拟周期受迫正弦锁相系统的浑沌分支集

Bifurcation Set of Chaos in the Quasiperiodically Forced System of Phase-Locked Loop

本文研究一类拟周期受迫的二阶锁相系统,应用Melnikov方法,我们得到横截同宿到正交双曲不变环面的存在性条件,并给出了分支集的描述。

In this paper, we study the chaotic bifurcation set of quasiperiodically forced secoud order phase-look loop equations with sine characteristic. By using melnikov method, we obtain the condition of the existence of transverse homoclinic to a normal heperbolic invariant torus, and we give the description of bifurcation sets