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Journal articles on the topic 'Modelli deterministici'

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Author: Grafiati

Published: 10 March 2023

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1

ÇELİK EROĞLU, Şeyma, and Yusuf ŞAHİN. "Geri Dönüşüm Süreci İçin Yeni Bir Bulanık Envanter Modeli." Deu Muhendislik Fakultesi Fen ve Muhendislik 25, no. 73 (January 26, 2023): 21–36. http://dx.doi.org/10.21205/deufmd.2023257303.

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Kullanım ömrü sona eren ürünlerin çeşitli işlemlerden sonra yeniden kullanılabilir hale getirilmesi çevresel, ekonomik ve sosyal alanlarda insanoğluna birçok fayda sağlar. Çevrenin korunması, hammadde ihtiyacının azalması, kaynakların ekonomik kullanımı ve kirliliğin azaltılması gibi faydaları nedeniyle de geri dönüşüm sektörünün önemi dünya çapında giderek artmaktadır. Bu çalışmada, geri dönüşüm sürecini içeren bulanık bir stok modeli önerilmiştir. İlk olarak, Dobos ve Richter (2003) tarafından geliştirilen sabit talep ve geri dönüş oranlarına sahip genişletilmiş bir üretim/geri dönüşüm modeli atıkların yok edilme süreci ve oluşacak stok düzeyi bakımından yeniden düzenlenmiştir. Ardından talep, marjinal geri alma ve marjinal kullanım oranı parametreleri yamuk bulanık sayı olarak kabul edilip model bulanıklaştırılmıştır. Durulaştırma işlemi için kademeli ortalama entegrasyon temsil yöntemi kullanılmıştır. Böylece birim zamandaki toplam maliyet ve optimal çevrim süresi deterministik değerler olarak ifade edilmiştir. Çözülen problemin sonuçları değerlendirildiğinde, önerilen bulanık stok modelinin temel alınan deterministik stok modeline kıyasla çevrim süresi bakımından daha iyi sonuçlar verdiği gözlemlenmiştir.

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2

Çağlar, Hatice Nazan. "Bitcoin kaotik analizi ve fiyat tahmin modeli önerisi." Journal of Life Economics 9, no. 1 (February 2, 2022): 33–39. http://dx.doi.org/10.15637/jlecon.9.1.03.

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Kaos Teorisi, doğrusal olmayan dinamik sistemlerin davranışlarını tanımlar ve ekonomi alanında pek çok verinin modellenmesinde kullanılır. Kaos teori, sistemin doğrusal olmayan ve deterministik bir süreç olduğu varsayımlarına dayanır. Doğrusal modeller, ekonometrik sistemleri karmaşıklıklarını ortaya çıkarmakta yetersiz kalmaktadır. Bu çalışmanın amacı, Bitcoin günlük fiyatlarının zamana bağlı doğrusal olmayan dinamik bir sistem tarafından üretilip üretilmediğini araştırmak ve sistemin uzun vadede geleceğe yönelik tahmin yeteneğini araştırmak ve bir tahminleme modeli oluşturmaktır. Birçok ekonomik veri serisinin kaotik davranış gösterdiği bilinmektedir. Bu çalışmada, Bitcoin fiyatlarının kaotik yapısı incelenmiş ve regresyon yöntemi kullanılarak tahmin modeli kurulmuştur. Diğer bir ifadeyle amaç, Bitcoin fiyatlarının getirilerinin kaotik bir davranış gösterip göstermediğini ortaya koyarak elde edilen gömme (embedding) boyutuna bağlı olarak regresyon yöntemini kullanarak tahmin modeli oluşturmaktır. Çalışmada, 2021 Şubat – 2021 Kasım döneminde günlük kapanış fiyatı ( $ ) veri olarak kullanılmıştır. (URL-1,2021)

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3

Kanno, Masayasu. "The valuation of stochastic insurance liabilities using a structural model approach." Journal of Financial Engineering 02, no. 01 (March 2015): 1550007. http://dx.doi.org/10.1142/s2345768615500075.

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Liability drives insurers' businesses. This paper examines the structural model approach of credit risk for the valuation of insurance liabilities and insurers' equity, and considers a stochastic process for liability. Grosen and Jørgensen's (2002) study presents the current approach taken by insurers; however, the model's structure is very simple, and its liability structure in particular has a deterministic time function. In contrast, we analyze a model that analytically evaluates an insurer's liability with the stochastic process. Furthermore, we analyze the model's default option originally presented by Myers and Read (2001).

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4

Colonnese, Fabio. "L’Objet Trouvé come modello tra approcci analogici e digitali." EGA Revista de Expresión Gráfica Arquitectónica 25, no. 40 (November 17, 2020): 156. http://dx.doi.org/10.4995/ega.2020.12934.

