Affiliation:
1. Mathematics Department, Middle East Technical University, 06800, Ankara, Turkey
Abstract
In this paper, we present a new method for chaos generation in nonautonomous impulsive systems. We prove the presence of chaos in the sense of Li–Yorke by implementing chaotic perturbations. An impulsive Duffing oscillator is used to show the effectiveness of our technique, and simulations that support the theoretical results are depicted. Moreover, a procedure to stabilize the unstable periodic solutions is proposed.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)
Cited by
11 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. Topological entropy for impulsive differential equations;Electronic Journal of Qualitative Theory of Differential Equations;2020
2. Li–Yorke Chaos in Hybrid Systems on a Time Scale;Dynamics with Chaos and Fractals;2020
3. Unpredictability in Bebutov Dynamics;Dynamics with Chaos and Fractals;2020
4. Introduction;Dynamics with Chaos and Fractals;2020
5. Replication of period-doubling route to chaos in impulsive systems;Electronic Journal of Qualitative Theory of Differential Equations;2019