© 2014 Elsevier Inc. 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≤. 4 if one of the two linear differential systems has its equilibrium point on the straight line of discontinuity.
- Limit cycle
- Non-smooth differential system
- Piecewise linear differential system