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<span>Sebbene questa stagione di tecnologie digitali e tecniche di produzione semiautomatica ha condizionato la maggior parte della tradizionale catena di montaggio e gli strumenti del processo di progettazione e rappresentazione, l'uso di found-objects nella modellistica è ancora praticato, rivelato e promosso da architetti e docenti contemporanei. Questo potrebbe essere interpretato come il sintomo di una sorta di resistenza analogica o un modo per introdurre incidenti pianificati e incertezza in un processo di progettazione deterministico e omologante, ma lo scenario è sfaccettato. Questo contributo discute l'uso di found-objects come modelli nella progettazione dell'architettura e nella pratica della comunicazione. In particolare, descrive le loro radici storiche e la loro funzione critica nella ricerca delle avanguardie artistiche, classifica il loro ruolo nelle diverse fasi del processo di progettazione tradizionale e contemporaneo e si concentra su interazioni e differenze degli approcci analogici e digitali, in relazione alle opportunità semantiche della rappresentazione architettonica.</span>

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5

Kardash, Stanislav. "Bewertung der Regelgüte bei komplexen Prozessstörungen." atp magazin 61, no. 4 (March 28, 2019): 80–89. http://dx.doi.org/10.17560/atp.v61i4.2392.

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Die vorgeschlagene Methode ist ein Benchmark-Test bei kombinierter deterministisch-stochastischer Störgröße. Die deterministische Strögrößenkomponente wird mit Hilfe eines geeigneten Modells, z.B. Übertragungsfunktion, beschrieben, wodurch eine Auslegung des H2-optimalen Benchmark-Reglers erfolgt. Die stochastische Störgrößenkomponete wird separat modelliert und der stochastische Anteil des Systemverhaltens wird zusätzlich mit Hilfe der konventionellen Minimum-Varianz-Regelung als Benchmark bewertet. Die Performance des Regelungssystems wird auf Basis der L2-Norm des Ausgangssignals bewertet.

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6

Crabtree, R., H. Garsdal, R. Gent, O. Mark, and J. Dórge. "MOUSETRAP — A DETERMINISTIC SEWER FLOW QUALITY MODEL." Water Science and Technology 30, no. 1 (July 1, 1994): 107–15. http://dx.doi.org/10.2166/wst.1994.0011.

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Recent research into the behaviour of sediments and associated pollutants in sewers has formed the foundation for a dynamic pollutograph-based sewer flow quality simulation model called MOUSETRAP. This is a new component to the MOUSE sewer system hydraulic modelling package. MOUSETRAP has been developed by an international consortium of sewer model developers and users to predict short term variations in sewer flow quality and sediment transport in response to storm events. MOUSETRAP is composed of a series of modules to represent: the quality of surface run off; sediment and pollutant transport, erosion and deposition within pipes; and the biological and chemical processes within the sewer system. By representing the current understanding of real sewer sediments, this new tool gives the user the capability to simulate storm event pollutographs incorporating first foul flush phenomena. The paper describes the basis of the new MOUSETRAP modules. Results of initial theoretical testing and pilot study applications are presented to illustrate the model's capabilities and potential for use in the management of urban wastewater discharges.

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7

Kleijwegt, Rob A. "On the Prediction of Sediment Transport in Sewers with Deposits." Water Science and Technology 27, no. 5-6 (March 1, 1993): 69–80. http://dx.doi.org/10.2166/wst.1993.0487.

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There is a need for models to predict the negative effects of sewer deposits in order to improve design, maintenance and operation of sewerage systems. The lack of success of deterministic sewer sediment models in the past is caused by a lack of basic knowledge, which causes unknown uncertainties in the model's results. The basic knowledge about non-cohesive sediment transport has been studied with laboratory experiments. This has resulted in an understanding of the non-cohesive sewer sediment transport and the related subjects of bed shear stress, incipient motion, bed forms and flow resistance. This understanding can be used in the development of deterministic models for sewer systems. However, the next objective will be to develop probabilistic models.

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8

Tyran-Kamińska, M. "Diffusion and Deterministic Systems." Mathematical Modelling of Natural Phenomena 9, no. 1 (2014): 139–50. http://dx.doi.org/10.1051/mmnp/20149110.

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9

Wood, R. Kevin. "Deterministic network interdiction." Mathematical and Computer Modelling 17, no. 2 (January 1993): 1–18. http://dx.doi.org/10.1016/0895-7177(93)90236-r.

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10

Lee, Heeyoung, Angel Chang, Yves Peirsman, Nathanael Chambers, Mihai Surdeanu, and Dan Jurafsky. "Deterministic Coreference Resolution Based on Entity-Centric, Precision-Ranked Rules." Computational Linguistics 39, no. 4 (December 2013): 885–916. http://dx.doi.org/10.1162/coli_a_00152.

