强迫布鲁塞尔振子双稳周期吸引子的初值流域

The Initial Value Basins of Bistable Station Periodic Attractor for Forced Brusselator

本文利用数值方法,在几组典型参数值下,详细地考察了弱耦合强迫布鲁塞尔振子在超临界情况下双稳周期运动的周期与初值的关系。首次在初值平面x_0—y_0上的一定范围内,给出了导致不同周期运动的初值分布(流域)。计算结果还表明:在此范围内不存在多重稳定态,因而从一个方面进一步加强了弱耦合条件下的强迫布鲁塞尔振子与圆映象的可比性。

In this paper, by numerical method, with several groups of typical parameters, we have carefully investigated the relation between initial values and the periods of stableperiodic motion for a Forced Brusselator of weak coupling in an over-critical state. It is the first time we have given the distribution of the initial values (valley map).