声光双稳系统的自控制反馈耦合驱动混沌同步

SELF CONTROL FEEDBACK SYNCHRONIZATION OF CHAOS BYCOUPLING DRIVING IN ACOUSTO OPTIC BISTABLE SYSTEM

首先从理论上提出自控制反馈耦合驱动混沌同步化方案，数值地分析了双Ｂｒａｇｇ型声光双稳系统混沌输出同步化条件，使用最大条件Ｌｙａｐｕｎｏｖ指数作为同步化判据．发现通过适当比例的耦合驱动可以使两组混沌系统达到同步的混沌输出，引入自控制反馈可以加速达到同步化的速度并减小所需的最小耦合强度，在噪声的影响下同样可以实现混沌的同步．

The paper proposes theoretically the method of chaos synchronization by self controlled feedback coupling driving,and studies numerically on the condition of chaotic synchronization in two Bragg acousto optic bistable (AOB) systems. The maximum conditional Lyapunov exponent (MCLE) are considered as the criteria of synchronization. It is found that one can gain the chaotic outputs synchronized of the two systems if one system is coupling driven appropriately by another. When self controlled feedback on parameter introduced, synchronization can be realized faster and the required minimum stiffness of coupling is decreased. The synchronization is also gained when the effect of noise is considered. The result of experimental test is also given.