摘要
在摆模型基础上,考虑了阻尼项和受迫项的影响,电子的运动方程化为典型的动力学方程;利用Melnikov方法分析了系统的全局分又与Smalc马蹄变换意义上的混沌行为,给出了系统通过级联分叉进入混沌的临界值,为自由电子激光器的设计提供了理论分析．
The effects of the damping term and the forced term are considered based on the pendulum model,and the motion equation of electron in the undulator is reduced to the typic dynamic equation. The global bifurcation and the chaotic behavior with Smale horse＇s hoof are analyzed by using Melnikov method. Thus the theoretic analysis is provided for the design of undulator.
出处
《东莞理工学院学报》
2007年第3期18-21,共4页
Journal of Dongguan University of Technology
