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Статті в журналах з теми "Distributed nonlinearity"

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Автор: Grafiati

Опубліковано: 14 березня 2023

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1

Wu, Jigang, Mian Jiang, Xuejun Li, and Heying Feng. "Assessment of severity of nonlinearity for distributed parameter systems via nonlinearity measures." Journal of Process Control 58 (October 2017): 1–10. http://dx.doi.org/10.1016/j.jprocont.2017.08.001.

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2

Reyero-Santiago, Pedro, Carlos Ocampo-Martinez, Rolf Findeisen, and Richard D. Braatz. "Nonlinearity Measures for Distributed Parameter and Descriptor Systems." IFAC-PapersOnLine 53, no. 2 (2020): 7545–50. http://dx.doi.org/10.1016/j.ifacol.2020.12.1349.

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3

Nasieva, I., J. D. Ania-Castañón, and S. K. Turitsyn. "Nonlinearity management in fibre links with distributed amplification." Electronics Letters 39, no. 11 (2003): 856. http://dx.doi.org/10.1049/el:20030551.

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4

śliwiński, Przemysław, Krzysztof Berezowski, Paweł Wachel, Gilles Sicard, and Laurent Fesquet. "Empirical recovery of input nonlinearity in distributed element models." IFAC Proceedings Volumes 46, no. 11 (2013): 617–22. http://dx.doi.org/10.3182/20130703-3-fr-4038.00092.

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5

Elschner, Robert, Thomas Richter, Tomoyuki Kato, Shigeki Watanabe, and Colja Schubert. "Distributed Ultradense Optical Frequency-Division Multiplexing Using Fiber Nonlinearity." Journal of Lightwave Technology 31, no. 4 (February 2013): 628–33. http://dx.doi.org/10.1109/jlt.2012.2229259.

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6

Foo, Benjamin, Bill Corcoran, Chen Zhu, and Arthur J. Lowery. "Distributed Nonlinearity Compensation of Dual-Polarization Signals Using Optoelectronics." IEEE Photonics Technology Letters 28, no. 20 (October 15, 2016): 2141–44. http://dx.doi.org/10.1109/lpt.2016.2584105.

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7

Marblestone, Adam Henry, and Michel Devoret. "Exponential quantum enhancement for distributed addition with local nonlinearity." Quantum Information Processing 9, no. 1 (August 15, 2009): 47–59. http://dx.doi.org/10.1007/s11128-009-0126-9.

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8

Fei, Jin-Xi, and Chun-Long Zheng. "Chirped Self-Similar Solutions of a Generalized Nonlinear Schrödinger Equation." Zeitschrift für Naturforschung A 66, no. 1-2 (February 1, 2011): 1–5. http://dx.doi.org/10.1515/zna-2011-1-201.

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Анотація:

An improved homogeneous balance principle and an F-expansion technique are used to construct exact chirped self-similar solutions to the generalized nonlinear Schrödinger equation with distributed dispersion, nonlinearity, and gain coefficients. Such solutions exist under certain conditions and impose constraints on the functions describing dispersion, nonlinearity, and distributed gain function. The results show that the chirp function is related only to the dispersion coefficient, however, it affects all of the system parameters, which influence the form of the wave amplitude. As few characteristic examples and some simple chirped self-similar waves are presented.

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9

JONSSON, FREDRIK, and CHRISTOS FLYTZANIS. "OPTICAL PARAMETRIC INTERACTIONS IN DISTRIBUTED MAGNETO-OPTICAL BRAGG GRATINGS." Journal of Nonlinear Optical Physics & Materials 15, no. 01 (March 2006): 113–39. http://dx.doi.org/10.1142/s0218863506003177.

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We analyze optical parametric interactions in nonlinear magneto-optical media simultaneously possessing a second-order nonlinearity and a spatial modulation of its linear optical properties. An analytic solution for the conversion efficiency of energy transfer from an optical pump to a signal wave is presented, and we discuss the possibility of tunability that is added to the parametric process.

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10

Tzou, H. S., and J. H. Ding. "Distributed Modal Voltages of Nonlinear Paraboloidal Shells With Distributed Neurons." Journal of Vibration and Acoustics 126, no. 1 (January 1, 2004): 47–53. http://dx.doi.org/10.1115/1.1640359.

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Effective health monitoring and distributed control of advanced structures depends on accurate measurements of dynamic responses of elastic structures. Conventional sensors used for structural measurement are usually add-on “discrete” devices. Lightweight distributed thin-film piezoelectric neurons fully integrated (laminated or embedded) with structural components can serve as in-situ sensors monitoring structure’s dynamic state and health status. This study is to investigate modal voltages and detailed signal contributions of linear or nonlinear paraboloidal shells of revolution laminated with piezoelectric neurons. Signal generation of distributed neuron sensors laminated on paraboloidal shells is defined first, based on the open-voltage assumption and Maxwell’s principle. The neuron signal of a linear paraboloidal shell is composed of a linear membrane component and a linear bending component; the signal of a nonlinear paraboloidal shell is composed of nonlinear and linear membrane components and a linear bending component due to the von Karman geometric nonlinearity. Signal components and distributed modal voltages of linear and nonlinear paraboloidal shells with various curvatures and thickness are investigated.

