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Journal articles on the topic 'Discrete-time dynamical systems'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Kloeden, P. E. "Synchronization of Discrete Time Dynamical Systems†." Journal of Difference Equations and Applications 10, no. 13-15 (2004): 1133–38. http://dx.doi.org/10.1080/10236190410001652775.

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2

Huang, Wen, Hong Qian, Shirou Wang, Felix X. F. Ye, and Yingfei Yi. "Synchronization in Discrete-Time, Discrete-State Random Dynamical Systems." SIAM Journal on Applied Dynamical Systems 19, no. 1 (2020): 233–51. http://dx.doi.org/10.1137/19m1244883.

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3

Siegmund, Stefan, and Petr Stehlík. "Time scale-induced asynchronous discrete dynamical systems." Discrete & Continuous Dynamical Systems - B 22, no. 11 (2017): 0. http://dx.doi.org/10.3934/dcdsb.2020151.

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4

Jiang, J. F. "Sublinear discrete-time order-preserving dynamical systems." Mathematical Proceedings of the Cambridge Philosophical Society 119, no. 3 (1996): 561–74. http://dx.doi.org/10.1017/s0305004100074417.

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AbstractSuppose that the continuous mapping is order-preserving and sublinear. If every positive semi-orbit has compact closure, then every positive semi-orbit converges to a fixed point. This result does not require that the order be strongly preserved.

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5

Fridrich, Jiri. "Discrete-time dynamical systems under observational uncertainty." Applied Mathematics and Computation 82, no. 2-3 (1997): 181–205. http://dx.doi.org/10.1016/s0096-3003(96)00029-x.

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6

Sogo, Kiyoshi, and Toshiaki Uno. "Symplectic Property of Discrete-Time Dynamical Systems." Journal of the Physical Society of Japan 80, no. 12 (2011): 124002. http://dx.doi.org/10.1143/jpsj.80.124002.

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7

Bihun, Oksana, and Francesco Calogero. "Generations of solvable discrete-time dynamical systems." Journal of Mathematical Physics 58, no. 5 (2017): 052701. http://dx.doi.org/10.1063/1.4982959.

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8

Shi, Yuming, and Guanrong Chen. "Chaos of time-varying discrete dynamical systems." Journal of Difference Equations and Applications 15, no. 5 (2009): 429–49. http://dx.doi.org/10.1080/10236190802020879.

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9

Fliess, Michel. "Invertibility of causal discrete time dynamical systems." Journal of Pure and Applied Algebra 86, no. 2 (1993): 173–79. http://dx.doi.org/10.1016/0022-4049(93)90101-x.

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10

BOYARSKY, ABRAHAM, and PAWEŁ GÓRA. "CHAOS OF DYNAMICAL SYSTEMS ON GENERAL TIME DOMAINS." International Journal of Bifurcation and Chaos 19, no. 11 (2009): 3829–32. http://dx.doi.org/10.1142/s0218127409025158.

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We consider dynamical systems on time domains that alternate between continuous time intervals and discrete time intervals. The dynamics on the continuous portions may represent species growth when there is population overlap and are governed by differential or partial differential equations. The dynamics across the discrete time intervals are governed by a chaotic map and may represent population growth which is seasonal. We study the long term dynamics of this combined system. We study various conditions on the continuous time dynamics and discrete time dynamics that produce chaos and altern

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11

Oprocha, Piotr. "Chain recurrence in multidimensional time discrete dynamical systems." Discrete & Continuous Dynamical Systems - A 20, no. 4 (2008): 1039–56. http://dx.doi.org/10.3934/dcds.2008.20.1039.

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12

Wang, Lidong, Yingnan Li, Yuelin Gao, and Heng Liu. "Distributional chaos of time-varying discrete dynamical systems." Annales Polonici Mathematici 107, no. 1 (2013): 49–57. http://dx.doi.org/10.4064/ap107-1-3.

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13

Kiers, Claire. "Rate-Induced Tipping in Discrete-Time Dynamical Systems." SIAM Journal on Applied Dynamical Systems 19, no. 2 (2020): 1200–1224. http://dx.doi.org/10.1137/19m1276297.

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14

Han, Xiaoguang. "Formal Methods for Discrete-Time Dynamical Systems [Bookshelf]." IEEE Control Systems 38, no. 6 (2018): 116–18. http://dx.doi.org/10.1109/mcs.2018.2866657.

