Complex transient dynamics of hidden attractors in a simple 4D system

A simple four-dimensional system with only one control parameter is proposed in this paper. The novel system has a line or no equilibrium for the global control parameter and exhibits complex transient transition behaviors of hyperchaotic attractors, periodic orbits, and unstable sinks. Especially,...

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Bibliographic Details
Published in:Chinese physics B 2015-05, Vol.24 (5), p.270-274
Main Author: 党小宇 李春彪 包伯成 武花干
Format: Article
Language:English
Subjects:
Chaos theory
Control systems
Dynamical systems
Dynamics
Formations
Orbits
Robustness
不均衡
初始状态
周期轨道
四维系统
控制参数
瞬态动力学
超混沌
过渡行为
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Summary:A simple four-dimensional system with only one control parameter is proposed in this paper. The novel system has a line or no equilibrium for the global control parameter and exhibits complex transient transition behaviors of hyperchaotic attractors, periodic orbits, and unstable sinks. Especially, for the nonzero-valued control parameter, there exists no equilibrium in the proposed system, leading to the formation of various hidden attractors with complex transient dynamics. The research results indicate that the dynamics of the system shows weak chaotic robustness and depends greatly on the initial states.
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/24/5/050503