Analysis of a new three-dimensional system with multiple chaotic attractors

被引：32
|
作者：
Guan, Zhi-Hong [1 ]
Lai, Qiang [1 ]
Chi, Ming [1 ]
Cheng, Xin-Ming [2 ]
Liu, Feng [3 ]
机构：
[1] Huazhong Univ Sci & Technol, Coll Automat, Wuhan 430074, Peoples R China
[2] Cent S Univ, Sch Informat Sci & Engn, Changsha 430083, Hunan, Peoples R China
[3] China Univ Geosci, Dept Elect Informat & Mech, Wuhan 430074, Peoples R China
来源：
NONLINEAR DYNAMICS | 2014年 / 75卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Chaotic system; Multiple attractors; Four-scroll chaotic attractor; Initial value;
D O I：
10.1007/s11071-013-1069-3
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, a new three-dimensional autonomous system with complex dynamical behaviors is reported. This new system has three quadratic nonlinear terms and one constant term. One remarkable feature of the system is that it can generate multiple chaotic and multiple periodic attractors in a wide range of system parameters. The presence of coexisting chaotic and periodic attractors in the system is investigated. Moreover, it is easily found that the new system also can generate four-scroll chaotic attractor. Some basic dynamical behaviors of the system are investigated through theoretical analysis and numerical simulation.
引用
收藏
页码：331 / 343
页数：13
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