非线性环形光学腔中分岔混沌的新行为

利用数值模拟方法研究了非线性环形光学腔中的Ikeda方程,发现:长延时下,分岔图的拓扑结构、分岔方式、收敛速率以及周期窗口的结构都随参数B,φ₀的取值不同而异。短延时下,通过适当近似,将Ikeda方程化为带有一定记亿效应的迭代映象,所得到的近似系统显示出非倍周期分岔行为,并伴有一些奇特的周期窗口,混沌区中的无限嵌套的自相似结构变得模糊,不易分辨。 关键词：

NEW BEHAVIORS OF BIFURCATION AND CHAOS IN A NONLINEAR OPTICAL RING CAVITY

In this paper, lkeda equation for a nonlinear optical ring cavity is studied by numerical method. It is found that the topological structure, the way of bifurcation and its convergence rate and the period-window-structure depend on the parameters B and φ₀ in long delay time limit. In short delay time limit, some anomalous period-windows and nonperiod-doubling bifurcations are revealed, and it is also discovered that the self-similar structure in chaotic bands is blurred in the short time limit.