10.1080/03772063.1989.11436780.

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19

Mewhort, D. J. K., Kevin D. Shabahang, and D. R. J. Franklin. "Release from PI: An analysis and a model." Psychonomic Bulletin & Review 25, no. 3 (June 23, 2017): 932–50. http://dx.doi.org/10.3758/s13423-017-1327-3.

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20

Malik, Syed Mohd Faisal. "IoT ENABLED TRAFFIC CONTROL MODEL USING RASPBERRY PI." International Journal of Advanced Research in Computer Science 9, no. 3 (June 20, 2018): 157–60. http://dx.doi.org/10.26483/ijarcs.v9i3.5972.

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21

Novikov, D. V., A. S. Stankevich, E. G. Silkis, A. M. Torubarov, and G. A. Perepelkin. "THE MORS-4 SPECTRA RECORDING SYSTEM WITH THE RASPBERRY PI 3 MODEL B MICROCOMPUTER." NAUCHNOE PRIBOROSTROENIE 28, no. 3 (August 29, 2018): 24–28. http://dx.doi.org/10.18358/np-28-3-i2428.

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22

Divya, M., and M. Pitchaimani. "An analysis of the delay-dependent HIV-1 protease inhibitor model." International Journal of Biomathematics 11, no. 03 (April 2018): 1850031. http://dx.doi.org/10.1142/s1793524518500316.

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In this paper, we have studied about the sensitivity analysis of the human immunodeficiency virus (HIV) protease inhibitor (PI) model and estimated the length of the delay. We have fabricated an HIV PI model accompanied with humoral immunity. Stability analysis of the constructed model about its steady states has been deliberated. We have evaluated some numerical simulations for PI model with humoral immunity by using the existing patient data.

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23

Raghuraman, R. "PSO Based Model Reference Adaptive PI Controller for a Conical Tank Level Process." Asian Journal of Electrical Sciences 8, no. 2 (May 5, 2019): 29–33. http://dx.doi.org/10.51983/ajes-2019.8.2.2362.

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Conical tanks are mostly used in various process industries, such as metallurgical industries, food processing industries, concrete mixing industries wastewater treatment industries etc. A conical tank is basically a nonlinear process as its area of cross section varies with respect to level. This paper describes the implementation of PSO based Model Reference Adaptive PI controller for a nonlinear Conical Tank Level System (CTLS). The mathematical model of CTLS is developed and PSO based Model Reference Adaptive (MRA) PI Controller is proposed for this level system. A result of proposed controller is compared with GA based MRA-PI, MRA-PI and conventional PI controllers to analyze the performance in terms of integral square error and Integral absolute error. The results proved that the superiority of proposed controller.

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24

Liu, Wanli. "A PI(4,5)P2-derived “gasoline engine model” for the sustained B cell receptor activation." Journal of Immunology 204, no. 1_Supplement (May 1, 2020): 151.11. http://dx.doi.org/10.4049/jimmunol.204.supp.151.11.

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Abstract To efficiently initiate activation responses against rare ligands in the microenvironment, lymphocytes employ sophisticated mechanisms involving signaling amplification. Recently, a signaling amplification mechanism initiated from phosphatidylinositol (PI) 4, 5-biphosphate [PI(4,5)P2] hydrolysis and synthesis for sustained B cell activation has been reported. Antigen and B cell receptor (BCR) recognition triggered the prompt reduction of PI(4,5)P2 density within the BCR microclusters, which led to the positive feedback for the synthesis of PI(4,5)P2 outside of the BCR microclusters. At single molecule level, the diffusion of PI(4,5)P2 was slow, allowing for the maintenance of a PI(4,5)P2 density gradient between the inside and outside of the BCR microclusters and the persistent supply of PI(4,5)P2 from outside to inside of the BCR microclusters. Here, we review studies that have contributed to uncovering the molecular mechanisms of PI(4,5)P2-derived signaling amplification model. Based on these studies, our recent work supported a “gasoline engine model” in which the activation of B cell signaling inside the microclusters is similar to the working principle of burning gasoline within the engine chamber of a gasoline engine.

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25

Dahiya, Jai Bhagwan, Krishan Kumar, Matthias Muller-Hagedorn, and Henning Bockhorn. "Kinetics of isothermal and non-isothermal degradation of cellulose: model-based and model-free methods." Polymer International 57, no. 5 (2008): 722–29. http://dx.doi.org/10.1002/pi.2398.

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26

Arosio, Paolo, Valentina Busini, Giuseppe Perale, Davide Moscatelli, and Maurizio Masi. "A new model of resorbable device degradation and drug release - part I: zero order model." Polymer International 57, no. 7 (2008): 912–20. http://dx.doi.org/10.1002/pi.2425.

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27

Hedgecock, Jon, Christopher Cheng, Matthew Solomito, and James Pace. "RISK FACTORS FOR PATELLAR INSTABILITY USING A QUANTITATIVE ANALYSIS OF TROCHLEAR DYSPLASIA." Orthopaedic Journal of Sports Medicine 8, no. 7_suppl6 (July 1, 2020): 2325967120S0034. http://dx.doi.org/10.1177/2325967120s00344.

