  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 $y^n-x^m=0$, with $n,m$ being positive integers. More
precisely, we provide a lower estimate of $ H(m,n)$. for all $m,n\in
\mathbb{N}$, for piecewise linear perturbations of the linear center using some
recent results about Chebyshev systems with positive accuracy and Melnikov
Theory

Dynamical Systems;Classical Analysis and ODEs