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11

Zhao, Yangping, Simon Hemour, Hao Chen, Taijun Liu, and Ke Wu. "Power-Handling Capacity and Nonlinearity Analysis for Distributed Electronic Impedance Synthesizer." IEEE Transactions on Circuits and Systems I: Regular Papers 65, no. 4 (April 2018): 1340–48. http://dx.doi.org/10.1109/tcsi.2017.2756020.

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12

Saavedra, Gabriel, Daniel Semrau, Lidia Galdino, Robert I. Killey, and Polina Bayvel. "Digital back-propagation for nonlinearity mitigation in distributed Raman amplified links." Optics Express 25, no. 5 (February 28, 2017): 5431. http://dx.doi.org/10.1364/oe.25.005431.

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13

Chen, Dong, Yuzhuo Wang, and Xiping He. "Fastener Scaffold Stability Analysis and Experimental Research Under Non-Uniform Distributed Load." Open Civil Engineering Journal 11, no. 1 (November 17, 2017): 873–86. http://dx.doi.org/10.2174/1874149501711010873.

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Introduction: An experiment was carried out on the basis of material nonlinearity, geometry nonlinearity and semi rigid fasteners for the internal force distribution and transfer rules of the scaffold. Methods: This paper presents results from a set of numerical studies on the influence of the random imperfection method, the interaction of various imperfections and the most disadvantageous stability limit load. Result and Conclusion: Data from numerical studies indicate that stress at the top of the vertical bar was larger within the scope of load; and the horizontal bar and brace participated in the work of the scaffold. The internal force that came through the two types of bars enabled us to realize the redistribution in every vertical bar in order to decrease the stress from the top to the bottom of the vertical bars and involve them in the work of the scaffold. Data from numerical studies also indicates that these imperfections all interact with each other and the load distribution also influences the scaffold’s stability.

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14

Zhang, Liangmin, Benjamin Steckling, Adrian Lucero, Andreas Schmitt-Sody, William White, and Donald Shiffler. "Third-order optical nonlinearity effect of DNA- and polyvinylpyrrolidone-functionalized carbon nanotubes." Journal of Nonlinear Optical Physics & Materials 24, no. 01 (March 2015): 1550008. http://dx.doi.org/10.1142/s0218863515500083.

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We have used single-stranded DNA (ssDNA) and polyvinylpyrrolidone (PVP) to disperse multiwalled carbon nanotubes (MWNTs) in water solution through sonication and centrifuge procedures. The advantage of these two polymers is that they do not need toxic organic solvents to distribute the carbon nanotubes. The scanning electron microscope (SEM) technique has been used to investigate the interaction between polymer molecules and MWNTs. The images show that MWNTs can be distributed effectively into the two polymer solutions. The third-order optical susceptibility, nonlinear optical absorption coefficient and optical power limiting of these dispersions have been characterized experimentally using a femtosecond laser system with a tunable range of 750–850 nm. The imaginary part of the third-order optical susceptibility has also been computed.

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15

Rosa, Paweł, Giuseppe Rizzelli Martella, Juan Diego Ania Castañón, and Mingming Tan. "Asymmetry Optimization for 10 THz OPC Transmission over the C + L Bands Using Distributed Raman Amplification." Sensors 23, no. 6 (March 7, 2023): 2906. http://dx.doi.org/10.3390/s23062906.

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An optimized design for a broadband Raman optical amplifier in standard single-mode fiber covering the C and L bands is presented, to be used in combination with wideband optical phase conjugation (OPC) nonlinearity compensation. The use of two Raman pumps and fiber Bragg grating reflectors at different wavelengths for the transmitted (C band) and conjugated (L band) WDM channels is proposed to extend bandwidth beyond the limits imposed by single-wavelength pumping, for a total 10 THz. Optimization of pump and reflector wavelength, as well as pump powers, allows us to achieve low asymmetry across the whole transmission band for optimal nonlinearity compensation. System performance is simulated to estimate OSNR, gain flatness and nonlinear Kerr distortion.

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16

Galhoud, L. E., S. F. Masri, and J. C. Anderson. "Transfer Function of a Class of Nonlinear Multidegree of Freedom Oscillators." Journal of Applied Mechanics 54, no. 1 (March 1, 1987): 215–25. http://dx.doi.org/10.1115/1.3172961.

