Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4626165 | Applied Mathematics and Computation | 2015 | 10 Pages |
Abstract
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.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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Márcio R.A. Gouveia, Jaume Llibre, Douglas D. Novaes,