沟道效应的运动阻尼与系统走向混沌的临界特征

Motion damping in channelling effects and the chaotic behaviour of a system

利用正弦平方势 ,把粒子运动方程化为具有运动阻尼和周期调制的摆方程 .利用Melnikov方法分析了系统的全局分叉和混沌行为 。

The equation of motion of particles has been reduced to the pend ulum equation with a damping term and a forced term by using the sine_squared potential.The global bifurcatio n an d chaotic behaviours have been analysed using Melnikov technique, and it is show n that the enhancement of the radiation background and the random phenomen on of th e channelling efect are related to chaotic behaviours of the system.