耦合帐篷映射混沌同步系统的筛形吸引域

RIDDLED BASIN IN CHAOTIC SYNCHRONIZATION SYSTEM: LINEAR COUPLED STANDARD TENT MAPS

讨论了两个线性耦合的标准帐篷映射混沌同步系统的同步混沌吸引子的吸引域 ,证明其是筛形吸引域 .提出了筛形品质因子的概念 ,并据之给出了系统的同步混沌吸引子的吸引域发生从局部筛形到全局筛形的转变的耦合参数临界值 .修正了当系统出现筛形吸引域时的横截Lyapunov指数的解析表达式 .指出考查筛形吸引域在混沌同步系统中有着重要意义 .

The riddled basin of the chaotic synchronized attractor in linear coupled standard tent maps is studied and proved.The notion of riddled factor is presented.According to it,the critical value of the coupling at which locally\|globally bifurcation occurs is found and the analytical expression of transverse Lyapunov exponent is also revised.It is shown that in chaotic synchronization the riddled basin plays an important role.