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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 ...
Lidong Wang, Heng Liu, Yuelin Gao
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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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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 on chemical reactors.
Marek Berezowski, Marcin Lawnik
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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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Block-Coppels chaos in set-valued discrete systems [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2013 Let (X, d) be a compact metric space and f : X → X be a continuous map. Consider the metric space (K(X),H) of all non empty compact subsets of X endowed with the Hausdorff metric induced by d. Let ¯ f : K(X) → K(X) be defined by ¯ f(A) = {f(a) : a ∈ A} .
Mojtaba Jazaeri, Bahman Honary
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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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Advances in Difference Equations, 2005 We develop thermodynamic models for discrete-time large-scale dynamical systems. Specifically, using compartmental dynamical system theory, we develop energy flow models possessing energy conservation, energy equipartition, temperature equipartition, and
Vijaysekhar Chellaboina +3 more
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Quantifying Noninvertibility in Discrete Dynamical Systems [PDF]
The Electronic Journal of Combinatorics, 2020 Given a finite set $X$ and a function $f:X\to X$, we define the \emph{degree of noninvertibility} of $f$ to be $\displaystyle\deg(f)=\frac{1}{|X|}\sum_{x\in X}|f^{-1}(f(x))|$. This is a natural measure of how far the function $f$ is from being bijective.
Colin Defant, James Propp
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Stability Analysis on Nabla Discrete Distributed-Order Dynamical System
Fractal and Fractional, 2022 This paper addresses the problems of the stability of a nabla discrete distributed-order dynamical system (NDDS). Firstly, based on a proposed generalized definition of discrete integral, some related definitions of nabla discrete distributed-order ...
Xiang Wu +3 more
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Solving Equations on Discrete Dynamical Systems [PDF]
, 2020 Discrete dynamical systems (DDS) are a useful tool for modelling the dynamical behavior of many phenomena occurring in a huge variety of scientific domains. Boolean automata networks, genetic regulation networks, and metabolic networks are just a few examples of DDS used in Bioinformatics.
Alberto Dennunzio +4 more
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