Number of Limit Cycles for Some Non-generic Classes of Piecewise Linear Differential Systems

Abstract

Recently, some upper bounds were found for the maximum number of limit cycles for some non-generic classes of planar piecewise linear differential systems with two zones separated by a straight line. However, many distinct cases were considered. Here the main properties of those classes are identified, this allows us to unify the approach and to extend the results. We also study a new class of differential systems.