位错动力学与系统的全局分叉

在位错动力学的Seeger方程基础上，引入周期场作用，把位错运动方程化为具有硬弹簧特性的Duffing方程，并利用多尺度法分析了系统的动力学特征，利用Melnikov方法讨论了系统的全局分叉和系统进入混沌状态的可能途径.结果表明，当δ/α一定，Ω不断减小时，系统逐渐向临界状态接近，然后经过无限次级联分叉进入混沌状态. 关键词： 位错 分叉 超晶格 非线性

Dynamics of dislocation and global bifurcation for a system

An external periodic field has been introduced in the Seeger equation; a motion equation of a crystal dislocation has been induced to Duffing function with the hard—spring properties.A global bifurcation of the system and a probable way into the chaos have been discussed by using Melnikov methoud. It shows that the system enters into the critical state , then enters the chaos by the cascading bifurcation, if δ/α is defined and Ω is reduced continuously.