A novel bounded 4D chaotic system

被引：31
作者：
Zhang, Jianxiong [1 ]
Tang, Wansheng [1 ]
机构：
[1] Tianjin Univ, Inst Syst Engn, Tianjin 300072, Peoples R China
来源：
NONLINEAR DYNAMICS | 2012年 / 67卷 / 04期
基金：
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
关键词：
Hyperchaos; Ultimate bound; Positively invariant set; Lyapunov function; LORENZ SYSTEM; ATTRACTORS; SET;
D O I：
10.1007/s11071-011-0159-3
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This paper presents a novel bounded four-dimensional (4D) chaotic system which can display hyperchaos, chaos, quasiperiodic and periodic behaviors, and may have a unique equilibrium, three equilibria and five equilibria for the different system parameters. Numerical simulation shows that the chaotic attractors of the new system exhibit very strange shapes which are distinctly different from those of the existing chaotic attractors. In addition, we investigate the ultimate bound and positively invariant set for the new system based on the Lyapunov function method, and obtain a hyperelliptic estimate of it for the system with certain parameters.
引用
收藏
页码：2455 / 2465
页数：11
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