中国物理B ›› 2009, Vol. 18 ›› Issue (5): 1769-1773.doi: 10.1088/1674-1056/18/5/009

• GENERAL • 上一篇    下一篇

Chaotification for a class of nonlinear systems

刘娜, 关治洪   

  1. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
  • 收稿日期:2008-09-11 修回日期:2008-10-30 出版日期:2009-05-20 发布日期:2009-05-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 60834002, 60603006, 60628301 and 60873021), and the International Science and Technology Cooperative Project (Grant No 2008DFA12150).

Chaotification for a class of nonlinear systems

Liu Na(刘娜) and Guan Zhi-Hong(关治洪)†   

  1. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
  • Received:2008-09-11 Revised:2008-10-30 Online:2009-05-20 Published:2009-05-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 60834002, 60603006, 60628301 and 60873021), and the International Science and Technology Cooperative Project (Grant No 2008DFA12150).

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摘要： More and more attention has been focused on effectively generating chaos via simple physical devices. The problem of creating chaotic attractors is considered for a class of nonlinear systems with backlash function in this paper. By utilizing the Silnikov heteroclinic and homoclinic theorems, some sufficient conditions are established to guarantee that the nonlinear system has horseshoe-type chaos. Examples and simulations are given to verify the effectiveness of the theoretical results.

Abstract: More and more attention has been focused on effectively generating chaos via simple physical devices. The problem of creating chaotic attractors is considered for a class of nonlinear systems with backlash function in this paper. By utilizing the Silnikov heteroclinic and homoclinic theorems, some sufficient conditions are established to guarantee that the nonlinear system has horseshoe-type chaos. Examples and simulations are given to verify the effectiveness of the theoretical results.

Key words: chaos, backlash function, heteroclinic orbit, chaos generation

中图分类号:  (Control of chaos, applications of chaos)

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