中国物理B ›› 2008, Vol. 17 ›› Issue (11): 4039-4046.doi: 10.1088/1674-1056/17/11/017

• • 上一篇    下一篇

A new hyperchaotic system and its linear feedback control

蔡国梁, 郑 松, 田立新   

  1. Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang 212013, China
  • 收稿日期:2008-04-02 修回日期:2008-04-12 出版日期:2008-11-20 发布日期:2008-11-20
  • 基金资助:
    Project supported by the National Natural Science Foundations of China (Grant Nos 70571030 and 90610031) and the Advanced Talents' Foundation of Jiangsu University of China (Grant No 07JDG054).

A new hyperchaotic system and its linear feedback control

Cai Guo-Liang (蔡国梁), Zheng Song (郑松), Tian Li-Xin (田立新)   

  1. Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang 212013, China
  • Received:2008-04-02 Revised:2008-04-12 Online:2008-11-20 Published:2008-11-20
  • Supported by:
    Project supported by the National Natural Science Foundations of China (Grant Nos 70571030 and 90610031) and the Advanced Talents' Foundation of Jiangsu University of China (Grant No 07JDG054).

PDF (PC)

886

赞

摘要： This paper reports a new hyperchaotic system by adding an additional state variable into a three-dimensional chaotic dynamical system, studies some of its basic dynamical properties, such as the hyperchaotic attractor, Lyapunov exponents, bifurcation diagram and the hyperchaotic attractor evolving into periodic, quasi-periodic dynamical behaviours by varying parameter $k$. Furthermore，effective linear feedback control method is used to suppress hyperchaos to unstable equilibrium, periodic orbits and quasi-periodic orbits. Numerical simulations are presented to show these results.

关键词: hyperchaos, linear feedback control, Lyapunov exponents, bifurcation

Abstract: This paper reports a new hyperchaotic system by adding an additional state variable into a three-dimensional chaotic dynamical system, studies some of its basic dynamical properties, such as the hyperchaotic attractor, Lyapunov exponents, bifurcation diagram and the hyperchaotic attractor evolving into periodic, quasi-periodic dynamical behaviours by varying parameter $k$. Furthermore，effective linear feedback control method is used to suppress hyperchaos to unstable equilibrium, periodic orbits and quasi-periodic orbits. Numerical simulations are presented to show these results.

Key words: hyperchaos, linear feedback control, Lyapunov exponents, bifurcation

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

  • 05.45.Gg
02.30.Oz (Bifurcation theory) 05.45.Pq (Numerical simulations of chaotic systems)