Abstract: Based on introducing the sine-squared potential, with considering the motion damping and the periodic applied field,the motion equation of particles in bent crystal was reduced to the 2nd order nonlinear ordinary differential equation with the constant momentum, the damping and forced terms. We derived the threshold value of chaos and discussed the way leading to chaotion state by Melnikov function.

摘要： 引入正弦平方势,并考虑运动阻尼和外周期场的作用,将弯晶中的粒子运动方程化成了具有常力矩、阻尼项和受迫项的二阶非线性常微分方程。用Melnikov方法讨论了系统的混沌阈值和通往混沌的可能途径。