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Analytical and experimental studies were made of the dynamic response of a multidegree-of-freedom system with a geometric nonlinearity, which is encountered in many practical engineering applications. An exact solution was derived for the steady-state motion of a viscously damped two-degree-of-freedom oscillator with an unsymmetric geomtric nonlinearity, under the action of harmonic excitation. Experimental measurements of a distributed-parameter mechanical model under harmonic excitation verified the analytical findings. The effect of various dimensionless parameters on the system response was determined.

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17

Kang, Zi-jian, Yi-ying Gu, Wen-wu Zhu, Feng Fan, Jing-jing Hu, and Ming-shan Zhao. "Linearization of microwave photonic link based on nonlinearity of distributed feedback laser." Optical Engineering 55, no. 2 (February 18, 2016): 026115. http://dx.doi.org/10.1117/1.oe.55.2.026115.

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18

Cao, Kairui, Guanglu Hao, Qingfeng Liu, Liying Tan, and Jing Ma. "Hysteresis Modeling and Compensation of Fast Steering Mirrors with Hysteresis Operator Based Back Propagation Neural Networks." Micromachines 12, no. 7 (June 22, 2021): 732. http://dx.doi.org/10.3390/mi12070732.

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Fast steering mirrors (FSMs), driven by piezoelectric ceramics, are usually used as actuators for high-precision beam control. A FSM generally contains four ceramics that are distributed in a crisscross pattern. The cooperative movement of the two ceramics along one radial direction generates the deflection of the FSM in the same orientation. Unlike the hysteresis nonlinearity of a single piezoelectric ceramic, which is symmetric or asymmetric, the FSM exhibits complex hysteresis characteristics. In this paper, a systematic way of modeling the hysteresis nonlinearity of FSMs is proposed using a Madelung’s rules based symmetric hysteresis operator with a cascaded neural network. The hysteresis operator provides a basic hysteresis motion for the FSM. The neural network modifies the basic hysteresis motion to accurately describe the hysteresis nonlinearity of FSMs. The wiping-out and congruency properties of the proposed method are also analyzed. Moreover, the inverse hysteresis model is constructed to reduce the hysteresis nonlinearity of FSMs. The effectiveness of the presented model is validated by experimental results.

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19

Lyu, Yang, Quan Pan, and Jian Lv. "Unscented Transformation-Based Multi-Robot Collaborative Self-Localization and Distributed Target Tracking." Applied Sciences 9, no. 5 (March 3, 2019): 903. http://dx.doi.org/10.3390/app9050903.

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The problem of multi-robot collaborative self-localization and distributed target tracking in practical scenarios is studied in this work. The major challenge in solving the problem in a distributed fashion is properly dealing with inter-robot and robot–target correlations in order to realize consistent state estimates of the local robots and the target simultaneously. In this paper, an unscented transformation-based collaborative self-localization and target tracking algorithm is proposed. Inter-robot correlations are approximated in a distributed fashion, and robot–target correlations are safely discarded with a conservative covariance intersection method. Furthermore, the state update is realized in an asynchronous manner with different kinds of measurements while accounting for measurement and communication limitations. Finally, to deal with nonlinearity in the processes and measurement models, the unscented transformation approach is adopted. Unscented transformation is better able to characterize nonlinearity than the extended Kalman filter-based method and does not require computation of the Jacobian matrix. Simulations are extensively studied to show that the proposed method can realize stable state estimates of both local robots and targets, and results show that it outperforms the EKF-based method. Moreover, the effectiveness of the proposed method is verified on experimental quadrotor platforms carrying off-the-shelf onboard sensors.

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20

Zhao, Cui, and Tan. "Nonlinearity Correction in OFDR System Using a Zero-Crossing Detection-Based Clock and Self-Reference." Sensors 19, no. 17 (August 22, 2019): 3660. http://dx.doi.org/10.3390/s19173660.

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Tuning nonlinearity of the laser is the main source of deterioration of the spatial resolution in optical frequency-domain reflectometry (OFDR) system. In this paper, we develop methods for tuning nonlinearity correction in an OFDR system from the aspect of data acquisition and post-processing. An external clock based on a zero-crossing detection is researched and implemented using a customized circuit. Equal-spacing frequency sampling is, therefore, achieved in real-time. The zero-crossing detection for the beating frequency of 20 MHz is achieved. The maximum sensing distance can reach the same length of the auxiliary interferometer. Moreover, a nonlinearity correction method based on the self-reference method is proposed. The auxiliary interferometer is no longer necessary in this scheme. The tuning information of the laser is extracted by a strong reflectivity point at the end of the measured fiber. The tuning information is then used to resample the raw signal, and the nonlinearity correction can be achieved. The spatial resolution test and the distributed strain measurement test were both performed based on this nonlinearity correction method. The results validated the feasibility of the proposed method. This method reduces the hardware and data burden for the system and has potential value for system integration and miniaturization.

