Melnikov analysis for planar piecewise linear vector fields with algebraic switching curve $y^n-x^m=0$

Cintia C. Santos, Oscar A. R. Cespedes

This paper is devoted to the study of the maximum number of limit cycles, $H(m,n)$, of a planar piecewise linear differential system with two zones separated by the curve $y^n-x^m=…