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15

Guillot, Philippe, and Gilles Millerioux. "Flatness and Submersivity of Discrete-Time Dynamical Systems." IEEE Control Systems Letters 4, no. 2 (2020): 337–42. http://dx.doi.org/10.1109/lcsys.2019.2926374.

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16

Nersesov, Sergey G., Venkatesh Deshmukh, and Masood Ghasemi. "Output reversibility in linear discrete-time dynamical systems." Journal of the Franklin Institute 351, no. 9 (2014): 4479–94. http://dx.doi.org/10.1016/j.jfranklin.2014.06.007.

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17

Xie, Lihua, C. E. De Souza, and Youyi Wang. "Robust control of discrete time uncertain dynamical systems." Automatica 29, no. 4 (1993): 1133–37. http://dx.doi.org/10.1016/0005-1098(93)90114-9.

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18

Ji, Chengda, Yue Shen, Marin Kobilarov, and Dennice F. Gayme. "Augmented Consensus Algorithm for Discrete-time Dynamical Systems." IFAC-PapersOnLine 52, no. 20 (2019): 115–20. http://dx.doi.org/10.1016/j.ifacol.2019.12.140.

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19

Fernandes, Sara, Carlos Ramos, Gyan Bahadur Thapa, Luís Lopes, and Clara Grácio. "Discrete Dynamical Systems: A Brief Survey." Journal of the Institute of Engineering 14, no. 1 (2018): 35–51. http://dx.doi.org/10.3126/jie.v14i1.20067.

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Dynamical system is a mathematical formalization for any fixed rule that is described in time dependent fashion. The time can be measured by either of the number systems - integers, real numbers, complex numbers. A discrete dynamical system is a dynamical system whose state evolves over a state space in discrete time steps according to a fixed rule. This brief survey paper is concerned with the part of the work done by José Sousa Ramos [2] and some of his research students. We present the general theory of discrete dynamical systems and present results from applications to geometry, graph theo

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20

OKNIŃSKI, A. "THREE-DIMENSIONAL ROTATIONS AND DISCRETE-TIME DYNAMICAL SYSTEMS: DISCRETE SYMMETRIES IN CHAOS-ORDER TRANSITIONS." International Journal of Bifurcation and Chaos 04, no. 01 (1994): 209–18. http://dx.doi.org/10.1142/s0218127494000150.

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It is shown that rotations in three dimensions induce two-dimensional noninvertible discrete time dynamical systems from which well-known one-dimensional mappings follow, for example, the logistic equation. The noninvertible mappings can be interpreted in terms of the dynamics of a kicked spherical top and display new forms of dynamics. The most interesting behavior of the generalized dynamical systems considered is a transition from a nearly homogeneous chaos to various forms of discrete symmetries on a unit sphere.

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21

Giesl, Peter, Zachary Langhorne, Carlos Argáez, and Sigurdur Hafstein. "Computing complete Lyapunov functions for discrete-time dynamical systems." Discrete & Continuous Dynamical Systems - B 26, no. 1 (2021): 299–336. http://dx.doi.org/10.3934/dcdsb.2020331.

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22

P. Hadeler, Karl. "Quiescent phases and stability in discrete time dynamical systems." Discrete & Continuous Dynamical Systems - B 20, no. 1 (2015): 129–52. http://dx.doi.org/10.3934/dcdsb.2015.20.129.

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23

Jagannathan, S., M. W. Vandegrift, and F. L. Lewis. "Adaptive fuzzy logic control of discrete-time dynamical systems." Automatica 36, no. 2 (2000): 229–41. http://dx.doi.org/10.1016/s0005-1098(99)00143-0.

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24

Hüls, Thorsten. "Computing Sacker–Sell spectra in Discrete Time Dynamical Systems." SIAM Journal on Numerical Analysis 48, no. 6 (2010): 2043–64. http://dx.doi.org/10.1137/090754509.

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25

Rezaali, E., F. H. Ghane, and H. Parham. "Ergodic shadowing of non-autonomous discrete-time dynamical systems." International Journal of Dynamical Systems and Differential Equations 9, no. 2 (2019): 203. http://dx.doi.org/10.1504/ijdsde.2019.10022227.

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26

Parham, H., F. H. Ghane, and E. Rezaali. "Ergodic shadowing of non-autonomous discrete-time dynamical systems." International Journal of Dynamical Systems and Differential Equations 9, no. 2 (2019): 203. http://dx.doi.org/10.1504/ijdsde.2019.100572.