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21

IWAŃSKA, ŁUCJA. "Recovering nonlinearly distributed knowledge: Computing discourse structure in factual reports." Natural Language Engineering 3, no. 2 (September 1997): 191–213. http://dx.doi.org/10.1017/s1351324997001770.

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This paper presents a new type of nonlinear discourse structure found to be very common in free English texts. This structure reflects nonlinear presentation of the information and knowledge conveyed by the texts. It is argued that such nonlinearity is representationally and informationally advantageous because it allows one to create smaller, more compact texts. The paper presents a heuristics-based, relatively domain-independent algorithm for computing this new text structure. The paper discusses good quantitative and qualitative performance of the algorithm, and presents the results of the extensive tests on a large volume of free English texts.

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22

Stoyan, V. A. "Pseudoinversion of the Mathematical Models of Distributed Differential Systems with Additive Definite Nonlinearity." Cybernetics and Systems Analysis 57, no. 1 (January 2021): 66–81. http://dx.doi.org/10.1007/s10559-021-00330-4.

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23

Wang, Chen, Jun Hu, Hui Yu, and Dongyan Chen. "Optimized distributed fusion filtering for singular systems with fading measurements and stochastic nonlinearity." AIMS Mathematics 7, no. 2 (2022): 2543–67. http://dx.doi.org/10.3934/math.2022143.

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Анотація:

<abstract><p>In this paper, the problem of optimized distributed fusion filtering is considered for a class of multi-sensor singular systems in the presence of fading measurements and stochastic nonlinearity. By utilizing the standard singular value decomposition, the multi-sensor stochastic singular systems are simplified to two reduced-order nonsingular subsystems (RONSs). The local filters (LFs) with corresponding error covariance matrices are proposed for RONSs via the innovation analysis approach. Then, on the basis of the matrix-weighted fusion estimation algorithm, the distributed fusion filters (DFFs) are designed for RONSs with multiple sensors in the linear minimum variance sense. Moreover, the DFFs are obtained by utilizing the state transformation for original singular systems. It can be observed that the DFFs have better accuracy in contrast with the LFs. Finally, an illustrate example is put forward to verify the feasibility of the proposed fusion filtering scheme.</p></abstract>

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24

Hui, Rongqing, and Adalberto Sapia. "Nonlinearity difference in the two passbands of a distributed-feedback semiconductor laser amplifier." Optics Letters 15, no. 17 (September 1, 1990): 956. http://dx.doi.org/10.1364/ol.15.000956.

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25

Romanova, E. A., and L. A. Mel’nikov. "Optical pulse propagation in an irregular waveguide with spatially distributed Kerr-like nonlinearity." Optics and Spectroscopy 95, no. 2 (August 2003): 268–75. http://dx.doi.org/10.1134/1.1604435.

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26

Zhang, Lei, and Bin Liu. "Optimal distributed controls of a class of nonlinear dispersive equations with cubic nonlinearity." Nonlinear Analysis: Theory, Methods & Applications 122 (July 2015): 23–42. http://dx.doi.org/10.1016/j.na.2015.03.018.

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27

Askari, Amir Reza, and Masoud Tahani. "Investigating Nonlinear Vibration of a Fully Clamped Nanobeam in Presence of the van der Waals Attraction." Applied Mechanics and Materials 226-228 (November 2012): 181–85. http://dx.doi.org/10.4028/www.scientific.net/amm.226-228.181.

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Анотація:

In this paper, combination of the Galerkin decomposition procedure and homotopy analysis method (HAM) is utilized to derive analytical approximate solutions for nonlinear vibration of a fully clamped nanobeam used in the applications of nano-electromechanical systems (NEMS), under the effect of van der Waals (vdW) force. The model accounts for the inherent nonlinearity of distributed vdW force and geometrical nonlinearity of von Kármán mid-plane stretching as well as the influence of applied axial loading. The HAM is also optimized to accelerate the convergence of approximate solution. The present results are found to agree well with those obtained by the fourth-order Runge-Kutta method.

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28

Zhang, Chun-Yi, Jing-Shan Wei, Ze Wang, Zhe-Shan Yuan, Cheng-Wei Fei, and Cheng Lu. "Creep-Based Reliability Evaluation of Turbine Blade-Tip Clearance with Novel Neural Network Regression." Materials 12, no. 21 (October 29, 2019): 3552. http://dx.doi.org/10.3390/ma12213552.

