On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line
arXiv:1409.4602 · doi:10.1016/j.jmaa.2014.10.077
Abstract
In this paper we study the maximum number of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line. More precisely, we prove that this maximum number satisfies if one of the two linear differential systems has its equilibrium point on the straight line of discontinuity.