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We propose a new deterministic approach to coreference resolution that combines the global information and precise features of modern machine-learning models with the transparency and modularity of deterministic, rule-based systems. Our sieve architecture applies a battery of deterministic coreference models one at a time from highest to lowest precision, where each model builds on the previous model's cluster output. The two stages of our sieve-based architecture, a mention detection stage that heavily favors recall, followed by coreference sieves that are precision-oriented, offer a powerful way to achieve both high precision and high recall. Further, our approach makes use of global information through an entity-centric model that encourages the sharing of features across all mentions that point to the same real-world entity. Despite its simplicity, our approach gives state-of-the-art performance on several corpora and genres, and has also been incorporated into hybrid state-of-the-art coreference systems for Chinese and Arabic. Our system thus offers a new paradigm for combining knowledge in rule-based systems that has implications throughout computational linguistics.

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11

Kondrashov, D., S. Kravtsov, and M. Ghil. "Empirical Mode Reduction in a Model of Extratropical Low-Frequency Variability." Journal of the Atmospheric Sciences 63, no. 7 (July 1, 2006): 1859–77. http://dx.doi.org/10.1175/jas3719.1.

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Abstract This paper constructs and analyzes a reduced nonlinear stochastic model of extratropical low-frequency variability. To do so, it applies multilevel quadratic regression to the output of a long simulation of a global baroclinic, quasigeostrophic, three-level (QG3) model with topography; the model's phase space has a dimension of O(104). The reduced model has 45 variables and captures well the non-Gaussian features of the QG3 model's probability density function (PDF). In particular, the reduced model's PDF shares with the QG3 model its four anomalously persistent flow patterns, which correspond to opposite phases of the Arctic Oscillation and the North Atlantic Oscillation, as well as the Markov chain of transitions between these regimes. In addition, multichannel singular spectrum analysis identifies intraseasonal oscillations with a period of 35–37 days and of 20 days in the data generated by both the QG3 model and its low-dimensional analog. An analytical and numerical study of the reduced model starts with the fixed points and oscillatory eigenmodes of the model's deterministic part and uses systematically an increasing noise parameter to connect these with the behavior of the full, stochastically forced model version. The results of this study point to the origin of the QG3 model's multiple regimes and intraseasonal oscillations and identify the connections between the two types of behavior.

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12

Kazantsev, E. "Sensitivity of the attractor of the barotropic ocean model to external influences: approach by unstable periodic orbits." Nonlinear Processes in Geophysics 8, no. 4/5 (October 31, 2001): 281–300. http://dx.doi.org/10.5194/npg-8-281-2001.

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Abstract. A description of a deterministic chaotic system in terms of unstable periodic orbits (UPO) is used to develop a method of an a priori estimate of the sensitivity of statistical averages of the solution to small external influences. This method allows us to determine the forcing perturbation which maximizes the norm of the perturbation of a statistical moment of the solution on the attractor. The method was applied to the barotropic ocean model in order to determine the perturbation of the wind field which provides the greatest perturbation of the model's climate. The estimates of perturbations of the model's time mean solution and its mean variance were compared with directly calculated values. The comparison shows that some 20 UPOs is sufficient to realize this approach and to obtain a good accuracy.

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13

VIANA, R. L., S. E. DE S. PINTO, J. R. R. BARBOSA, and C. GREBOGI. "PSEUDO-DETERMINISTIC CHAOTIC SYSTEMS." International Journal of Bifurcation and Chaos 13, no. 11 (November 2003): 3235–53. http://dx.doi.org/10.1142/s0218127403008636.

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We call a chaotic dynamical system pseudo-deterministic when it does not produce numerical, or pseudo-trajectories that stay close, or shadow chaotic true trajectories, even though the model equations are strictly deterministic. In this case, single chaotic trajectories may not be meaningful, and only statistical predictions, at best, could be drawn on the model, like in a stochastic system. The dynamical reason for this behavior is nonhyperbolicity characterized either by tangencies of stable and unstable manifolds or by the presence of periodic orbits embedded in a chaotic invariant set with a different number of unstable directions. We emphasize herewith the latter by studying a low-dimensional discrete-time model in which the phenomenon appears due to a saddle-repeller bifurcation. We also investigate the behavior of the finite-time Lyapunov exponents for the system, which quantifies this type of nonhyperbolicity as a system parameter evolves past a critical value. We argue that the effect of unstable dimension variability is more intense when the invariant chaotic set of the system loses transversal stability through a blowout bifurcation.

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14

PUENTE, CARLOS E. "DETERMINISTIC FRACTAL GEOMETRY AND PROBABILITY." International Journal of Bifurcation and Chaos 04, no. 06 (December 1994): 1613–29. http://dx.doi.org/10.1142/s0218127494001222.

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15

Krone, S. M. "Spatial models: stochastic and deterministic." Mathematical and Computer Modelling 40, no. 3-4 (August 2004): 393–409. http://dx.doi.org/10.1016/j.mcm.2003.09.037.

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16

Zhou, Fuli, and Yandong He. "Pallet Scheduling Models Under Deterministic and Non-Deterministic Scenarios Using a Hybrid GA Method." International Journal of Decision Support System Technology 13, no. 2 (April 2021): 1–15. http://dx.doi.org/10.4018/ijdsst.2021040101.

