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Hidden Attractors in Discrete Dynamical Systems [PDF]
Entropy, 2021 Research using chaos theory allows for a better understanding of many phenomena modeled by means of dynamical systems. The appearance of chaos in a given process can lead to very negative effects, e.g., in the construction of bridges or in systems based ...
Marek Berezowski, Marcin Lawnik
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Canalization as a stabilizing principle of gene regulatory networks: a discrete dynamical systems perspective [PDF]
npj Systems Biology and ApplicationsGene regulatory networks exhibit remarkable stability, maintaining functional phenotypes despite genetic and environmental perturbations. Discrete dynamical models, such as Boolean networks, provide systems biologists with a tractable framework to ...
Claus Kadelka
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Synchronization in Discrete-Time, Discrete-State Random Dynamical Systems [PDF]
SIAM Journal on Applied Dynamical Systems, 2020 18 pages, 3 ...
Shirou Wang, Hong Qian, Yingfei Yi
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The Retentivity of Four Kinds of Shadowing Properties in Non-Autonomous Discrete Dynamical Systems [PDF]
Entropy, 2022 Tianxiu Lu, Yongxi Jiang, Jingmin Pi
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Category of Discrete Dynamical System
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 A dynamical system is a method that can describe the process, behavior, and complexity of a system. In general, a dynamical system consists of a discrete dynamical system and a continuous dynamical system.
Ananda Ayu Permatasari +2 more
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Dynamical properties of direct products of discrete dynamical systems
Журнал Средневолжского математического общества, 2022 A natural way for creating new dynamical systems is to consider direct products of already known systems. The paper studies some dynamical properties of direct products of homeomorphisms and diffeomorphisms.
Barinova Marina K., Shustova Evgenia K.
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Chaos for Discrete Dynamical System [PDF]
Journal of Applied Mathematics, 2013 We prove that a dynamical system is chaotic in the sense of Martelli and Wiggins, when it is a transitive distributively chaotic in a sequence. Then, we give a sufficient condition for the dynamical system to be chaotic in the strong sense of Li-Yorke. We also prove that a dynamical system is distributively chaotic in a sequence, when it is chaotic in ...
Lidong Wang, Heng Liu, Yuelin Gao
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Experimenting with discrete dynamical systems
Journal of Difference Equations and Applications, 2023 We demonstrate the power of Experimental Mathematics and Symbolic Computation to study intriguing problems on rational difference equations, studied extensively by Difference Equations giants, Saber Elaydi and Gerry Ladas (and their students and collaborators).
Spahn, George, Zeilberger, Doron
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Stability Switching in Lotka-Volterra and Ricker-Type Predator-Prey Systems with Arbitrary Step Size
Axioms, 2023 Dynamical properties of numerically approximated discrete systems may become inconsistent with those of the corresponding continuous-time system. We present a qualitative analysis of the dynamical properties of two-species Lotka-Volterra and Ricker-type ...
Shamika Kekulthotuwage Don +3 more
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Controlled Discrete-Time Semi-Markov Random Evolutions and Their Applications
Mathematics, 2021 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.
Anatoliy Swishchuk, Nikolaos Limnios
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