一个非线性扰动系统极限环的存在惟一性

Existence and Uniqueness of Limit Cycles for a Nonlinear Perturbed System

本文应用动力系统分支理论的方法,讨论SIRS模型中提出的一个自治扰动系统,从而在双参数空间给出了同宿分支产生极限环的参数条件,并进一步确定了极限环的惟一性.

This article applies the method of bifurcation theory of dynamical system, it discusses a autonomous perturbed system of a SIRS model, thereby, the condition of the limit-cycle appearing in the homoclinic loop bifurcation is given in a two-parameter space and the uniqueness of limit-cycle is proved.