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To reveal the effect of high-temperature creep on the blade-tip radial running clearance of aeroengine high-pressure turbines, a distributed collaborative generalized regression extremum neural network is proposed by absorbing the heuristic thoughts of distributed collaborative response surface method and the generalized extremum neural network, in order to improve the reliability analysis of blade-tip clearance with creep behavior in terms of modeling precision and simulation efficiency. In this method, the generalized extremum neural network was used to handle the transients by simplifying the response process as one extremum and to address the strong nonlinearity by means of its nonlinear mapping ability. The distributed collaborative response surface method was applied to handle multi-object multi-discipline analysis, by decomposing one “big” model with hyperparameters and high nonlinearity into a series of “small” sub-models with few parameters and low nonlinearity. Based on the developed method, the blade-tip clearance reliability analysis of an aeroengine high-pressure turbine was performed subject to the creep behaviors of structural materials, by considering the randomness of influencing parameters such as gas temperature, rotational speed, material parameters, convective heat transfer coefficient, and so forth. It was found that the reliability degree of the clearance is 0.9909 when the allowable value is 2.2 mm, and the creep deformation of the clearance presents a normal distribution with a mean of 1.9829 mm and a standard deviation of 0.07539 mm. Based on a comparison of the methods, it is demonstrated that the proposed method requires a computing time of 1.201 s and has a computational accuracy of 99.929% over 104 simulations, which are improvements of 70.5% and 1.23%, respectively, relative to the distributed collaborative response surface method. Meanwhile, the high efficiency and high precision of the presented approach become more obvious with the increasing simulations. The efforts of this study provide a promising approach to improve the dynamic reliability analysis of complex structures.

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29

Xu, Xinying, Qi Chen, Mifeng Ren, Lan Cheng, and Jun Xie. "Combustion Optimization for Coal Fired Power Plant Boilers Based on Improved Distributed ELM and Distributed PSO." Energies 12, no. 6 (March 17, 2019): 1036. http://dx.doi.org/10.3390/en12061036.

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Increasing the combustion efficiency of power plant boilers and reducing pollutant emissions are important for energy conservation and environmental protection. The power plant boiler combustion process is a complex multi-input/multi-output system, with a high degree of nonlinearity and strong coupling characteristics. It is necessary to optimize the boiler combustion model by means of artificial intelligence methods. However, the traditional intelligent algorithms cannot deal effectively with the massive and high dimensional power station data. In this paper, a distributed combustion optimization method for boilers is proposed. The MapReduce programming framework is used to parallelize the proposed algorithm model and improve its ability to deal with big data. An improved distributed extreme learning machine is used to establish the combustion system model aiming at boiler combustion efficiency and NOx emission. The distributed particle swarm optimization algorithm based on MapReduce is used to optimize the input parameters of boiler combustion model, and weighted coefficient method is used to solve the multi-objective optimization problem (boiler combustion efficiency and NOx emissions). According to the experimental analysis, the results show that the method can optimize the boiler combustion efficiency and NOx emissions by combining different weight coefficients as needed.

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30

HORINOUCHI, S., H. IMAI, H. YAMASAKI, K. FUKAO, G. J. ZHANG, T. KINOSHITA, K. MITO, H. HIRASHIMA, and K. SASAKI. "SECOND ORDER NONLINEAR OPTICAL PROPERTIES IN SILICA-BASED GLASS FILM WAVEGUIDES." Journal of Nonlinear Optical Physics & Materials 05, no. 02 (April 1996): 189–204. http://dx.doi.org/10.1142/s0218863596000155.

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Анотація:

Phase-matched blue second harmonic generation was observed in a corona-poled Corning 7059 glass film waveguide. The induced quadratic optical nonlinearity was examined by second harmonic generation with a time dependent decay for multi-complex of SiO 2, BaO,B 2 O 3 and/or Al 2 O 3. Glass films with every possible combination of composition were fabricated and examined, The glass composition of SiO 2- BaO-B 2 O 3 and/or SiO 2- BaO-Al 2 O 3 was found to play effective roles in maintaining the induced second order nonlinearity for a longer period of time. This is supposed to be related to distributed traps which come from complex of the glass components.

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31

Zhou, Fansen, Yidi Wang, Wei Zheng, Zhao Li, and Xin Wen. "Fast Distributed Multiple-Model Nonlinearity Estimation for Tracking the Non-Cooperative Highly Maneuvering Target." Remote Sensing 14, no. 17 (August 28, 2022): 4239. http://dx.doi.org/10.3390/rs14174239.

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Анотація:

The newly developed near-space vehicle has the characteristics of high speed and strong maneuverability, being able to perform vertical skips and a wide range of lateral maneuvers. Tracking this kind of target with ground-based radars is difficult because of the limited detection range caused by the curvature of the Earth. Compared with ground-based radars, satellite tracking platforms equipped with Synthetic Aperture Radars (SARs) have a wide detection range, and can keep the targets in custody, making them a promising approach to tracking near-space vehicles continuously. However, this approach may not work well, due to the unknown maneuvers of the non-cooperative target, and the limited computing power of the satellites. To enhance tracking stability and accuracy, and to lower the computational burden, we have proposed a Fast Distributed Multiple-Model (FDMM) nonlinearity estimation algorithm for satellites, which adopts a novel distributed multiple-model fusion framework. This approach first requires each satellite to perform local filtering based on its own single model, and the corresponding fusion factor derived by the Wasserstein distance is solved for each local estimate; then, after diffusing the local estimates, each satellite performs multiple-model fusion on the received estimates, based on the minimum weighted Kullback–Leibler divergence; finally, each satellite updates its state estimation according to the consensus protocol. Two simulation experiments revealed that the proposed FDMM algorithm outperformed the other four tracking algorithms: the consensus-based distributed multiple-model UKF; the improved consensus-based distributed multiple-model STUKF; the consensus-based strong-tracking adaptive CKF; and the interactive multiple-model adaptive UKF; the FDMM algorithm had high tracking precision and low computational complexity, showing its effectiveness for satellites tracking the near-space target.

