非线性Mathieu方程的阈值与分叉过程中的慢化现象

Threshold Values of Nonlinear Mathieu Equation and Slow-up Phenomena in Progress of Bifurcations

应用 Melnikov 函数方法求得了不高于五次的非线性 Mathieu 方程的阈值,并籍数值方法讨论了分叉过程申的慢化现象。

Using Mel′nikov method,the author obtained the threshold values of the nonlinear Mathieu Equations which consist of the term x^5,and also discussed the slow-up phenomena in the progress of bifurcations with the numerical methods.