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Objectives: Multiple studies have described several anatomic and demographic risk factors of patellar instability (PI). Trochlear dysplasia (TD) has been shown to be a dominant risk factor for patellar instability but most prediction models have used the qualitative Dejour system to evaluate the influence of TD on PI. The lateral trochlear inclincation (LTI) angle is a described quantitative method to evaluate TD and a recent measurement technique has near perfect inter and intra rater reliability. Our hypothesis is that, in combination with other known radiographic and demographic risk factors of PI, that using a quantitative and numeric evaluation for TD, a highly reliable prediction model for PI can be created. Methods: 98 patients in a pediatric and adolescent sports medicine practice were identified with documented PI that had magnetic resonance imaging (MRI) studies available for review. A matched cohort of 100 patients with no history of PI but with MRI’s were identified as a control group. Anatomic risk factors evaluated included the LTI, sulcus angle, lateral condyle index (LCI), lateral patellar inclination angle (LPI), proximal and distal tibial tubercle-trochlear groove distance (pTTTG and dTTTG), Caton-Deschamps ratio (CD ratio), and patellotrochlear index (PTI). Demographic data included age and sex. Receiver operator characteristic (ROC) curves were constructed for each variable to identify which variables were the best predictors of PI (ROC value >0.7). Using the ROC curves with a Youden’s J statistic and setting specificity at 0.9, cutoff values for each variable were created. Each radiographic and demographic variable was analyzed for significance and those that were found to be significant were analyzed. Area under the curve (AUC) was determined for each variable. Two predictive models were created. One was developed from the ROC curve results while the other evaluated all measured variables. The models were designed to produce the best possible fit while trying to limit the total number of predictors. These models were tested on a second cohort of 45 patients with PI and 42 control patients. Results: ROC curve data is in Table 1. Of the two models, the superior model was the model that evaluated all variables, regardless of ROC cutoff value. The model takes on the form of a general logistic regression (Eq 1, Eq 2). Model accuracy on the validation set showed 84% accuracy with 78% sensitivity and 88% specificity. These values are based on a probability of >90%. Patellar height measures had significant AUC’s but were not prime drivers of the final model. Age was not significant in the ROC analysis. Conclusion: This study establishes a highly reliable and predictive model for PI that is driven by various direct (LTI, sulcus angle, LCI) or indirect (dTT-TG, LPI) quantitative measurements of TD. Patellar height did correlate with PI but was not a prime driver of the model which suggests that patella alta is a less common risk factor for PI.

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Ting, Mingfang, Suzana J. Camargo, Cuihua Li, and Yochanan Kushnir. "Natural and Forced North Atlantic Hurricane Potential Intensity Change in CMIP5 Models*." Journal of Climate 28, no. 10 (May 12, 2015): 3926–42. http://dx.doi.org/10.1175/jcli-d-14-00520.1.

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Abstract Possible future changes of North Atlantic hurricane intensity and the attribution of past hurricane intensity changes in the historical period are investigated using phase 5 of the Climate Model Intercomparison Project (CMIP5), multimodel, multiensemble simulations. For this purpose, the potential intensity (PI), the theoretical upper limit of the tropical cyclone intensity given the large-scale environment, is used. The CMIP5 models indicate that the PI change as a function of sea surface temperature (SST) variations associated with the Atlantic multidecadal variability (AMV) is more effective than that associated with climate change. Thus, relatively small changes in SST due to natural multidecadal variability can lead to large changes in PI, and the model-simulated multidecadal PI change during the historical period has been largely dominated by AMV. That said, the multimodel mean PI for the Atlantic main development region shows a significant increase toward the end of the twenty-first century under both the RCP4.5 and RCP8.5 emission scenarios. This is because of enhanced surface warming, which would place the North Atlantic PI largely above the historical mean by the mid-twenty-first century, based on CMIP5 model projection. The authors further attribute the historical PI changes to aerosols and greenhouse gas (GHG) forcing using CMIP5 historical single-forcing simulations. The model simulations indicate that aerosol forcing has been more effective in causing PI changes than the corresponding GHG forcing; the decrease in PI due to aerosols and increase due to GHG largely cancel each other. Thus, PI increases in the recent 30 years appears to be dominated by multidecadal natural variability associated with the positive phase of the AMV.

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OSCAR, T. P. "Validation of a Tertiary Model for Predicting Variation of Salmonella Typhimurium DT104 (ATCC 700408) Growth from a Low Initial Density on Ground Chicken Breast Meat with a Competitive Microflora†." Journal of Food Protection 69, no. 9 (September 1, 2006): 2048–57. http://dx.doi.org/10.4315/0362-028x-69.9.2048.

