基于抑制相空间实现混沌控制

Control Chaotic behavior Based Restraining Phase Space

本文利用非线性理论研究了Henon映射和Lorenz系统的非线性动力学行为及稳定性,分析了随着参数的变化,映射从周期到混沌的过程,并利用抑制相空间原理成功实现了对混沌的控制.数值结果表明,该方法能有效地控制Henon映射和Lorenz系统的混沌行为,并可以得到丰富的稳定的多周期轨道.

In this article the nonlinear dynamics characteristics and stability of the Henon map and Lorenz system are investigated by nonlinear theory. The processes from chaos to stability of them as the parameter changes are analysed. Chaotic behavior of Henon map and Lorenz system are controlled successfully by restraining phase space method. The simulation result shows that the method is very effective to control chaotic behavior, we can get plenty muti - period orbits.