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This study examines the pallet scheduling problem considering random demands under the novel pallet operation mechanism by resources sharing among the pallet sharing system. Two nonlinear integer pallet scheduling models under deterministic and non-deterministic environment are formulated in terms of the pallet demand variable. To solve the pallet programming model, the hybrid genetic algorithm (HGA) integrating local search strategy is designed to derive the optimal pallet scheduling solution. Besides, the fixed sample size sampling strategy is employed to deal with the uncertain demand during the non-deterministic programming model, realized by the Monte Carlo simulation. The two models can assist decision makers arrange a scientific pallet scheduling solution under deterministic and non-deterministic atmosphere. Finally, the numerical case is implemented to testify the effectiveness of the two models and efficiency of the hybrid algorithms.

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17

H. Andrew, Lachlan, Stephen Hanly, Sammy Chan, and Tony Cui. "Adaptive Deterministic Packet Marking." IEEE Communications Letters 10, no. 11 (November 2006): 790–92. http://dx.doi.org/10.1109/lcomm.2006.060898.

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18

KOTELENEZ, PETER M. "FROM DISCRETE DETERMINISTIC DYNAMICS TO BROWNIAN MOTIONS." Stochastics and Dynamics 05, no. 03 (September 2005): 343–84. http://dx.doi.org/10.1142/s0219493705001511.

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Two types of point particles, large and small, with state space ℝd are considered, where d ≥ 2 and "large" and "small" refer to different masses. The small particles move deterministically with very large initial velocities. They transfer their momenta to the large particles through a smooth mean field interaction which completely determines the motion of the large particles. The joint dynamics is described in a spacetime lattice by an Euler scheme for coupled oscillators with a friction term for the large particles. This lattice defines the mesoscale for the system. A scaling limit leads to a replacement of the mesoscale by the macroscale as follows: The very large initial velocities are assumed to be independent and they let a small particle interact with a large particle only for a short time, after which the particle escapes to infinity and new particles start interacting with the large particles. Thus, the initial spatial independence of the small particles causes independence in the time increments of the velocities of the large particles. Therefore, as the friction of the large particles and the speed of the small particles tend to infinity in this scaling limit, the positions of the large particles become the positions of spatially correlated Brownian motions whose correlations can be computed from the interaction force. A similar result holds for a system without friction, where the velocities of the large particles become spatially correlated Brownian motions.

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19

Barrière, L., F. Comellas, C. Dalfó, and M. A. Fiol. "Deterministic hierarchical networks." Journal of Physics A: Mathematical and Theoretical 49, no. 22 (May 3, 2016): 225202. http://dx.doi.org/10.1088/1751-8113/49/22/225202.

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20

Steinhorst, R. K., P. Morgan, and L. F. Neuenschwander. "A stochastic-deterministic simulation model of shrub succession." Ecological Modelling 29, no. 1-4 (September 1985): 35–55. http://dx.doi.org/10.1016/0304-3800(85)90046-8.

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21

Browne, B., J. Duchassaing, and F. Suter. "Longevity: A ‘Simple’ Stochastic Modelling of Mortality." British Actuarial Journal 15, S1 (2009): 249–65. http://dx.doi.org/10.1017/s1357321700005596.

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ABSTRACTAll UK insurers exposed to longevity risk need to perform stress tests for their Individual Capital Assessment (ICA). Some have put in place deterministic models which are arguably too simple; others have developed stochastic models that can be demanding and complex.This paper presents a simple model to turn any deterministic mortality scenario into a stochastic model. We propose a simple model of stochastic variation that is easy to explain and to implement, which could be an alternative to and/or complete some of the well known models. The model can be applied to any best estimates of future mortality rates, as it aims to describe how longevity behaves around the projected expected values.The paper proposes a possible calibration on the England and Wales population mortality that produces a minimum indication of possible future variation and uses the results to validate the model's assumptions. Using sample portfolios and the stochastic model, we can simulate cash flows to determine the distribution of the net present values (NPV) of annuity outgo.

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22

Dong, Xunde, Chen Song, and Cong Wang. "Spiral Tip Identification via Deterministic Learning." International Journal of Bifurcation and Chaos 29, no. 03 (March 2019): 1950040. http://dx.doi.org/10.1142/s0218127419500408.

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A spiral tip can be considered as a wave source, i.e. a wave is sent out after the tip rotates one circle. Therefore, the dynamics of the spiral tip is vital to understand the behavior of spiral waves. In this paper, we study the spiral tip dynamics from a new perspective by using deterministic learning. A Barkley model described by partial differential equations (PDEs) is employed to illustrate the method. It is first transformed into a set of ordinary differential equations (ODEs) by using finite difference method. Then, the position states of spiral tip are extracted from the spiral wave generated by the transformed Barkley model by using an isocontour method. Finally, with the recurrent trajectory of spiral tip, its dynamics is accurately identified by using the deterministic learning theory. It is shown that the dynamics underlying the periodic or recurrent trajectory of spiral tips can be accurately identified by using the proposed approach. Numerical experiments are included to demonstrate the effectiveness and feasibility of the proposed method.

