Dynamical behaviors of a chaotic system with no equilibria

被引：376

作者：

Wei, Zhouchao ^{[1
]}

机构：

[1] S Central Univ Nationalities, Sch Math & Stat, Wuhan 430074, Peoples R China

来源：

PHYSICS LETTERS A | 2011年 / 376卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Sprott D system; Chaotic attractors; No equilibria; Bifurcation diagram; Period-doubling cascade; EQUATIONS; ATTRACTOR; FOCI;

D O I：

10.1016/j.physleta.2011.10.040

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Based on Sprott D system, a simple three-dimensional autonomous system with no equilibria is reported. The remarkable particularity of the system is that there exists a constant controller, which can adjust the type of chaotic attractors. It is demonstrated to be chaotic in the sense of having a positive largest Lyapunov exponent and fractional dimension. To further understand the complex dynamics of the system, some basic properties such as Lyapunov exponents, bifurcation diagram, Poincare mapping and period-doubling route to chaos are analyzed with careful numerical simulations. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：102 / 108

页数：7

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