中国物理B ›› 2009, Vol. 18 ›› Issue (8): 3304-3308.doi: 10.1088/1674-1056/18/8/034

• GENERAL • 上一篇    下一篇

Circuitry implementation of a novel nonautonomous hyperchaotic Liu system based on sine input

罗小华   

  1. College of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing \rm 400065, China
  • 收稿日期:2009-01-07 修回日期:2009-02-10 出版日期:2009-08-20 发布日期:2009-08-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 60572089) and the Natural Science Foundation of Chongqing (Grant No CSTC,2008BB2087).

Circuitry implementation of a novel nonautonomous hyperchaotic Liu system based on sine input

Luo Xiao-Hua(罗小华)†   

  1. College of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing \rm 400065, China
  • Received:2009-01-07 Revised:2009-02-10 Online:2009-08-20 Published:2009-08-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 60572089) and the Natural Science Foundation of Chongqing (Grant No CSTC,2008BB2087).

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摘要： Based on the three-dimensional Liu system with a nonlinear term of square, this paper appends a state variable to the system, and further adds a driving signal of the sine signal to construct a novel 4-demensional nonautonomous hyperchaotic Liu system. The appended variable is formed by the product of the nonlinear quadratic term of the original state variables and the driving signal. Through adjusting the frequency of the driving signal, the system can be controlled to show some different dynamic behaviors. By numerical simulations, the Lyapunov exponent spectrums, bifurcation diagrams and phase diagrams of the novel systems are analyzed. Furthermore, the corresponding hardware circuits are implemented. Both the experimental results and the simulation results confirm that the method is feasible. The method, which adjusts the frequency of the input sine signal to control the system to show different dynamic behaviors, can make the dynamic property of the system become more complex, but easier to be controlled accurately as well.

Abstract: Based on the three-dimensional Liu system with a nonlinear term of square, this paper appends a state variable to the system, and further adds a driving signal of the sine signal to construct a novel 4-demensional nonautonomous hyperchaotic Liu system. The appended variable is formed by the product of the nonlinear quadratic term of the original state variables and the driving signal. Through adjusting the frequency of the driving signal, the system can be controlled to show some different dynamic behaviors. By numerical simulations, the Lyapunov exponent spectrums, bifurcation diagrams and phase diagrams of the novel systems are analyzed. Furthermore, the corresponding hardware circuits are implemented. Both the experimental results and the simulation results confirm that the method is feasible. The method, which adjusts the frequency of the input sine signal to control the system to show different dynamic behaviors, can make the dynamic property of the system become more complex, but easier to be controlled accurately as well.

Key words: chaos, hyperchaos, Liu system, frequency control

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)