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Song, Chen, Xunde Dong, and Cong Wang. "Spiral Tip Recognition via Deterministic Learning." International Journal of Bifurcation and Chaos 30, no. 06 (May 2020): 2050093. http://dx.doi.org/10.1142/s0218127420500935.

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The spiral tip is vital to the understanding of the spiral wave behaviors. Most studies of spiral tip dynamics focused on the prevention, control, and elimination of spiral wave, while few studies focused on the recognition of spiral wave. In real systems with the spiral wave, the recognition of the spiral wave should be before control or elimination. In the paper, we study the recognition of the spiral tip via deterministic learning. It mainly consists of two phases: the identification phase and the recognition phase. In the identification phase, the dynamics of spiral tips of the training set is accurately identified by using deterministic learning. In the recognition phase, a set of errors is obtained for a test spiral tip by employing an estimator model. Finally, the recognition of test spiral tip is achieved according to the smallest error principle. Numerical simulations based on the spiral tip generated by the Barkley model are performed to demonstrate the effectiveness and feasibility of the proposed method.

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24

Lindemann, Christoph, and Gerald S. Shedler. "Numerical analysis of deterministic and stochastic Petri nets with concurrent deterministic transitions." Performance Evaluation 27-28 (October 1996): 565–82. http://dx.doi.org/10.1016/s0166-5316(96)90046-2.

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25

Lindemann, Christoph, and Axel Thümmler. "Transient analysis of deterministic and stochastic Petri nets with concurrent deterministic transitions." Performance Evaluation 36-37 (August 1999): 35–54. http://dx.doi.org/10.1016/s0166-5316(99)00020-6.

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26

JI, CHUNYAN, and DAQING JIANG. "ANALYSIS OF A PREDATOR–PREY MODEL WITH DISEASE IN THE PREY." International Journal of Biomathematics 06, no. 03 (May 2013): 1350012. http://dx.doi.org/10.1142/s1793524513500125.

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In this paper, we discuss the behavior of a predator–prey model with disease in the prey with and without stochastic perturbation, respectively. First, we briefly give the dynamic of the deterministic system, by analyzing stabilities of its four equilibria. Then, we consider the asymptotic behavior of the stochastic system. By Lyapunov analysis methods, we show the stochastic stability and its long time behavior around the equilibrium of the deterministic system. We obtain there are similar properties between the stochastic system and its corresponding deterministic system, when white noise is small. But large white noise can make a unstable deterministic system to be stable.

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Kim, Seunghwan, Seon Hee Park, and Chang Su Ryu. "Bifurcation of Locked States in Stochastic Systems." International Journal of Bifurcation and Chaos 08, no. 03 (March 1998): 591–95. http://dx.doi.org/10.1142/s0218127498000383.

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A stochastic system with a vanishing diffusion at deterministic fixed points is analytically studied. Above the critical noise intensity, the noise stabilizes the deterministic unstable fixed points. The system is locked at one of the deterministic stable or unstable fixed points with probabilities which depend on the noise intensity and an initial condition. An example is studied numerically showing the bifurcation of locked states.

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Hirooka, H., A. F. Groen, and J. Hillers. "Developing breeding objectives for beef cattle production 1. A bio-economic simulation model." Animal Science 66, no. 3 (June 1998): 607–21. http://dx.doi.org/10.1017/s1357729800009188.

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AbstractA deterministic simulation model was constructed to develop breeding objectives and estimate biological and economic values. The model simulates life-cycle production of a breeding cow and growth performance of her offspring. Input variables are divided into four categories: animal traits, nutritional variables, management variables and economic variables. The economic variables assume typical beef cattle production in Japan. The outputs from the model include cow-calf performance, feedlot performance and biological and economic efficiency. The model's ability to simulate herd composition, food intake of cow and calves, cow body-weight changes, empty body and carcass composition of feedlot animals and production efficiencies is illustrated.

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Borcea, L., F. González del Cueto, G. Papanicolaou, and C. Tsogka. "Filtering Deterministic Layer Effects in Imaging." Multiscale Modeling & Simulation 7, no. 3 (January 2009): 1267–301. http://dx.doi.org/10.1137/080731529.

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30

Phan, Tuan Anh, Jianjun Paul Tian, and Bixiang Wang. "Dynamics of cholera epidemic models in fluctuating environments." Stochastics and Dynamics 21, no. 02 (June 5, 2020): 2150011. http://dx.doi.org/10.1142/s0219493721500118.