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27

Baras, J. S., and N. S. Patel. "Robust control of set-valued discrete-time dynamical systems." IEEE Transactions on Automatic Control 43, no. 1 (1998): 61–75. http://dx.doi.org/10.1109/9.654887.

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28

San Martín, Jesús, and Mason A. Porter. "Convergence Time towards Periodic Orbits in Discrete Dynamical Systems." PLoS ONE 9, no. 4 (2014): e92652. http://dx.doi.org/10.1371/journal.pone.0092652.

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29

Luongo, Angelo. "Perturbation methods for nonlinear autonomous discrete-time dynamical systems." Nonlinear Dynamics 10, no. 4 (1996): 317–31. http://dx.doi.org/10.1007/bf00045480.

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30

Wang, Yi, and Jifa Jiang. "The General Properties of Discrete-Time Competitive Dynamical Systems." Journal of Differential Equations 176, no. 2 (2001): 470–93. http://dx.doi.org/10.1006/jdeq.2001.3989.

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31

Wouters, Jeroen. "Deviations from Gaussianity in deterministic discrete time dynamical systems." Chaos: An Interdisciplinary Journal of Nonlinear Science 30, no. 2 (2020): 023117. http://dx.doi.org/10.1063/1.5127272.

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32

Kazantzis, N. "?Invariance-Inducing? Control of Nonlinear Discrete-Time Dynamical Systems." Journal of Nonlinear Science 13, no. 6 (2003): 579–601. http://dx.doi.org/10.1007/s00332-003-0560-2.

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33

Khan, A. Q. "Global dynamical properties of two discrete-time exponential systems." Journal of Taibah University for Science 13, no. 1 (2019): 790–804. http://dx.doi.org/10.1080/16583655.2019.1635329.

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34

Kempf, Roland. "On Ω-limit Sets of Discrete-time Dynamical Systems". Journal of Difference Equations and Applications 8, № 12 (2002): 1121–31. http://dx.doi.org/10.1080/10236190290029024.

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35

Dai, Xiongping, Tingwen Huang, Yu Huang, Yi Luo, Gang Wang, and Mingqing Xiao. "Chaotic behavior of discrete-time linear inclusion dynamical systems." Journal of the Franklin Institute 354, no. 10 (2017): 4126–55. http://dx.doi.org/10.1016/j.jfranklin.2017.03.010.

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36

Lin, Chenxi, and Thordur Runolfsson. "Efficient optimal design of uncertain discrete time dynamical systems." Automatica 48, no. 10 (2012): 2544–49. http://dx.doi.org/10.1016/j.automatica.2012.06.049.

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37

Hattori, Tetsuya, and Shinji Takesue. "Additive conserved quantities in discrete-time lattice dynamical systems." Physica D: Nonlinear Phenomena 49, no. 3 (1991): 295–322. http://dx.doi.org/10.1016/0167-2789(91)90150-8.

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38

Kowalski, Krzysztof. "Hilbert space description on nonlinear discrete-time dynamical systems." Physica A: Statistical Mechanics and its Applications 195, no. 1-2 (1993): 137–48. http://dx.doi.org/10.1016/0378-4371(93)90258-6.

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39

HUIJBERTS, H. J. C., T. LILGE, and H. NIJMEIJER. "NONLINEAR DISCRETE-TIME SYNCHRONIZATION VIA EXTENDED OBSERVERS." International Journal of Bifurcation and Chaos 11, no. 07 (2001): 1997–2006. http://dx.doi.org/10.1142/s0218127401003218.

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A method is described for the synchronization of nonlinear discrete-time dynamics. The methodology consists of constructing observer–receiver dynamics that exploit at each time instant the drive signal and buffered past values of the drive signal. In this way, the method can be viewed as a dynamic reconstruction mechanism, in contrast to existing static inversion methods from the theory of dynamical systems. The method is illustrated on a few simulation examples consisting of coupled chaotic logistic equations. Also, a discrete-time message reconstruction scheme is simulated using the extended

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40

Penny, W., Z. Ghahramani, and K. Friston. "Bilinear dynamical systems." Philosophical Transactions of the Royal Society B: Biological Sciences 360, no. 1457 (2005): 983–93. http://dx.doi.org/10.1098/rstb.2005.1642.