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32

Chen, Shuguo, Weibin Ding, Zhongzheng Xiang, and Yuanyuan Liu. "Distributed Power Trading System Based on Blockchain Technology." Complexity 2021 (May 10, 2021): 1–12. http://dx.doi.org/10.1155/2021/5538195.

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Анотація:

The power trading system has the characteristics of nonlinearity, dynamics, and complexity. Part of the business data in the trading system needs to be exposed to numerous external business systems. The traditional centralized power trading model has some problems, such as low data security and trust crisis of regulators. Blockchain technology provides prominent ideas for solving these problems. Firstly, the improved AdaBoost algorithm is used to predict the supply and demand gap of power trading nodes. Secondly, based on the fact that the information on the blockchain is only open to the power supply side, a two-stage game model of asymmetric information between the power supply side and the power user is constructed to capture the price competition behavior between them in order to find the Nash equilibrium price in two stages. Finally, the US PJM market electricity market data are used to carry out an example analysis to verify the effectiveness of the algorithm and model.

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33

Tan, Mingming, Paweł Rosa, Tu T. Nguyen, Mohammad A. Z. Al-Khateeb, Md Asif Iqbal, Tianhua Xu, Feng Wen, Juan D. Ania-Castañón, and Andrew D. Ellis. "Distributed Raman Amplification for Fiber Nonlinearity Compensation in a Mid-Link Optical Phase Conjugation System." Sensors 22, no. 3 (January 19, 2022): 758. http://dx.doi.org/10.3390/s22030758.

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In this paper, we review different designs of distributed Raman amplifiers which have been proposed to minimize the signal power profile asymmetry in mid-link optical phase conjugation systems. We demonstrate how the symmetrical signal power profiles along the fiber can be achieved using various distributed Raman amplification techniques in the single-span and more realistic multi-span circumstances. In addition, we show the theoretically predicted results of the Kerr nonlinear product reduction with different Raman techniques in mid-link optical phase conjugator systems, and then in-line/long-haul transmission performance using numerical simulations.

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34

Lapa, E. Cabanillas, Z. Huaringa Segura, and F. Leon Barboza. "On the global solvability of solutions to a quasilinear wave equation with localized damping and source terms." Journal of Applied Mathematics 2005, no. 3 (2005): 219–33. http://dx.doi.org/10.1155/jam.2005.219.

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We prove existence and uniform stability of strong solutions to a quasilinear wave equation with a locally distributed nonlinear dissipation with source term of power nonlinearity of the typeu″−M(∫Ω|∇u|2dx)Δu+a(x)g(u′)+f(u)=0,inΩ×]0,+∞[,u=0,onΓ×]0,+∞[,u(x,0)=u0(x),u′(x,0)=u1(x), inΩ.

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35

Zhang, Haoran, Jun Huang, and Siyuan He. "Fractional-Order Interval Observer for Multiagent Nonlinear Systems." Fractal and Fractional 6, no. 7 (June 25, 2022): 355. http://dx.doi.org/10.3390/fractalfract6070355.

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A framework of distributed interval observers is introduced for fractional-order multiagent systems in the presence of nonlinearity. First, a frame was designed to construct the upper and lower bounds of the system state. By using monotone system theory, the positivity of the error dynamics could be ensured, which implies that the bounds could trap the original state. Second, a sufficient condition was applied to guarantee the boundedness of distributed interval observers. Then, an extension of Lyapunov function in the fractional calculus field was the basis of the sufficient condition. An algorithm associated with the procedure of the observer design is also provided. Lastly, a numerical simulation is used to demonstrate the effectiveness of the distributed interval observer.

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36

Sasaki, F., S. Kobayashi, and S. Haraichi. "Enhancement of the optical nonlinearity in pseudoisocyanine J aggregates embedded in distributed feedback microcavities." Applied Physics Letters 81, no. 3 (July 15, 2002): 391–93. http://dx.doi.org/10.1063/1.1493643.

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37

Zolotovskiĭ, I. O., and D. I. Sementsov. "Dynamics of coupled waves in optical waveguides with longitudinally distributed dispersion and nonlinearity parameters." Technical Physics 51, no. 8 (August 2006): 1025–29. http://dx.doi.org/10.1134/s1063784206080111.

