Artículos de revistas
On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems
Fecha
2015-11-15Registro en:
Applied Mathematics and Computation, v. 271, p. 365-374.
0096-3003
10.1016/j.amc.2015.09.022
2-s2.0-84942856402
2-s2.0-84942856402.pdf
Autor
Universidade Estadual Paulista (Unesp)
Universidade Estadual de Campinas (UNICAMP)
Institución
Resumen
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.