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Based on our deterministic models for cholera epidemics, we propose a stochastic model for cholera epidemics to incorporate environmental fluctuations which is a nonlinear system of Itô stochastic differential equations. We conduct an asymptotical analysis of dynamical behaviors for the model. The basic stochastic reproduction value [Formula: see text] is defined in terms of the basic reproduction number [Formula: see text] for the corresponding deterministic model and noise intensities. The basic stochastic reproduction value determines the dynamical patterns of the stochastic model. When [Formula: see text], the cholera infection will extinct within finite periods of time almost surely. When [Formula: see text], the cholera infection will persist most of time, and there exists a unique stationary ergodic distribution to which all solutions of the stochastic model will approach almost surely as noise intensities are bounded. When the basic reproduction number [Formula: see text] for the corresponding deterministic model is greater than 1, and the noise intensities are large enough such that [Formula: see text], the cholera infection is suppressed by environmental noises. We carry out numerical simulations to illustrate our analysis, and to compare with the corresponding deterministic model. Biological implications are pointed out.

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31

Upadhyay, Ranjit Kumar, Malay Banerjee, Rana Parshad, and Sharada Nandan Raw. "DETERMINISTIC CHAOS VERSUS STOCHASTIC OSCILLATION IN A PREY-PREDATOR-TOP PREDATOR MODEL." Mathematical Modelling and Analysis 16, no. 3 (August 24, 2011): 343–64. http://dx.doi.org/10.3846/13926292.2011.601767.

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The main objective of the present paper is to consider the dynamical analysis of a three dimensional prey-predator model within deterministic environment and the influence of environmental driving forces on the dynamics of the model system. For the deterministic model we have obtained the local asymptotic stability criteria of various equilibrium points and derived the condition for the existence of small amplitude periodic solution bifurcating from interior equilibrium point through Hopf bifurcation. We have obtained the parametric domain within which the model system exhibit chaotic oscillation and determined the route to chaos. Finally, we have shown that chaotic oscillation disappears in presence of environmental driving forces which actually affect the deterministic growth rates. These driving forces are unable to drive the system from a regime of deterministic chaos towards a stochastically stable situation. The stochastic stability results are discussed in terms of the stability of first and second order moments. Exhaustive numerical simulations are carried out to validate the analytical findings.

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32

Bischof, Norbert. "Das Paradox des Jetzt." Psychologische Rundschau 56, no. 1 (January 2005): 36–42. http://dx.doi.org/10.1026/0033-3042.56.1.36.

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Zusammenfassung. Die Frage nach der Willensfreiheit ist Teil des Leib-Seele-Problems. Sie stellt sich insbesondere, wenn wir die psychophysische Relation als isomorphe Parallelität zweier Aspekte derselben Prozeßmannigfaltigkeit begreifen. Hier scheint die Idee einer geschlossenen Naturkausalität der Entscheidungsfreiheit keinen Raum zu lassen. Allerdings ist zu berücksichtigen, dass das Weltbild der nachklassischen Physik nicht mehr uneingeschränkt deterministisch ist. Vor allem aber enthält es bisher eine Erklärungslücke bezüglich der Frage, warum physische Prozesse überhaupt von Bewusstseinserscheinungen begleitet sind. Noch gravierender ist der bisher nicht ausgeräumte Zweifel, ob sich das parallelistische Modell überhaupt konsistent formulieren läßt. Es ist noch nicht entschieden, ob sich die phänomenale Singularität des “Jetzt“ auf die materielle Wirklichkeit umkehrbar eindeutig abbilden läßt, bzw. genereller, ob eine Formulierung des Isomorphieprinzips möglich ist, die eine naive Gleichsetzung physikalischer und phänomenaler Zeit vermeidet.

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Huang, Scott C. H., Cheng-Shang Chang, and Cheng-Yu Chen. "Nonadaptive Deterministic Asynchronous Conflict Resolution." IEEE Communications Letters 22, no. 6 (June 2018): 1168–71. http://dx.doi.org/10.1109/lcomm.2018.2822737.

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Krasovskii, N. N. "Deterministic strategy and stochastic programs." Journal of Applied Mathematics and Mechanics 49, no. 2 (January 1985): 135–43. http://dx.doi.org/10.1016/0021-8928(85)90092-9.

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35

Gidea, Marian, Claudia Gidea, and William Byrd. "Deterministic models for simulating electrocardiographic signals." Communications in Nonlinear Science and Numerical Simulation 16, no. 10 (October 2011): 3871–80. http://dx.doi.org/10.1016/j.cnsns.2011.01.022.

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Arcaute, Esteban, Ning Chen, Ravi Kumar, David Liben-Nowell, Mohammad Mahdian, Hamid Nazerzadeh, and Ying Xu. "Deterministic Decentralized Search in Random Graphs." Internet Mathematics 5, no. 1-2 (January 2008): 141–54. http://dx.doi.org/10.1080/15427951.2008.10129298.

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Pal, Suryakanta, Sudhakar Sahoo, and Birendra Kumar Nayak. "Deterministic Computing Techniques for Perfect Density Classification." International Journal of Bifurcation and Chaos 29, no. 05 (May 2019): 1950064. http://dx.doi.org/10.1142/s0218127419500640.

