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| Página principal > Artículos > Artículos publicados > On the limit cycles of a class of piecewise linear differential systems in R^4 with two zones |
(Universidade Federal de Goias. Instituto de Matematica e Estatística) (Universitat Autònoma de Barcelona. Departament de Matemàtiques) (Universidade Federal de Goias. Instituto de Matematica e Estatística)| Fecha: | 2011 |
| Resumen: | We study the bifurcation of limit cycles from the periodic orbits of a four-dimensional center in a class of piecewise linear differential systems with two zones. Our main result shows that three is an upper bound for the number of limit cycles that bifurcate from a center, up to first order expansion of the displacement function. Moreover, this upper bound is reached. The main technique used is the averaging method. |
| Ayudas: | Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 |
| Nota: | Agraïments: The first author is partially supported by a FAPESP-BRAZIL grant 07/06896-5. The first and the third authors are partially supported by CNPq and CAPES. All authors are also supported by the joint project CAPES-MECD grant PHB-2009-0025-PC and AUXPE-DGU 15/2010. |
| Derechos: | Tots els drets reservats.  |
| Lengua: | Anglès |
| Documento: | Article ; recerca ; Versió acceptada per publicar |
| Materia: | Limit cycles ; Averaging theory ; Piecewise linear systems with two zones |
| Publicado en: | Mathematics and computers in simulation, Vol. 82 (2011) , p. 533-539, ISSN 0378-4754 |
7 p, 269.1 KB |
