Affiliation:
1. Department of Mathematics and Institute of Applied Mathematics, Middle East Technical University, 06531 Ankara, Turkey
Abstract
We discuss a system with a discontinuity moments generator to obtain the solutions. It is proven that the system is chaotic and has shadowing property [Anosov, 1967; Bowen, 1975; Hammel et al., 1987; Robinson, 1995] if the generator possesses these characteristics. Illustrative examples are provided.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)
Cited by
14 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Li–Yorke Chaos in Hybrid Systems on a Time Scale;Dynamics with Chaos and Fractals;2020
2. Nonlinear Unpredictable Perturbations;Dynamics with Chaos and Fractals;2020
3. Introduction;Dynamics with Chaos and Fractals;2020
4. Poincaré chaos and unpredictable functions;Communications in Nonlinear Science and Numerical Simulation;2017-07
5. Input-Output Mechanism of the Discrete Chaos Extension;Nonlinear Systems and Complexity;2016