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Growth of a multiple antibiotic–resistant strain (ATCC 700408) of Salmonella Typhimurium definitive phage type 104 (DT104) from a low initial density (100.6 most probable number [MPN] or CFU/g) on ground chicken breast meat with a competitive microflora was investigated and modeled as a function of time and temperature (10 to 40°C). MPN and viable counts (CFU) on a selective medium with four antibiotics enumerated the pathogen. Data from five replicate challenge studies per temperature were combined and fit to a primary model to determine maximum specific growth rate (μ), maximum population density (Nmax), and the 95% prediction interval (PI). Nonlinear regression was used to obtain secondary models as a function of temperature for μ, Nmax, and PI, which ranged from 0.04 to 0.4 h−1, 1.6 to 9.4 log MPN or CFU/g, and 1.4 to 2.4 log MPN or CFU/g, respectively. Secondary models were combined with the primary model to create a tertiary model for predicting variation (95% PI) of pathogen growth among batches of ground chicken breast meat with a competitive microflora. The criterion for acceptable model performance was that 90% of observed MPN or CFU data had to be in the 95% PI predicted by the tertiary model. For data (n = 344) used in model development, 93% of observed MPN and CFU data were in the 95% PI predicted by the tertiary model, whereas for data (n = 236) not used in model development but collected using the same methods, 94% of observed MPN and CFU data were in the 95% PI predicted by the tertiary model. Thus, the tertiary model was successfully verified against dependent data and validated against independent data for predicting variation of Salmonella Typhimurium DT104 growth among batches of ground chicken breast meat with a competitive microflora and from a low initial density.

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Ohtani, Tadao, Yasushi Kanai, and Nikolaos V. Kantartzis. "A Nonstandard Path Integral Model for Curved Surface Analysis." Energies 15, no. 12 (June 13, 2022): 4322. http://dx.doi.org/10.3390/en15124322.

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The nonstandard finite-difference time-domain (NS-FDTD) method is implemented in the differential form on orthogonal grids, hence the benefit of opting for very fine resolutions in order to accurately treat curved surfaces in real-world applications, which indisputably increases the overall computational burden. In particular, these issues can hinder the electromagnetic design of structures with electrically-large size, such as aircrafts. To alleviate this shortcoming, a nonstandard path integral (PI) model for the NS-FDTD method is proposed in this paper, based on the fact that the PI form of Maxwell’s equations is fairly more suitable to treat objects with smooth surfaces than the differential form. The proposed concept uses a pair of basic and complementary path integrals for H-node calculations. Moreover, to attain the desired accuracy level, compared to the NS-FDTD method on square grids, the two path integrals are combined via a set of optimization parameters, determined from the dispersion equation of the PI formula. Through the latter, numerical simulations verify that the new PI model has almost the same modeling precision as the NS-FDTD technique. The featured methodology is applied to several realistic curved structures, which promptly substantiates that the combined use of the featured PI scheme greatly improves the NS-FDTD competences in the case of arbitrarily-shaped objects, modeled by means of coarse orthogonal grids.

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31

Zhou, Chen, Yi Hui Zheng, Gang Yao, Li Xue Li, Xin Wang, and Yan Wen Liu. "A New Control Strategy for the STATCOM Based on Multi-Model Neural Network PI Controller." Applied Mechanics and Materials 448-453 (October 2013): 2171–74. http://dx.doi.org/10.4028/www.scientific.net/amm.448-453.2171.

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Aiming to dealing with the problems of power factor compensation and the limitations of the conventional PI controller in the Static Synchronous Compensator (STATCOM), a new control strategy based on multi-model and neural network PI controller is proposed. This control scheme applied the multi-model and neural network technology to the PI controller to meet the accuracy and speed of the power factor compensation under different impact loads. Meanwhile, the neural network technology is used to tune the PI controller parameters values according to an optimal control law, which can meet the requirements of full range working conditions and optimality. Simulation experiments show that compared to the traditional PI controller, PI controller based on multi-model and neural network is proved to be better capable of adapting to the changes of impact loads with a higher compensating precision, which makes the power factor maintained at about 1 after compensation.

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32

Morote, Juan, Angel Borque-Fernando, Marina Triquell, Anna Celma, Lucas Regis, Manel Escobar, Richard Mast, et al. "The Barcelona Predictive Model of Clinically Significant Prostate Cancer." Cancers 14, no. 6 (March 21, 2022): 1589. http://dx.doi.org/10.3390/cancers14061589.

