Dynamical behaviors of a chaotic system with no equilibria

被引：368
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.
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页码：102 / 108
页数：7
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