Results 11 to 20 of about 284,862 (278)
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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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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Discrete Dynamical Systems: A Brief Survey [PDF]
, 2018 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.
Fernandes, S. +4 more
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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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Study of Transitivity, Periodic Density and Sensitivity for Chaotic Non-Autonomous Fuzzified Dynamical System [PDF]
Sahand Communications in Mathematical AnalysisThe present investigations focus on the mathematical analysis and investigation of non-autonomous discrete dynamical systems. A non-autonomous discrete dynamical system has been framework using the series technique map method to elaborate the ...
Renu Verma, Ram Yadav
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Dynamical Complexities of a Discrete Ivlev-Type Predator-Prey System
Discrete Dynamics in Nature and Society, 2023 In this study, we examine a discrete predator-prey system from the following two perspectives: (i) the functional response is of the Ivlev type and (ii) the prey growth rate is of the Gompertz type.
Sarker Md. Sohel Rana
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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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