| dc.contributor | Universidade Estadual Paulista (UNESP) | |
| dc.creator | Buzzi, Claudio A. | |
| dc.creator | Carvalho, Tiago de | |
| dc.creator | Teixeira, Marco A. | |
| dc.date | 2014-12-03T13:08:52Z | |
| dc.date | 2016-10-25T20:09:26Z | |
| dc.date | 2014-12-03T13:08:52Z | |
| dc.date | 2016-10-25T20:09:26Z | |
| dc.date | 2014-07-01 | |
| dc.date.accessioned | 2017-04-06T06:15:15Z | |
| dc.date.available | 2017-04-06T06:15:15Z | |
| dc.identifier | Journal De Mathematiques Pures Et Appliquees. Paris: Gauthier-villars/editions Elsevier, v. 102, n. 1, p. 36-47, 2014. | |
| dc.identifier | 0021-7824 | |
| dc.identifier | http://hdl.handle.net/11449/111661 | |
| dc.identifier | http://acervodigital.unesp.br/handle/11449/111661 | |
| dc.identifier | 10.1016/j.matpur.2013.10.013 | |
| dc.identifier | WOS:000337850900002 | |
| dc.identifier | http://dx.doi.org/10.1016/j.matpur.2013.10.013 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/922435 | |
| dc.description | This paper is concerned with a codimension analysis of a two-fold singularity of piecewise smooth planar vector fields, when it behaves itself like a center of smooth vector fields (also called nondegenerate Sigma-center). We prove that any nondegenerate Sigma-center is Sigma-equivalent to a particular normal form Z(0). Given a positive integer number k we explicitly construct families of piecewise smooth vector fields emerging from Z(0) that have k hyperbolic limit cycles bifurcating from the nondegenerate Sigma-center of Z(0) (the same holds for k = infinity). Moreover, we also exhibit families of piecewise smooth vector fields of codimension k emerging from Z(0). As a consequence we prove that Z(0) has infinite codimension. (c) 2013 Elsevier Masson SAS. All rights reserved. | |
| dc.description | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.language | eng | |
| dc.publisher | Elsevier B.V. | |
| dc.relation | Journal De Mathematiques Pures Et Appliquees | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.subject | Nonsmooth vector field | |
| dc.subject | Bifurcation | |
| dc.subject | Limit cycles | |
| dc.subject | Centers | |
| dc.title | Birth of limit cycles bifurcating from a nonsmooth center | |
| dc.type | Otro | |
