Chaos and hyperchaos in the fractional-order Rossler equations

被引：574
作者：
Li, CG [1 ]
Chen, GR
机构：
[1] Univ Elect Sci & Technol China, Coll Elect Engn, Inst Elect Syst, Chengdu 610054, Peoples R China
[2] City Univ Hong Kong, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2004年 / 341卷
基金：
中国国家自然科学基金;
关键词：
chaos; hyperchaos; fractional order; Rossler equation;
D O I：
10.1016/j.physa.2004.04.113
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The dynamics of fractional-order systems have attracted increasing attentions in recent years. In this paper, we numerically study the chaotic behaviors in the fractional-order Rossler equations. We found that chaotic behaviors exist in the fractional-order Rossler equation with orders less than 3, and hyperchaos exists in the fractional-order Rossler hyperchaotic equation with order less than 4. The lowest orders we found for chaos and hyperchaos to exist in such systems are 2.4 and 3.8, respectively. Period doubling routes to chaos in the fractional-order Rossler equation are also found. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：55 / 61
页数：7
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