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| Pàgina inicial > Articles > Articles publicats > Three nested limit cycles in discontinuous piecewise linear differential systems with two zones |
(Universitat Autònoma de Barcelona. Departament de Matemàtiques) (E.T.S. Ingenieros(Sevilla))| Títol variant: | Three limit cycles in discontinuous piecewise linear differential systems with two zones |
| Data: | 2012 |
| Resum: | In this paper we study a planar piecewise linear differential system formed by two regions separated by a straight line so that one system has a real unstable focus and the other a virtual stable focus which coincides with the real one. This system was introduced by S. -M. Huan and X. -S. Yang in [8] who numerically showed that it can exhibit 3 limit cycles surrounding the real focus. This is the first example that a non-smooth piecewise linear differential system with two zones can have 3 limit cycles surrounding a unique equilibrium. We provide a rigorous proof of this numerical result. |
| Ajuts: | Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 Ministerio de Ciencia e Innovación FEDER/MTM2008-03437 |
| Nota: | El títol de la versió pre-print de l'article és: Three limit cycles in discontinuous piecewise linear differential systems with two zones |
| Drets: | Tots els drets reservats.  |
| Llengua: | Anglès |
| Document: | Article ; recerca ; Versió acceptada per publicar |
| Matèria: | Non-smooth differential system ; Limit cycle ; Piecewise linear differential system |
| Publicat a: | Dynamics of continuous, discrete and impulsive systems. Series B: Applications & Algorithms, Vol. 19 (2012) , p. 325-335, ISSN 1918-2538 |
8 p, 306.6 KB |
