Melnikov analysis for planar piecewise linear vector fields with algebraic switching curve $y^n-x^m=0$
Dynamical Systems
2022-02-08 v1 Classical Analysis and ODEs
Abstract
This paper is devoted to the study of the maximum number of limit cycles, , of a planar piecewise linear differential system with two zones separated by the curve , with being positive integers. More precisely, we provide a lower estimate of . for all , for piecewise linear perturbations of the linear center using some recent results about Chebyshev systems with positive accuracy and Melnikov Theory
Cite
@article{arxiv.2202.02846,
title = {Melnikov analysis for planar piecewise linear vector fields with algebraic switching curve $y^n-x^m=0$},
author = {Cintia C. Santos and Oscar A. R. Cespedes},
journal= {arXiv preprint arXiv:2202.02846},
year = {2022}
}