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A new and externally validated MRI-PM for csPCa was developed in the metropolitan area of Barcelona, and a web-RC designed with the new option of selecting the csPCa probability threshold. The development cohort comprised 1486 men scheduled to undergo a 3-tesla multiparametric MRI (mpMRI) and guided and/or systematic biopsies in one academic institution of Barcelona. The external validation cohort comprised 946 men in whom the same diagnostic approach was carried out as in the development cohort, in two other academic institutions of the same metropolitan area. CsPCa was detected in 36.9% of men in the development cohort and 40.8% in the external validation cohort (p = 0.054). The area under the curve of mpMRI increased from 0.842 to 0.897 in the developed MRI-PM (p < 0.001), and from 0.743 to 0.858 in the external validation cohort (p < 0.001). A selected 15% threshold avoided 40.1% of prostate biopsies and missed 5.4% of the 36.9% csPCa detected in the development cohort. In men with PI-RADS <3, 4.3% would be biopsied and 32.3% of all existing 4.2% of csPCa would be detected. In men with PI-RADS 3, 62% of prostate biopsies would be avoided and 28% of all existing 12.4% of csPCa would be undetected. In men with PI-RADS 4, 4% of prostate biopsies would be avoided and 0.6% of all existing 43.1% of csPCa would be undetected. In men with PI-RADS 5, 0.6% of prostate biopsies would be avoided and none of the existing 42.0% of csPCa would be undetected. The Barcelona MRI-PM presented good performance on the overall population; however, its clinical usefulness varied regarding the PI-RADS category. The selection of csPCa probability thresholds in the designed RC may facilitate external validation and outperformance of MRI-PMs in specific PI-RADS categories.

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Huang, Jiande, Shuangyin Liu, Shahbaz Gul Hassan, and Longqin Xu. "Pollution index of waterfowl farm assessment and prediction based on temporal convoluted network." PLOS ONE 16, no. 7 (July 23, 2021): e0254179. http://dx.doi.org/10.1371/journal.pone.0254179.

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Environmental quality is a major factor that directly impacts waterfowl productivity. Accurate prediction of pollution index (PI) is the key to improving environmental management and pollution control. This study applied a new neural network model called temporal convolutional network and a denoising algorithm called wavelet transform (WT) for predicting future 12-, 24-, and 48-hour PI values at a waterfowl farm in Shanwei, China. The temporal convoluted network (TCN) model performance was compared with that of recurrent architectures with the same capacity, long-short time memory neural network (LSTM), and gated recurrent unit (GRU). Denoised environmental data, including ammonia, temperature, relative humidity, carbon dioxide (CO2), and total suspended particles (TSP), were used to construct the forecasting model. The simulation results showed that the TCN model in general produced a more precise PI prediction and provided the highest prediction accuracy for all phases (MAE = 0.0842, 0.0859, and 0.1115; RMSE = 0.0154, 0.0167, and 0.0273; R2 = 0.9789, 0.9791, and 0.9635). The PI assessment prediction model based on TCN exhibited the best prediction accuracy and general performance compared with other parallel forecasting models and is a suitable and useful tool for predicting PI in waterfowl farms.

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Ferreira Mamede, Ana Camila, José Roberto Camacho, Rui Esteves Araújo, and Igor Santos Peretta. "Moore-Penrose pseudo-inverse and artificial neural network modeling in performance prediction of switched reluctance machine." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 39, no. 6 (November 23, 2020): 1411–30. http://dx.doi.org/10.1108/compel-11-2019-0449.

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Purpose The purpose of this paper is to present the Moore-Penrose pseudoinverse (PI) modeling and compare with artificial neural network (ANN) modeling for switched reluctance machine (SRM) performance. Design/methodology/approach In a design of an SRM, there are a number of parameters that are chosen empirically inside a certain interval, therefore, to find an optimal geometry it is necessary to define a good model for SRM. The proposed modeling uses the Moore-Penrose PI for the resolution of linear systems and finite element simulation data. To attest to the quality of PI modeling, a model using ANN is established and the two models are compared with the values determined by simulations of finite elements. Findings The proposed PI model showed better accuracy, generalization capacity and lower computational cost than the ANN model. Originality/value The proposed approach can be applied to any problem as long as experimental/computational results can be obtained and will deliver the best approximation model to the available data set.

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Precup, Radu-Emil, Stefan Preitl, Claudia-Adina Bojan-Dragos, Elena-Lorena Hedrea, Raul-Cristian Roman, and Emil M. Petriu. "A LOW-COST APPROACH TO DATA-DRIVEN FUZZY CONTROL OF SERVO SYSTEMS." Facta Universitatis, Series: Mechanical Engineering 20, no. 1 (April 8, 2022): 021. http://dx.doi.org/10.22190/fume220111005p.

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Servo systems become more and more important in control systems applications in various fields as both separate control systems and actuators. Ensuring very good control system performance using few information on the servo system model (viewed as a controlled process) is a challenging task. Starting with authors’ results on data-driven model-free control, fuzzy control and the indirect model-free tuning of fuzzy controllers, this paper suggests a low-cost approach to the data-driven fuzzy control of servo systems. The data-driven fuzzy control approach consists of six steps: (i) open-loop data-driven system identification to produce the process model from input-output data expressed as the system step response, (ii) Proportional-Integral (PI) controller tuning using the Extended Symmetrical Optimum (ESO) method, (iii) PI controller parameters mapping onto parameters of Takagi-Sugeno PI-fuzzy controller in terms of the modal equivalence principle, (iv) closed-loop data-driven system identification, (v) PI controller tuning using the ESO method, (vi) PI controller parameters mapping onto parameters of Takagi-Sugeno PI-fuzzy controller. The steps (iv), (v) and (vi) are optional. The approach is applied to the position control of a nonlinear servo system. The experimental results obtained on laboratory equipment validate the approach.

