利用常数周期脉冲法控制耦合Φ~4映象的混沌运动

Controlling Chaos with Constant Periodic Pulse Method in Coupled Φ~4 Hamiltonian

推广了常数周期脉冲方法对保守系统的混沌控制,将其应用到高维耦合连续映象保守系统—耦合Φ4映象中,实现了对哈密顿系统的目标控制。通过计算相空间各混沌轨道的有限时间李雅普诺夫指数,得到有限时间收敛区,利用混沌轨道的有限时间收敛性,通过持续的常数周期脉冲扰动使混沌轨道的稳定片断构成一个周期轨道,从而实现对哈密顿系统的混沌控制。

A constant periodic pulse method for controlling chaos which makes the stable segment of the chaotic orbit form a closed orbit by acting periodic pulses on the system variables is proposed on the basis of the finite time Lyapunov exponents. The finite time convergence zones are obtained by calculating the finite time Lyapunov exponents for the initial values in the phase space. By using the finite time convergence, the periodic pulse method is modified and applied to controUing Hamiltonian chaos. This method is applied to a high dimensional system with coupled Ф^4 maps.