A new finding of the existence of hidden hyperchaotic attractors with no equilibria

被引：161

作者：

Wei, Zhouchao ^{[1
]}

Wang, Rongrong ^{[2
]}

Liu, Anping ^{[1
]}

机构：

[1] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China

[2] Hebei North Univ, Editorial Dept Journal, Zhangjiakou 075000, Peoples R China

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2014年 / 100卷

关键词：

Hidden attractor; Hyperchaos; Generalized Lorenz equations; Lyapunov exponent; Co-existing solutions; CHAOTIC SYSTEM; DYNAMICAL BEHAVIORS; EQUATION;

D O I：

10.1016/j.matcom.2014.01.001

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The paper presents a new four-dimensional hyperchaotic system developed by extension of the generalized diffusionless Lorenz equations. The model is shown to not be equivalent to any hyperchaotic system that the authors know of. In particular, the model does not display any equilibria, but can exhibit two-scroll hyperchaos as well as chaotic, quasiperiodic and periodic dynamics. For certain parameter values, coexisting attractors can be observed, e.g. hyperchaotic and periodic attractors. Investigation of the proposed system is performed through a combination of numerical simulation and mathematical analysis in order to obtain time plots, phase portraits, Lyapunov exponents, and Poincare sections. (C) 2014 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：13 / 23

页数：11

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