A new hyperchaotic Lorenz-type system: Generation, analysis, and implementation

被引：44
作者：
Li, Yuxia [1 ]
Liu, Xuezhen [2 ]
Chen, Guanrong [3 ]
Liao, Xiaoxin [4 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Informat & Elect Engn, Qingdao 266510, Peoples R China
[2] Shandong Inst Light Ind, Coll Elect Informat & Control Engn, Jinan, Peoples R China
[3] City Univ Hong Kong, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China
[4] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS | 2011年 / 39卷 / 08期
基金：
中国国家自然科学基金;
关键词：
hyperchaos; chaos; ultimate bound; global attractive set; circuit implementation; POSITIVE INVARIANT SET; ATTRACTIVE SET; CHAOTIC SYSTEM; FAMILY; SYNCHRONIZATION; BRIDGE;
D O I：
10.1002/cta.673
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
A new four-dimensional continuous-time autonomous hyperchaotic Lorenz-type system is introduced and analyzed. This hyperchaotic system is not only visualized by computer simulation but also verified with bifurcation analysis and realized with an electronic circuit. Moreover, explicit formulae for estimating the ultimate bound and positive invariant set of the system are derived by constructing a family of generalized Lyapunov functions. The findings and results of this paper have good potential in control and synchronization of hyperchaos and their engineering applications. Copyright (C) 2010 John Wiley & Sons, Ltd.
引用
收藏
页码：865 / 879
页数：15
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