Home > Articles > Published articles > Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line |
Date: | 2019 |
Abstract: | This paper provides the classification of the phase portraits in the Poincaré disc of all piecewise linear continuous differential systems with two zones separated by a straight line having a unique finite singular point which is a node or a focus. The sufficient and necessary conditions for existence and uniqueness of limit cycles are also given. |
Grants: | Ministerio de Economía y Competitividad MTM2013-40998-P Ministerio de Economía y Competitividad MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 Ministerio de Economía y Competitividad MDM-2014-0445 |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Phase portraits ; Piecewise linear differential system ; Limit cycle |
Published in: | Journal of differential equations, Vol. 266, Issue 12 (June 2019) , p. 8094-8109, ISSN 1090-2732 |
Postprint 22 p, 534.3 KB |