文章基本信息

标题：A Chaotic System with an Infinite Number of Equilibrium Points: Dynamics, Horseshoe, and Synchronization
本地全文：下载
作者：Viet-Thanh Pham ; Christos Volos ; Sundarapandian Vaidyanathan 等
期刊名称：Advances in Mathematical Physics
印刷版ISSN：1687-9120
电子版ISSN：1687-9139
出版年度：2016
卷号：2016
DOI：10.1155/2016/4024836
出版社：Hindawi Publishing Corporation
摘要：Discovering systems with hidden attractors is a challenging topic which has received considerable interest of the scientific community recently. This work introduces a new chaotic system having hidden chaotic attractors with an infinite number of equilibrium points. We have studied dynamical properties of such special system via equilibrium analysis, bifurcation diagram, and maximal Lyapunov exponents. In order to confirm the system’s chaotic behavior, the findings of topological horseshoes for the system are presented. In addition, the possibility of synchronization of two new chaotic systems with infinite equilibria is investigated by using adaptive control.