On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems

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Author(s):	Gouveia, Marcio R. A. ^[1] ; Llibre, Jaume ^[2] ; Novaes, Douglas D. ^[3] Total Authors: 3
Affiliation:	^[1] Univ Estadual Paulista, IBILCE, Dept Matemat, BR-15054000 Sao Paulo - Brazil ^[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia - Spain ^[3] Univ Estadual Campinas, Dept Matemat, BR-13083859 Campinas, SP - Brazil Total Affiliations: 3
Document type:	Journal article
Source:	Applied Mathematics and Computation; v. 271, p. 365-374, NOV 15 2015.
Web of Science Citations:	3
Abstract
In this paper we consider the linear differential center ((x) over dot, (y) over dot) = (-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 coining purely from the infinity. We also study the displacement function for a class of discontinuous piecewise smooth differential system. (C) 2015 Elsevier Inc. All rights reserved. (AU)

FAPESP's process:	13/13344-0 - Existence of periodic orbits using Lefschetz and Nielsen numbers theory
Grantee:	Márcio Ricardo Alves Gouveia
Support Opportunities:	Scholarships abroad - Research


FAPESP's process:	12/10231-7 - Regularization and minimal sets for non-smooth dynamical systems
Grantee:	Douglas Duarte Novaes
Support Opportunities:	Scholarships in Brazil - Doctorate