Home > Articles > Published articles > On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems |
Date: | 2015 |
Abstract: | In this paper we consider the linear differential center (x',y')=(-y,x) 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. |
Grants: | Ministerio de Economía y Competitividad MTM2008-03437 Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 318999 |
Note: | Agraïments: The first author is partially supported by a PROCAD-CAPES grant 88881.068 462/2014-01 and by a FAPESP grant 2013/13344-0. |
Note: | Agraïments: MINECO/FEDER grant UNAB13-4E-1604. The third author is partially supported by a FAPESP grant 2012/10231-7. The three authors are also supported by a CAPES CSF-PVE grant 88881.030454/2013-01 from the program CSF-PVE. |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Discontinuous differential system ; Displacement function ; Infinite periodic orbit ; Limit cycles ; Piecewise linear differential system |
Published in: | Applied Mathematics and Computation, Vol. 271 (2015) , p. 365-374, ISSN 0096-3003 |
Postprint 9 p, 414.3 KB |