光学双稳态离散模型的动力学行为

对描写光学双稳系统的延时微分方程作了离散化处理，在Ｎ＝１的情况下，得到一个二维迭代方程，研究结果表明：系统刚失稳时不是单模振荡，而是四模同时振荡，并且各自以独立的方式随着参数Ａ而变化并以倍周期分叉道路进入混沌，同时，在周期三窗口发现了另一个共存的吸引子，其吸引域具有类似二维Ｍａｎｄｅｂｌｏｒｔ集的分形结构。 关键词：

THE DYNAMICAL BEHAVIOR OF A DISCRETE MODEL OF OPTICAL BISTABLE SYSTEM

The differential equation with delayed feedback of the optical bistable system is discretized into a two-dimensional mapping. It is shown that the four-fold oscil-lation mode presents instead of single-mode oscillation upon the loss of stability of the system and that the four modes enter chaos with period-doubling cascade independently with the change of parameter A. In addition, a coexisting attractor is found in the window of period-three. The basin of the coexisting attractor is a fractal structure similar to the two-dimensional Mandeblort set.