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38

Sun, Yanchao, Liangliang Chen, Hongde Qin, and Wenjia Wang. "Distributed finite-time coordinated tracking control for multiple Euler–Lagrange systems with input nonlinearity." Nonlinear Dynamics 95, no. 3 (January 1, 2019): 2395–414. http://dx.doi.org/10.1007/s11071-018-4699-7.

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39

Beven*, K. "How far can we go in distributed hydrological modelling?" Hydrology and Earth System Sciences 5, no. 1 (March 31, 2001): 1–12. http://dx.doi.org/10.5194/hess-5-1-2001.

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Abstract. This paper considers distributed hydrological models in hydrology as an expression of a pragmatic realism. Some of the problems of distributed modelling are discussed including the problem of nonlinearity, the problem of scale, the problem of equifinality, the problem of uniqueness and the problem of uncertainty. A structure for the application of distributed modelling is suggested based on an uncertain or fuzzy landscape space to model space mapping. This is suggested as the basis for an Alternative Blueprint for distributed modelling in the form of an application methodology. This Alternative Blueprint is scientific in that it allows for the formulation of testable hypotheses. It focuses attention on the prior evaluation of models in terms of physical realism and on the value of data in model rejection. Finally, some unresolved questions that distributed modelling must address in the future are outlined, together with a vision for distributed modelling as a means of learning about places.

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40

Man, Dawei, Gaozheng Xu, Huaiming Xu, and Deheng Xu. "Parametric Analysis of Nonlinear Bi-Stable Piezoelectric Energy Harvester Based on Multi-Scale Method." Power Engineering and Engineering Thermophysics 1, no. 1 (October 31, 2022): 19–32. http://dx.doi.org/10.56578/peet010104.

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Given the geometric nonlinearity of the piezoelectric cantilever beam, this study establishes a distributed parameter model of the nonlinear bi-stable cantilever piezoelectric energy harvester, following the generalized Hamilton variational principle. The analytical expressions of the dynamic response were obtained for the energy harvesting system using Galerkin modal decomposition and the multi-scale method. The investigation focuses on how the performance of the energy harvesting system is influenced by the gap distance between magnets, external excited amplitude, mechanical damping ratio and external load resistance. The calculation results were compared with those obtained neglecting the geometric nonlinearity of the beam. The results show that the system responses contain jump and multiple solutions. The consideration of the geometrical nonlinearity significantly amplified the peak displacement and peak output power of the intra-well and inter-well motions. There is an evident hardening effect of the inter-well motion frequency response curve. By reasonable adjusting the parameters, it is possible to improve the output power of the piezoelectric energy harvesting system and broaden the operating frequency of the system.

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41

Choucha, Abdelbaki, Salah Boulaaras, and Asma Alharbi. "Global existence and asymptotic behavior for a viscoelastic Kirchhoff equation with a logarithmic nonlinearity, distributed delay and Balakrishnan-Taylor damping terms." AIMS Mathematics 7, no. 3 (2022): 4517–39. http://dx.doi.org/10.3934/math.2022252.

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<abstract><p>A nonlinear viscoelastic Kirchhoff-type equation with a logarithmic nonlinearity, Balakrishnan-Taylor damping, dispersion and distributed delay terms is studied. We establish the global existence of the solutions of the problem and by the energy method we prove an explicit and general decay rate result under suitable hypothesis.</p></abstract>

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42

Song, Xi, Shi Rong Li, and Yong Gang Zhao. "Buckling Behavior of FGM Elastic Arches Subjected to Uniformly Distributed Radial Follow Load." Advanced Materials Research 239-242 (May 2011): 422–27. http://dx.doi.org/10.4028/www.scientific.net/amr.239-242.422.

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It is assumed that the material properties of arches vary with the thickness direction as a power function. Based on Kirchhoff’s assumption of straight normal line and the theory of axial extension and geometric nonlinearity, the in-plane buckling behavior of FGM elastic arches subjected to uniformly distributed radial follow loads is studied. In this paper, the governing equations for the nonlinear stability of FGM elastic arches are derived, the effect of composition parameters of FGMs, geometric parameters of arches and ends restraints on critical loads and balance configurations is investigated, and corresponding graphs are plotted.

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43

Lei, Yanfang, Junmin Li, and Ailiang Zhao. "Robust piecewise adaptive control for an uncertain semilinear parabolic distributed parameter systems." Nonlinear Analysis: Modelling and Control 27 (January 6, 2022): 1–20. http://dx.doi.org/10.15388/namc.2022.27.25195.

