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Pàgina inicial > Articles > Articles publicats > On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line |
Data: | 2015 |
Resum: | In this paper we study the maximum number N of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line. More precisely, we prove that this maximum number satisfies 2 ≤ N ≤ 4 if one of the two linear differential systems has its equilibrium point on the straight line of discontinuity. |
Ajuts: | Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 318999 |
Nota: | Agraïments: The first author is supported by the FAPESP-BRAZIL grants 2010/18015-6 and 2012/05635-1. FEDER-UNAB10-4E-378. |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Limit cycles ; Nonsmooth differential system ; Piecewise linear differential system |
Publicat a: | Journal of mathematical analysis and applications, Vol. 424 (2015) , p. 475-486, ISSN 1096-0813 |
Postprint 17 p, 673.1 KB |