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Yu, Jinhua, Yuqing Wang, and Kevin Hamilton. "Response of Tropical Cyclone Potential Intensity to a Global Warming Scenario in the IPCC AR4 CGCMs." Journal of Climate 23, no. 6 (March 15, 2010): 1354–73. http://dx.doi.org/10.1175/2009jcli2843.1.

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Abstract This paper reports on an analysis of the tropical cyclone (TC) potential intensity (PI) and its control parameters in transient global warming simulations. Specifically, the TC PI is calculated for phase 3 of the Coupled Model Intercomparison Project (CMIP3) integrations during the first 70 yr of a transient run forced by a 1% yr−1 CO2 increase. The linear trend over the period is used to project a 70-yr change in relevant model parameters. The results for a 15-model ensemble-mean climate projection show that the thermodynamic potential intensity (THPI) increases on average by 1.0% to ∼3.1% over various TC basins, which is mainly attributed to changes in the disequilibrium in enthalpy between the ocean and atmosphere in the transient response to increasing CO2 concentrations. This modest projected increase in THPI is consistent with that found in other recent studies. In this paper the effects of evolving large-scale dynamical factors on the projected TC PI are also quantified, using an empirical formation that takes into account the effects of vertical shear and translational speed based on a statistical analysis of present-day observations. Including the dynamical efficiency in the formulation of PI leads to larger projected changes in PI relative to that obtained using just THPI in some basins and smaller projected changes in others. The inclusion of the dynamical efficiency has the largest relative effect in the main development region (MDR) of the North Atlantic, where it leads to a 50% reduction in the projected PI change. Results are also presented for the basin-averaged changes in PI for the climate projections from each of the 15 individual models. There is considerable variation among the results for individual model projections, and for some models the projected increase in PI in the eastern Pacific and south Indian Ocean regions exceeds 10%.

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Kecskés, István, and Péter Odry. "Optimization of PI and Fuzzy-PI Controllers on Simulation Model of Szabad(ka)-II Walking Robot." International Journal of Advanced Robotic Systems 11, no. 11 (November 18, 2014): 186. http://dx.doi.org/10.5772/59102.

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Canaan-Kuhl, S., E. S. Venkatraman, S. I. Ernst, R. A. Olshen, and B. D. Myers. "Relationships among protein and albumin concentrations and oncotic pressure in nephrotic plasma." American Journal of Physiology-Renal Physiology 264, no. 6 (June 1, 1993): F1052—F1059. http://dx.doi.org/10.1152/ajprenal.1993.264.6.f1052.

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We determined oncotic pressure (pi) by membrane osmometry and assayed total protein (TP) and albumin (Alb) concentrations in plasma of 102 nephrotic subjects and 27 healthy controls. All three quantities were markedly depressed in the nephrotic group. When plasma was serially diluted and concentrated, nephrotic but not control plasma also exhibited a highly variable change point in the nonlinear relationship between TP or Alb and pi. Absent a unique change point, we developed quadratic models which incorporated TP, Alb, and (TP x Alb) to prospectively predict pi in unperturbed plasma. The ability of the most successful quadratic model to predict pi in afferent or efferent arteriolar plasma was limited; the prediction errors reached 10 mmHg in nephrotic and 6 mmHg in control subjects. The nephrotic model coefficients also differed significantly from control and pointed to an important influence of nonalbumin proteins on pi in nephrotic plasma. Investigation of the intrinsic membrane properties of diseased glomerular capillary walls requires precise knowledge of pi. For this purpose we recommend that pi be directly determined by membrane osmometry rather than calculated from protein concentration(s).

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OSCAR, T. P. "Development and Validation of a Stochastic Model for Predicting the Growth of Salmonella Typhimurium DT104 from a Low Initial Density on Chicken Frankfurters with Native Microflora†." Journal of Food Protection 71, no. 6 (June 1, 2008): 1135–44. http://dx.doi.org/10.4315/0362-028x-71.6.1135.

