A SEPARATION CONDITION FOR THE EXISTENCE OF LIMIT-CYCLES IN SLOW-FAST SYSTEMS

被引：24

作者：

MURATORI, S

RINALDI, S

机构：

[1] Centro Teoria dei Sistemi, CNR, Politecnico di Milano, Milano

来源：

APPLIED MATHEMATICAL MODELLING | 1991年 / 15卷 / 06期

关键词：

NONLINEAR SYSTEMS; LIMIT CYCLES; BIFURCATIONS; CATASTROPHES; SINGULAR PERTURBATION;

D O I：

10.1016/0307-904X(91)90046-R

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A condition for the existence of limit cycles in slow-fast dynamical systems is presented in this paper. The condition, used up to now to analyze relaxation oscillations in second-order systems, is extended to higher-dimensional systems and applied to models of particular interest. The analysis is purely geometric and based on singular perturbation arguments, and the limit cycles that the condition identifies are composed of alternate slow and fast transitions.

引用

页码：312 / 318

页数：7

共 14 条

[1] FOREST PEST INTERACTION DYNAMICS - THE SIMPLEST MATHEMATICAL-MODELS [J].