对声光双稳态系统的稳定性进行了理论分析,用图解方式研究了不动点的稳定性,用数值求解的方法,确定了分岔点的具体位置,同时对系统经过倍周期分岔和阵法混沌途径产生混沌进行了分析.通过对系统状态随参数变化的分岔图和最大Lyapunov指数变化情况的比较分析发现本文的结果是自洽的.
In this paper, the stability of the acousto-optical bistable system is analyzed in theory and the stability of the fixed points is researched by diagrammatized mode. By the method of numerical calculation, the concrete position of the bifurcation points is calculated and the reason for chaos generation is studied. Bifurcation diagram of the system state evolving with parameter and the largest Lyapunov exponent changing with parameter of the system all show that the analysis in theory is right.