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The presence of native microflora is associated with increased variation of Salmonella growth among batches and portions of chicken meat and as a function of temperature. However, variation of Salmonella growth can be modeled using a 95% prediction interval (PI). Because there are no reports of predictive models for growth of Salmonella on ready-to-eat poultry meat products with native microflora and because Salmonella is usually present at low levels on poultry meat, the current study was conducted to develop and validate a stochastic model for predicting the growth of Salmonella from a low initial density on chicken frankfurters with native microflora. One-gram portions of chicken frankfurters were inoculated with 0.5 log CFU of a single strain (ATCC 700408) of Salmonella Typhimurium DT104. Changes in pathogen numbers over time, N(t), were fit to a two-phase linear primary model to determine lag time (λ), growth rate (μ), and the 95% PI, which characterized the variation of pathogen growth. Secondary quadratic polynomial models for natural log transformations of λ, μ, and PI as a function of temperature (10 to 40°C) were obtained by nonlinear regression. The primary and secondary models were combined in a computer spreadsheet to create a tertiary model that predicted the growth curve and PI. The pathogen did not grow on chicken frankfurters incubated at 10 to 12°C, but μ ranged from 0.003 log CFU/g/h at 14°C to 0.176 log CFU/g/h at 30°C to 0.1 log CFU/g/h at 40°C. Variation of N(t) increased as a function of time (i.e., PI was lower during lag phase than during growth phase) and temperature (i.e., PI was higher at 18 to 40°C than at 10 to 14°C). For dependent data (n = 338), 90.5% of observed N(t) values were in the PI predicted by the tertiary model, whereas for independent data (n = 86), 89.5% of observed N(t) values were in the PI predicted by the tertiary model. Based on this performance evaluation, the tertiary model was considered acceptable and valid for stochastic predictions of Salmonella Typhimurium DT104 growth from a low initial density on chicken frankfurters with native microflora.

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Bouchard, Nancy. "ETHICS EDUCATION IN RELIGIOUS EDUCATION. ANALYSIS OF THE MAJOR ORIENTATIONS FOUND IN ENGLAND’S NATIONAL FRAMEWORK FOR RELIGIOUS EDUCATION." Regards croisés de la recherche sur l’accompagnement professionnel en milieux scolaire et universitaire 55, no. 1 (March 11, 2021): 127–50. http://dx.doi.org/10.7202/1075723ar.

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This paper presents an innovative analytical model of Ethics Education, and uses it to analyze the major learning components found in England’s National framework for religious education (NFRE). The model includes seven components: three simple ones – Education for Society (ES), Personal Identity (PI), Education for Otherness (EO) – and four interwoven ones (PI/EO, PI/ES, EO/ES and PI/EO/ES). Our results from the analysis of the NFRE show a strong concentration of PI and EO components in its learning goals, and validates the model of Ethics Education developed in French-speaking context.

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Deslée, Carine, and Oussama Ammar. "Transforming SNCF’s business model through the evolution of participative innovation routine." European Business Review 28, no. 4 (June 13, 2016): 467–85. http://dx.doi.org/10.1108/ebr-03-2015-0024.

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Purpose Many barriers prevent firms from changing their business models. Inertia, as it accumulates over time, transforms into organizational routines that doom change; however, it can also be a source of organizational flexibility. How does a business model evolve in interaction with organizational routines? This paper aims to study the interactions between forms of participative innovation (PI) and existing business models. Design/methodology/approach The exploratory approach includes interviews, participant and non-participant observations and archive analysis. It adapts an existing framework, based on the notion of scripts, to the evolutionary dynamic of organizational routines at the French railway company SNCF. The analysis of a set of contextual elements clarifies events over time and interactions between PI and the company’s business model. Findings The empirical insights indicate how existing routines can help reinvent business models. Business model components evolve along the transformation phases of PI. The case reveals co-evolutionary dynamics: evolution of the organizational routine from bureaucratic suggestion, to structured innovation, to PI leads to the transformation of the business model from functionalist, to customer-centric, to open business model. Practical implications Firm managers can think more proactively about how to reinvent established business models by innovating their existing routines, according to the position and role of routines, shifting from sources of rigidity and inertia to levers for innovation and change. Originality/value The business model concept serves as a prism of analysis for organizational routines. Organizational routines are sources of flexibility, strategic renewal and business model reinvention.

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Xu, Ke, Ying Liu, Jun Zhu, and Cheng Wu. "Pi calculus-based bitransformation of state-driven model and flow-driven model." International Journal of Business Process Integration and Management 1, no. 4 (2006): 292. http://dx.doi.org/10.1504/ijbpim.2006.012633.

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Fan, Sheng Wen, Xin Yong Zhao, Zheng Xi Li, and Hu Zhang. "A Flux Observer of Voltage-Current Model Based on PI Regulator." Advanced Materials Research 383-390 (November 2011): 2612–17. http://dx.doi.org/10.4028/www.scientific.net/amr.383-390.2612.

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This paper proposes a flux observer of voltage-current model based on PI regulator .Flux estimator value of current model at low speed is convergent gradually, so we adopt the current model. On the basis of traditional voltage model, we adopt improved model which substitute pure integral part with first-order inertia part and a compensation part, and it can solve DC drift and initial value with this method. Two models can be switched smoothly without concussion by setting appropriate PI parameter. The performance of the model is investigated and verified experimentally.

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Kramer, Ole. "Non-equilibrium mechanical properties of model networks." British Polymer Journal 17, no. 2 (June 1985): 129–33. http://dx.doi.org/10.1002/pi.4980170208.

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Куделич, О. А., Г. Г. Кондратенко, Т. А. Летковская, М. П. Потапнев, А. М. Неровня, and О. А. Степуро. "Morphological Substantiation of Severe Acute Pancreatitis Model." Хирургия. Восточная Европа, no. 4 (December 13, 2022): 490–502. http://dx.doi.org/10.34883/pi.2022.11.4.014.