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The aim of this paper is to solve the density classification task (DCT), an extensively studied classical problem, using one-dimensional nonuniform Cellular Automata (CA) rules. A perfect solution of DCT requires searching for CA rules for binary strings of all possible lengths. But the generic problem is still open though the solution exists only for a specific fixed length CA. This paper provides two fundamental ideas to solve this problem in a better way. The first technique solves this problem using deterministic Turing machines which ultimately leads to generation of different CA rules under periodic boundary conditions. In the second technique, the existence of DCT solution by analyzing the state transition diagrams (STDs) of number conserving CA rules is investigated. The possibility of finding the exact solutions of DCT using Turing machine, STD and number conservation property of CA rules can be viewed as an improvement over the approximate solutions obtained by evolutionary techniques.

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FUSSY, SIEGFRIED, GERHARD GRÖSSING, and HERBERT SCHWABL. "FRACTAL EVOLUTION IN DETERMINISTIC AND RANDOM MODELS." International Journal of Bifurcation and Chaos 06, no. 11 (November 1996): 1977–95. http://dx.doi.org/10.1142/s0218127496001284.

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One-dimensional coupled map lattices or quantum cellular automata with any additionally implemented temporal feedback operations (involving some memory of the system’s states) and a normalization procedure after each time step exhibit a universal dynamic property called fractal evolution [Fussy & Grössing, 1994]. It is characterized by a power-law behavior of a system’s order parameter with regard to a resolution-like parameter which controls the deviation from an undisturbed (i.e., feedback-less) system’s evolution and provides a dynamically invariant measure for the emerging spatiotemporal patterns. By comparison with another, simpler model without memory, where the patterns are generated randomly, the underlying principles of fractal evolution are studied. It is shown that our system evolving entirely deterministically, exhibits properties occurring usually only in random models, where the global measures, up to a certain degree, are calculable. Other properties like the fractal evolution exponent remain in general computationally irreducible due to the self-referential feedback dynamics. A specific model with an approximate estimation of the fractal evolution exponent is discussed. The stability of fractal evolution with respect to the dependence of pattern formation on the systems variables is also analyzed.

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NIETHAMMER, B., and J. J. L. VELÁZQUEZ. "HOMOGENIZATION IN COARSENING SYSTEMS I: DETERMINISTIC CASE." Mathematical Models and Methods in Applied Sciences 14, no. 08 (August 2004): 1211–33. http://dx.doi.org/10.1142/s021820250400360x.

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We study the homogenization limit of the Mullins–Sekerka problem which serves as a model for late-stage coarsening in a phase transformation. We consider the case that the screening length which describes the effective range of particle interactions is much smaller than the system size, which leads to homogenization problems in unbounded domains. The present paper deals with deterministic initial particle distributions which are in an average sense homogeneously distributed. Stochastic particle distributions will be considered in a second paper (Part II).

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Leuenberger, Michael, Joana Parente, Marj Tonini, Mário Gonzalez Pereira, and Mikhail Kanevski. "Wildfire susceptibility mapping: Deterministic vs. stochastic approaches." Environmental Modelling & Software 101 (March 2018): 194–203. http://dx.doi.org/10.1016/j.envsoft.2017.12.019.

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CARMONA, S. C., and M. I. FREIDLIN. "ON LOGARITHMIC ASYMPTOTICS OF STOCHASTIC RESONANCE FREQUENCIES." Stochastics and Dynamics 03, no. 01 (March 2003): 55–71. http://dx.doi.org/10.1142/s0219493703000607.

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Stochastic resonance effects due to arbitrarily small amplitude deterministic perturbations in dynamical systems with noise are studied. The concept of Log-Asymptotic Resonance Frequency is introduced and the relationship between its existence and some types of symmetries in the stochastic system is established; the spectrum of this kind of frequencies is determined. These symmetries are defined through the quasi-deterministic approximation of the system. The large deviation theory gives the basic machinery for this analysis.

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Xiong, Wei, David Jagerman, and Tayfur Altiok. "queue with deterministic reneging times." Performance Evaluation 65, no. 3-4 (March 2008): 308–16. http://dx.doi.org/10.1016/j.peva.2007.07.003.

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Zevika, Mona, Anita Triska, Nuning Nuraini, and Glenn Lahodny Jr. "On The Study of Covid-19 Transmission Using Deterministic and Stochastic Models with Vaccination Treatment and Quarantine." Communication in Biomathematical Sciences 5, no. 1 (April 15, 2022): 1–19. http://dx.doi.org/10.5614/cbms.2022.5.1.1.

