Abstract: In this peper,an extensive numerical inveshgahon of the classical equation of mtoion of the simple pendulum with viscous damping driven by a periodic external force x"(t)+rx'(t)+bsin(x)=k₁cos(t) is reported. Chaotic solutionsas function of the damping conestant and amplitude are found. our motive for this study is to predict quanhtativiy the chaotic behaviours of bend crystal channel under the action of periodic field.

Key words: chaos, non-linear

摘要： 本文从物理角度出发,研究了带电粒子间物质相互作用.并利用了新的粒子晶体相互作用势(正弦平方势),导出了具有受迫项和阻尼项的单摆方程:x"(t)+rx'(t)+bsin(x)=k₁cos(t)用数值方法对方程进行了广泛的数值探索和研究.并在耗散系数r和受迫强度k₁为参数的空间中重点讨论了系统的全局分叉和混沌行为.预示了在弯晶沟道效应中可能存在混沌现象的参数范围,并为约瑟夫森效应的研究提供了基本的数值分析.

关键词: 混沌, 非线性