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Цель. Отработать технологию воспроизведения и по патоморфологическим изменениям в органах и тканях обосновать выбор модели тяжелого острого (некротизирующего) панкреатита для последующего выявления лечебного потенциала биопродуктов клеточного происхождения. Материалы и методы. Экспериментальное исследование проводилось на 30 половозрелых крысах-самцах линии Wistar. Животные случайным образом были разделены на 3 группы: I группа (n=6) – интактные животные, II группа (n=6) – моделирование острого панкреатита (ОП) путем введения 10%-го раствора Тритон Х-100, III группа (n=18) – моделирование ОП путем введения 5%-го раствора Тритон Х-100. Из эксперимента животных выводили путем эвтаназии на 1, 2, 3 и 7-е сутки от начала моделирования ОП. У всех животных в контрольные сроки производили забор крови и органов для патоморфологических исследований. Результаты. У животных II группы наблюдалась молниеносная (фульминантная) форма заболевания, при которой на фоне субтотального некроза поджелудочной железы происходило системное нарушение микроциркуляции с развитием синдрома диссеминированного внутрисосудистого свертывания и признаками полиорганного поражения. Летальность составила 100%. В III группе летальных исходов не было. В течение первых суток после моделирования у крыс отмечались гиподинамия, несколько замедленное поведение, снижение исследовательской реакции, они переставали употреблять пищу. При аутопсии животных в брюшной полости определялось небольшое количество серозно-геморрагического выпота, поджелудочная железа была пастозная, рыхло спаянная с желудком, селезенкой и петлей тонкой кишки. При гистологическом исследовании в поджелудочной железе отмечался некроз с разной степенью выраженности от субтотального до очагового в краевых отделах. Заключение. Макроскопические изменения в брюшной полости и непосредственно в поджелудочной железе, а также гистологически подтвержденный некроз ткани железы и патологические изменения в сердце, легких, печени и почках при моделировании ОП путем введения 0,3 мл 5%-го раствора Тритона Х-100 в паренхиму поджелудочной железы свидетельствуют о развитии у животных тяжелого острого (некротизирующего) панкреатита, что делает модель пригодной для изучения влияния биопродуктов клеточного происхождения на данный патологический процесс. Funding. The work was carried out in accordance with the plan of scientific research on the assignment "To develop a method of acute severe experimental pancreatitis treatment using bioproducts of cellular origin" under the subprogram "Molecular and cellular biotechnologies-2" of the state scientific and technical program "Biotechnologies-2" for 2021–2025, No. of state registration in the State Institution "Bel ISA" 20220363 dated 03/28/2022. The authors received no financial support from manufacturing companies. Ethics committee approval. The research protocol was approved at the ethics committee of the Belarusian State Medical University meeting (No. 8 dated 02/01/2022). All works were carried out in accordance with international rules and the principles of the European Convention for the Protection of Vertebrate Animals used for Experimental and other Scientific Purposes (Strasbourg, 18.03.1986), as well as in accordance with the Regulations on the use of experimental animals in research and educational process in the Belarusian State Medical University. Abstract Purpose. To work out the reproduction technology and, based on pathomorphological changes in organs and tissues, to substantiate the choice of a model of severe acute (necrotizing) pancreatitis for subsequent identification of therapeutic potential of cell- based bioproducts. Materials and methods. This experimental study was carried out in 30 adults Wistar rat. Animals were randomly divided into 3 groups: group I (n=6) – intact animals, group II (n=6) – acute pancreatitis (AP) induced by the introduction of a 10% solution of Triton X-100, group III (n=18) – AP induced by the introduction of a 5% solution of Triton X-100. Animals were withdrawn from the experiment by euthanasia on the 1st, 2nd, 3rd and 7th day. Blood and organ sampling for pathomorphological studies was performed in all animals within control timeframe. Results. In group II animals a fulminant form of the disease was observed, in which, against the background of subtotal necrosis of the pancreas, a systemic microcirculation disorder occurred with the development of disseminated intravascular coagulation syndrome and signs of multiple organ damage. Mortality was 100%. There was no lethality in group III. During the first day after induced AP, the rats showed inactivity, somewhat delayed behavior, decreased research response, they stopped eating. In the autopsy of animals, a small amount of serous hemorrhagic effusion was detected in the abdominal cavity; the pancreas was pasty, loosely soldered to the stomach, spleen and small intestine. Histological examination of the pancreas showed necrosis with varying degrees of severity from subtotal to focal in the marginal parts. Conclusion. Macroscopic changes in the abdominal cavity and directly in the pancreas, as well as histologically confirmed necrosis of the gland tissue and pathological changes in the heart, lungs, liver and kidneys, in AP induced by introducing 0.3 ml of 5% Triton X-100 solution into the pancreatic parenchyma indicate the development of severe acute (necrotizing) pancreatitis in animals, making the model suitable for studying the effect of cell-based bioproducts on this pathological process.