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In this paper, we propose the use of bilinear dynamical systems (BDS)s for model-based deconvolution of fMRI time-series. The importance of this work lies in being able to deconvolve haemodynamic time-series, in an informed way, to disclose the underlying neuronal activity. Being able to estimate neuronal responses in a particular brain region is fundamental for many models of functional integration and connectivity in the brain. BDSs comprise a stochastic bilinear neurodynamical model specified in discrete time, and a set of linear convolution kernels for the haemodynamics. We derive an expec

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41

HUANG, QIULING, YUMING SHI, and LIJUAN ZHANG. "CHAOTIFICATION OF NONAUTONOMOUS DISCRETE DYNAMICAL SYSTEMS." International Journal of Bifurcation and Chaos 21, no. 11 (2011): 3359–71. http://dx.doi.org/10.1142/s0218127411030593.

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This paper focuses on the chaotification of nonautonomous discrete dynamical systems in finite-dimensional and general Banach spaces by feedback control techniques. Several chaotification schemes with general controllers and sawtooth function are established, respectively, where the controllers are time-invariant. The controlled systems are proved to be chaotic in the strong sense of Li–Yorke.

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42

Cong, Nguyen Dinh. "Structural stability of linear random dynamical systems." Ergodic Theory and Dynamical Systems 16, no. 6 (1996): 1207–20. http://dx.doi.org/10.1017/s0143385700009998.

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AbstractIn this paper, structural stability of discrete-time linear random dynamical systems is studied. A random dynamical system is called structurally stable with respect to a random norm if it is topologically conjugate to any random dynamical system which is sufficiently close to it in this norm. We prove that a discrete-time linear random dynamical system is structurally stable with respect to its Lyapunov norms if and only if it is hyperbolic.

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43

Swishchuk, Anatoliy, and Nikolaos Limnios. "Controlled Discrete-Time Semi-Markov Random Evolutions and Their Applications." Mathematics 9, no. 2 (2021): 158. http://dx.doi.org/10.3390/math9020158.

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In this paper, we introduced controlled discrete-time semi-Markov random evolutions. These processes are random evolutions of discrete-time semi-Markov processes where we consider a control. applied to the values of random evolution. The main results concern time-rescaled weak convergence limit theorems in a Banach space of the above stochastic systems as averaging and diffusion approximation. The applications are given to the controlled additive functionals, controlled geometric Markov renewal processes, and controlled dynamical systems. We provide dynamical principles for discrete-time dynam

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44

Theocharis, John, and George Vachtsevanos. "Identification of Discrete-Time Dynamical Systems Via Recurrent Fuzzy Models." Journal of Intelligent and Fuzzy Systems 5, no. 3 (1997): 167–91. http://dx.doi.org/10.3233/ifs-1997-5301.

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45

Andersson, M. "Modelling of Combined Discrete Event and Continuous Time Dynamical Systems." IFAC Proceedings Volumes 26, no. 2 (1993): 141–44. http://dx.doi.org/10.1016/s1474-6670(17)48241-3.

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46

Xie, Lihua, Carlos E. de Souza, and Youyi Wang. "Robust Control and Filtering of Discrete-Time Uncertain Dynamical Systems." IFAC Proceedings Volumes 25, no. 21 (1992): 160–63. http://dx.doi.org/10.1016/s1474-6670(17)49741-2.

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47

Park, J. K., and C. H. Choi. "Dynamical anti-reset windup method for discrete-time saturating systems." Automatica 33, no. 6 (1997): 1055–72. http://dx.doi.org/10.1016/s0005-1098(96)00208-7.

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48

Ngoc Phat, Vu. "Some aspects of constrained controllability of dynamical discrete-time systems*." Optimization 33, no. 1 (1995): 57–79. http://dx.doi.org/10.1080/02331939508844063.

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49

Delgado-Eckert, Edgar. "Reverse Engineering Time Discrete Finite Dynamical Systems: A Feasible Undertaking?" PLoS ONE 4, no. 3 (2009): e4939. http://dx.doi.org/10.1371/journal.pone.0004939.

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50

Magana, M. E., and S. H. Zak. "Robust state feedback stabilization of discrete-time uncertain dynamical systems." IEEE Transactions on Automatic Control 33, no. 9 (1988): 887–91. http://dx.doi.org/10.1109/9.1326.

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