›› 2009, Vol. 29 ›› Issue (1): 14-20.DOI: A

• 论文 • 上一篇    下一篇

《一个新超混沌系统的自适应反同步》

周晟,唐驾时   

  1. (湖南大学力学与航空航天学院,长沙,410082)
  • 收稿日期:2008-05-03 修回日期:2008-05-28 出版日期:2009-02-18 发布日期:2009-02-18
  • 通讯作者: 周晟

《Adaptive anti-synchronization of a new hyperchaotic system》

Zhou Sheng,Tang Jia-shi   

  1. (College of Mechanics and Aerospace, Hunan University, Changsha 410082, P. R. China)
  • Received:2008-05-03 Revised:2008-05-28 Online:2009-02-18 Published:2009-02-18
  • Contact: Zhou Sheng

摘要: 本文引入了一个新的四维连续超混沌自治系统,分析了它的基本动力学性质,构造了电路成功实现了此超混沌系统,并给出了仿真结果。另外,根据Lyapunov稳定性理论采用自适应方法,给出了控制规律和未知参数的变化规律,在系统参数未知的情况下实现了这个系统的反同步。最后,采用数值方法验证了控制规律和参数变化规律的正确性。

关键词: 超混沌, 同步, Lyapunov稳定性理论, 自适应控制

Abstract: This paper constructs a new four-dimensional continuous autonomous hyperchaotic system. The basic dynamical behaviors of this hyperchaotic system are investigated, a circuit diagram is designed for verifying the hyperchaotic behaviors, and some simulation observations are given. Moreover, an adaptive control method and a parameter update rule for unknown parameters based on Lyapunov stability theory are introduced to achieve anti-synchronization of two systems. Finally, the numerical simulations are shown to verify the results.

Key words: Hyperchaos, Synchronization, Lyapunov stability theory, Adaptive control

中图分类号: