© 2015 Elsevier Inc. All rights reserved. In this paper we consider the linear differential center (x,y)=(-y,x) perturbed inside the class of all discontinuous piecewise linear differential systems with two zones separated by the straight line y=0. Using the Bendixson transformation we provide sufficient conditions to ensure the existence of a crossing limit cycle coming purely from the infinity. We also study the displacement function for a class of discontinuous piecewise smooth differential system.
- Discontinuous differential system
- Displacement function
- Infinite periodic orbit
- Limit cycle
- Piecewise linear differential system