On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line (original) (raw)

Abstract

In this paper we study the maximum number N 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 2 ≤ N ≤ 3 if one of the two linear differential systems has its equilibrium point on the straight line of discontinuity.

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