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Pàgina inicial > Articles > Articles publicats > Limit cycles for discontinuous planar piecewise linear differential systems separated by one straight line and having a center |
Data: | 2018 |
Resum: | From the beginning of this century more than thirty papers have been published studying the limit cycles of the discontinuous piecewise linear differential systems with two pieces separated by a straight line, but it remains open the following question: what is the maximum number of limit cycles that this class of differential systems can have? Here we prove that when one of the linear differential systems has a center, real or virtual, then the discontinuous piecewise linear differential system has at most two limit cycles. |
Ajuts: | Ministerio de Economía y Competitividad MTM2016-77278-P Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Discontinuous piecewise linear differential system ; Limit cycle ; Non-smooth differential system |
Publicat a: | Journal of mathematical analysis and applications, Vol. 467, issue 1 (Nov. 2018) , p. 537-549, ISSN 1096-0813 |
Postprint 14 p, 356.4 KB |