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In this study, we focus on designing a robust piecewise adaptive controller to globally asymptotically stabilize a semilinear parabolic distributed parameter systems (DPSs) with external disturbance, whose nonlinearities are bounded by unknown functions. Firstly, a robust piecewise adaptive control is designed against the unknown nonlinearity and the external disturbance. Then, by constructing an appropriate Lyapunov–Krasovskii functional candidate (LKFC) and using the Wiritinger’s inequality and a variant of the Agmon’s inequality, it is shown that the proposed robust piecewise adaptive controller not only ensures the globally asymptotic stability of the closed-loop system, but also guarantees a given performance. Finally, two simulation examples are given to verify the validity of the design method.

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44

Bošnjak, Mile. "Asymmetric and nonlinear dynamics in trade flows sustainability: Serbia and Romania." Acta Oeconomica 71, no. 1 (March 30, 2021): 161–80. http://dx.doi.org/10.1556/032.2021.00008.

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AbstractThe research examines the sustainability of trade flows for two European post-communist economies: Serbia and Romania. We analysed two nonlinear forms of the relationship between exports and imports that cannot be explained by frequently applied linear model specifications. Newly developed nonlinear autoregressive distributed lag approach revealed the asymmetric and nonlinear long-run equilibrium between Serbian exports and imports. Nonlinearity tests indicated and the SETAR model specification confirmed threshold nonlinearity form in the Serbian trade flows pattern. Serbian trade flows still approach its sustainable equilibrium but the development pattern is promising. The results for Romania revealed another nonlinear form of the relationship between exports and imports, indicating a dependent cointegration. The paper provides robust results and supports the hypothesis that the relationship between exports and imports can be nonlinear and symmetric.

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45

Кюрегян, А. С. "Ударная электромагнитная волна большой амплитуды в нелинейной линии передачи на основе распределенного полупроводникового диода". Журнал технической физики 53, № 4 (2019): 520. http://dx.doi.org/10.21883/ftp.2019.04.47452.8752.

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AbstractThe problem of the formation and propagation of a large-amplitude shock electromagnetic wave in a strip transmission line (TL) based on a distributed semiconductor diode is analytically solved. The solution correctly considers its nonlinearity, dissipation, and time dispersion. The results of the theory are used to estimate the parameters of the TL as a sharpener of the pulse front voltage applied to the line input.

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46

Jones, Ilenna Simone, and Konrad Paul Kording. "Might a Single Neuron Solve Interesting Machine Learning Problems Through Successive Computations on Its Dendritic Tree?" Neural Computation 33, no. 6 (May 13, 2021): 1554–71. http://dx.doi.org/10.1162/neco_a_01390.

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Physiological experiments have highlighted how the dendrites of biological neurons can nonlinearly process distributed synaptic inputs. However, it is unclear how aspects of a dendritic tree, such as its branched morphology or its repetition of presynaptic inputs, determine neural computation beyond this apparent nonlinearity. Here we use a simple model where the dendrite is implemented as a sequence of thresholded linear units. We manipulate the architecture of this model to investigate the impacts of binary branching constraints and repetition of synaptic inputs on neural computation. We find that models with such manipulations can perform well on machine learning tasks, such as Fashion MNIST or Extended MNIST. We find that model performance on these tasks is limited by binary tree branching and dendritic asymmetry and is improved by the repetition of synaptic inputs to different dendritic branches. These computational experiments further neuroscience theory on how different dendritic properties might determine neural computation of clearly defined tasks.

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47

Zhang, Lei, and Xiuying Li. "Distributed H∞ Filtering Over Sensor Networks Subject to Randomly Occurred Nonlinearity and Time-Varying Topology." IEEE Access 8 (2020): 181500–181512. http://dx.doi.org/10.1109/access.2020.3028366.

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48

Dai, Hongwei, Linhua Yao, Hui Cheng, and Junbo Han. "Polarization-Independent Large Third-Order Optical Nonlinearity in Centimeter-Sized Random-Distributed Gold Nanorod Arrays." Journal of Physical Chemistry C 124, no. 31 (July 16, 2020): 17237–43. http://dx.doi.org/10.1021/acs.jpcc.0c04780.

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49

Potapov, D. K. "Optimal control of higher order elliptic distributed systems with a spectral parameter and discontinuous nonlinearity." Journal of Computer and Systems Sciences International 52, no. 2 (March 2013): 180–85. http://dx.doi.org/10.1134/s106423071302010x.

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50

Sateesh, V. L., C. S. Upadhyay, and C. Venkatesan. "Layer-by-Layer Finite Element Analysis of Smart Composite Plates." Advanced Materials Research 47-50 (June 2008): 1011–14. http://dx.doi.org/10.4028/www.scientific.net/amr.47-50.1011.

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Electric field-polarization interaction shows nonlinear effects in the constitutive relations. In this study, an attempt is made to include these interaction effects in the finite element formulation. A layer-by-layer finite element code is developed to handle the linear and nonlinear problems. Linear and nonlinear analysis is carried out for a smart plate with surfacemounted distributed piezo layer. The nonlinearity leads to a significant increase in the transverse deformation.

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