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| Pàgina inicial > Articles > Articles publicats > Uniqueness and Non-uniqueness of Limit Cycles for Piecewise Linear Differential Systems with Three Zones and No Symmetry |
(Universitat Autònoma de Barcelona. Departament de Matemàtiques) (Escuela Técnica Superior de Ingeniería (Sevilla). Departamento de Matemática Aplicada) (Instituto Superior Técnico. Departamento de Matemática)| Títol variant: | Limit cycles of piecewise linear differential systems with three zones and symmet |
| Data: | 2015 |
| Resum: | Some techniques for proving the existence and uniqueness of limit cycles for smooth differential systems are extended to continuous piecewise linear differential systems with two and three zones and no symmetry. For planar systems with three linearity zones, the existence of two limit cycles surrounding the only equilibrium point at the origin is rigorously shown for the first time. The usefulness of the achieved analytical results is illustrated by considering non-symmetric memristor-based electronic oscillators. |
| Ajuts: | Ministerio de Economía y Competitividad MTM2008-03437 Ministerio de Economía y Competitividad MTM2012-31821 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-410 European Commission 316338 European Commission 318999 |
| Nota: | El títol de la versió pre-print de l'article és: Limit cycles of piecewise linear differential systems with three zones and symmet |
| Nota: | Agraïments: The first author is partially supported by a FEDER-UNAB10-4E-378 |
| Drets: | Tots els drets reservats.  |
| Llengua: | Anglès |
| Document: | Article ; recerca ; Versió acceptada per publicar |
| Matèria: | Liénard piecewise linear differential systems ; Limit cycles ; Nonlinear control systems ; Periodic orbit |
| Publicat a: | Journal of Nonlinear Science, Vol. 25 Núm. 4 (2015) , p. 861-887, ISSN 1432-1467 |
24 p, 428.2 KB |