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Li, Renhau, and Jiunnhorng Lou. "Professional Identity Scale for Male Nursing Students Using the Rasch Model and Latent Regression on Gender and Background Variables." Healthcare 10, no. 7 (July 15, 2022): 1317. http://dx.doi.org/10.3390/healthcare10071317.

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This study developed a professional identity (PI) scale and compared the scores of male and female nursing students. Few studies have focused on male nursing students to understand their PI vis-à-vis related background variables relative to female ones. We recruited 384 male nursing students in Taiwan to construct the PI scale based on the Rasch model with 12 items and 3 factors, namely cognitive, emotional, and behavioural identity. The PI scale showed a good model fit in confirmatory factor analysis, with factor loadings ranging from 0.56 to 0.73. Cronbach’s alpha coefficients ranged from 0.72 to 0.79 for the three subscales and 0.88 for the entire scale. The results of the multiple latent regression analyses showed that male nursing students had higher PI in the total scale and its three factors than did female ones. Having mothers with medical or nursing-related jobs may help promote the cognitive PI of male nursing students. Experiences of caring for family members can help promote PI among female nursing students but not among male ones. Future research should focus on decreasing loss in behavioural PI for both genders after graduation and on reinforcing the association between behavioural PI and interest in nursing among male nursing students.

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Kwon, Ji-Won, Sangwon Ryu, Jihoon Park, Haneul Lee, Yunchang Jang, Seolhye Park, and Gon-Ho Kim. "Development of Virtual Metrology Using Plasma Information Variables to Predict Si Etch Profile Processed by SF6/O2/Ar Capacitively Coupled Plasma." Materials 14, no. 11 (June 1, 2021): 3005. http://dx.doi.org/10.3390/ma14113005.

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In the semiconductor etch process, as the critical dimension (CD) decreases and the difficulty of the process control increases, in-situ and real-time etch profile monitoring becomes important. It leads to the development of virtual metrology (VM) technology, one of the measurement and inspection (MI) technology that predicts the etch profile during the process. Recently, VM to predict the etch depth using plasma information (PI) variables and the etch process data based on the statistical regression method had been developed and demonstrated high performance. In this study, VM using PI variables, named PI-VM, was extended to monitor the etch profile and investigated the role of PI variables and features of PI-VM. PI variables are obtained through analysis on optical emission spectrum data. The features in PI-VM are investigated in terms of plasma physics and etch kinetics. The PI-VM is developed to monitor the etch depth, bowing CD, etch depth times bowing CD (rectangular model), and etch area model (non-rectangular model). PI-VM for etch depth and bowing CD showed high prediction accuracy of R-square value (R2) 0.8 or higher. The rectangular and non-rectangular etch area model PI-VM showed prediction accuracy R2 of 0.78 and 0.49, respectively. The first trial of virtual metrology to monitor the etch profile will contribute to the development of the etch profile control technology.

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Vijayalakshmi, S., and D. Manamalli. "LPV Modeling and Performance Analysis of Boiler Drum Using IMC-PI Controller." Applied Mechanics and Materials 415 (September 2013): 117–21. http://dx.doi.org/10.4028/www.scientific.net/amm.415.117.

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This paper presents the development of linear parameter varying model and control strategy for Industrial boiler drum. The Boiler drum is modeled using the fundamental mass and energy balance equations and data collected from the real time plant. Based on the open loop response of the Boiler drum, the whole non-linear process is split into 4 approximate linear regions and their respective transfer function models are formed from the input-output data. Since the process is nonlinear in nature, linear transfer function models are developed in each operating regions and they are interpolated to obtain the linear parameter varying model. The LPV model is validated using the real time data. Since a single PI controller for whole process does not satisfy both servo and regulatory performance, a multi-model approach with four PI controllers is implemented for the process. Internal Model Control ( IMC)-PI controller is designed to analysis the servo and regulatory performance of the developed LPV model.

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Khai Tran, Thien, Kha Tu Huynh, Dac-Nhuong Le, Muhammad Arif, and Hoa Minh Dinh. "A Deep Trash Classification Model on Raspberry Pi 4." Intelligent Automation & Soft Computing 35, no. 2 (2023): 2479–91. http://dx.doi.org/10.32604/iasc.2023.029078.

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Huh, Hyungjin, Yuanfeng Jin, Youwei Ma, and Guanghui Jin. "Standing wave solution for the generalized Jackiw-Pi model." Advances in Nonlinear Analysis 12, no. 1 (September 13, 2022): 369–82. http://dx.doi.org/10.1515/anona-2022-0261.

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Abstract We study the existence and nonexistence of the standing wave solution for the generalized Jackiw-Pi model by using variational method. Depending on interaction strength λ \lambda , we have three different situations. The existence and nonexistence of the standing wave solution correspond to 1 < λ 1\lt \lambda and 0 < λ < 1 0\lt \lambda \lt 1 , respectively. We have the explicit solution of self-dual equation for the borderline λ = 1 \lambda =1 .

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