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In this study, we propose deterministic and stochastic models of the spread of Covid-19 with vaccination and quarantine programs. The model considers the facts that vaccines do not provide full protection, the efficacy of current vaccines only lasts for a limited time, and recovered people could be reinfected. The routine analysis was carried out for the deterministic model, including calculating an expression for the basic reproduction number. The stochastic formulation makes use of a Continuous-Time Markov Chain (CTMC) model. The basic reproduction number from the deterministic model relates to the stochastic model's analysis in producing a formula for the probability of extinction of Covid-19. Furthermore, numerical simulations are carried out to analyze the sensitivity of the dynamical states and the basic reproduction number to the model parameters. An expression for the probability of disease extinction in terms of the model parameters and initial conditions is given. The results of this study suggest that current conditions in Indonesia will lead to a longterm Covid-19 epidemic. One of the efforts to overcome the Covid-19 epidemic is by increasing the provision of vaccines to the susceptible population. However, the number of vaccinated people in the population is not always an ideal control for dealing with the spread of the disease. The vaccine efficacy is also important to reduce the infection. As long as the efficacy is not sufficient to give a good protection to the human population and it lasts only for a short period of time, quarantine is still needed.

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Tan, Matthias Hwai Yong. "Monotonic Metamodels for Deterministic Computer Experiments." Technometrics 59, no. 1 (January 2, 2017): 1–10. http://dx.doi.org/10.1080/00401706.2015.1105759.

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Lin, Yiqing, and Abdoulaye Soumana Hima. "Reflected stochastic differential equations driven by G-Brownian motion in non-convex domains." Stochastics and Dynamics 19, no. 03 (May 30, 2019): 1950025. http://dx.doi.org/10.1142/s0219493719500254.

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In this paper, we first review the penalization method for solving deterministic Skorokhod problems in non-convex domains and establish estimates for problems with [Formula: see text]-Hölder continuous functions. With the help of these results obtained previously for deterministic problems, we pathwisely define the reflected [Formula: see text]-Brownian motion and prove its existence and uniqueness in a Banach space. Finally, multi-dimensional reflected stochastic differential equations driven by [Formula: see text]-Brownian motion are investigated via a fixed-point argument.

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Cantarella, Giulio E., and Chiara Fiori. "Day-to-Day Dynamic Multivehicle Assignment: Deterministic Process Models." Discrete Dynamics in Nature and Society 2021 (March 25, 2021): 1–16. http://dx.doi.org/10.1155/2021/6653905.

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In the near future, transportation systems modelers and planners will likely be challenged by more complex scenarios. This is due to the different types of vehicles that include different (i) powertrains (conventional, hybrid, electric, etc.), (ii) ownerships (privately-owned vs. shared vehicles), and (iii) levels of automation (from human-driven to fully autonomous). All these different vehicle types compete for the same arcs and jointly participate to congestion. Thus, existing methods for travel demand assignment to a transportation network, the main tools for transportation systems analysis to support transportation project assessment and evaluation, need to be extended to cope with mixed traffic. In this paper, deterministic process models for day-to-day dynamic multivehicle assignment are presented, including fixed-point models for equilibrium assignment as a special case. Vehicle types may be distinguished with respect to several parameters, such as flow equivalence coefficient, occupancy factor, cost equivalence coefficient, and behavioral parameters. Results of an application to a toy network are also discussed showing that advanced vehicles (AVs) may or may not have a positive effect of equilibrium stability.

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Christiansen, Marcus, and Mogens Steffensen. "Deterministic mean-variance-optimal consumption and investment." Stochastics 85, no. 4 (June 18, 2013): 620–36. http://dx.doi.org/10.1080/17442508.2013.801972.

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Verms, D. "Optimal control of piecewise deterministic markov process." Stochastics 14, no. 3 (February 1985): 165–207. http://dx.doi.org/10.1080/17442508508833338.

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Dobrescu, L. I., M. Neamţu, A. L. Ciurdariu, and D. Opriş. "A Dynamic Economic Model with Discrete Time and Consumer Sentiment." Discrete Dynamics in Nature and Society 2009 (2009): 1–18. http://dx.doi.org/10.1155/2009/509561.

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The paper describes a dynamical economic model with discrete time and consumer sentiment in the deterministic and stochastic cases. We seek to demonstrate that consumer sentiment may create fluctuations in the economical activities. The model possesses a flip bifurcation and a Neimark-Sacker bifurcation, after which the stable state is replaced by a (quasi) periodic motion. We associate the difference stochastic equation to the model by randomizing the control parameterdand by adding one stochastic control. Numerical simulations are made for the deterministic and stochastic models, for different values of the control parameterd.

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NICOLIS, G., V. BALAKRISHNAN, and C. NICOLIS. "PROBABILISTIC ASPECTS OF EXTREME EVENTS GENERATED BY PERIODIC AND QUASIPERIODIC DETERMINISTIC DYNAMICS." Stochastics and Dynamics 08, no. 01 (March 2008): 115–25. http://dx.doi.org/10.1142/s0219493708002251.

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We consider the distribution of the maximum for finite, deterministic, periodic and quasiperiodic sequences, and contrast the extreme value distributions in these cases with the classical results for iidrv's. A significant feature in the case of deterministic sequences is a multi-step structure for the distribution function. The extreme value distribution for the circle map with an irrational parameter is obtained in closed form with the help of the three-gap theorem for the map Xj+1 = (Xj + a) mod 1 where a ∈ (0,1) is an irrational number.

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