摘要
讨论调频输入正弦锁相环路方程的调和解、浑饨与分支。利用Melnikov方法确定了产生浑沌与次谐波分支及其稳定性的条件，同时我们证明了当方程的参数适当小时，它必存在调和解。
This paper discusses the harmonic solution, chaos and bifurcation for equation x + (α + ηcosx)x + γsinx = β1 + β2 (αsinωt + ωcosωt)By using the Melnikov method, the conditions for the equation to have chaoticbehavior and subharmonic oscillations and for their stability are given. In addition,we prove that a harmonic solution certainly exists when parameters α.η.γ.β1.β2, are suitably small.
基金
国家自然科学基金!19471042
关键词
锁相环路
调和解
浑沌
分支
Phase locked loop
harmonic solution
chaos and bifurcation
