两参量平面上双重激变尖点研究

A Study on the double crisis vertex in a two-parameter plane

应用广义胞映射图论 (GCMD)方法 ,研究两参量正弦强迫振子的双重激变现象 ,确定了两参量平面上的双重激变尖点 ,在这个尖点上两条边界激变曲线和两条内部激变曲线相汇交 ,四种不同的激变重合 .物理上 ,在这样一个尖点附近的参量扰动 (噪声 )导致动力学行为戏剧性变化 .

By means of GCMD method, a double crisis of sinusoidally forced oscillators is studied. A double crisis vertex in a two-parameter Plane is determined, at,which two curves of boundary crisis and two curves of interior crisis meet and four distinct crises coincide. Physically, small parameter perturbation (noise) about such a vertex induces drastic changes in the dynamical behaviour.