On the birth of limit cycles for non-smooth dynamical systems
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Novaes, Douglas D. (Universidade Estadual de Campinas (Brazil). Departamento de Matemática)
Teixeira, Marco Antonio (Universidade Estadual de Campinas (Brazil). Departamento de Matemática)

Data:	2015
Resum:	The main objective of this work is to develop, via Brower degree theory and regularization theory, a variation of the classical averaging method for detecting limit cycles of certain piecewise continuous dynamical systems. In fact, overall result are presented to ensure the existence of limit cycles of such systems. These result may represent new insights in averaging, in particular its relation with non smooth dynamical systems theory. An application is presented in careful detail.
Ajuts:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-586 European Commission 316338 European Commission 318999
Nota:	Agraïments: The first author is partially supported by a FEDER-UNAB10-4E-378. The second author is partially supported by a FAPESP-BRAZIL grant 2013/16492-0. The second and third authors are partially supported by a FAPESP-BRAZIL grant 2012/18780-0. The three authors are also supported by a CAPES CSF-PVE grant 88881.030454/2013-01.
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Matèria:	Averaging theory ; Discontinuous differential system ; Periodic solutions
Publicat a:	Bulletin des Sciences Mathematiques, Vol. 139 (2015) , p. 229-244, ISSN 0007-4497

DOI: 10.1016/j.bulsci.2014.08.011

Postprint 15 p, 433.8 KB

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