| dc.contributor | Universidade Estadual Paulista (UNESP) | |
| dc.creator | Cardin, Pedro Toniol | |
| dc.creator | de Carvalho, Tiago | |
| dc.creator | Llibre, Jaume | |
| dc.date | 2014-05-20T13:30:39Z | |
| dc.date | 2016-10-25T16:49:40Z | |
| dc.date | 2014-05-20T13:30:39Z | |
| dc.date | 2016-10-25T16:49:40Z | |
| dc.date | 2012-01-01 | |
| dc.date.accessioned | 2017-04-05T20:17:14Z | |
| dc.date.available | 2017-04-05T20:17:14Z | |
| dc.identifier | Nonlinear Analysis-theory Methods & Applications. Oxford: Pergamon-Elsevier B.V. Ltd, v. 75, n. 1, p. 143-152, 2012. | |
| dc.identifier | 0362-546X | |
| dc.identifier | http://hdl.handle.net/11449/10403 | |
| dc.identifier | http://acervodigital.unesp.br/handle/11449/10403 | |
| dc.identifier | 10.1016/j.na.2011.08.013 | |
| dc.identifier | WOS:000296490000014 | |
| dc.identifier | http://dx.doi.org/10.1016/j.na.2011.08.013 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/858356 | |
| dc.description | Let n be an even integer. We study the bifurcation of limit cycles from the periodic orbits of the n-dimensional linear center given by the differential system<(x)over dot>(1) = -x(2), <(x)over dot>(2) = x(1), ... , <(x)over dot>(n-1) = -x(n), <(x)over dot>(n) = x(n-1),perturbed inside a class of piecewise linear differential systems. Our main result shows that at most (4n - 6)(n/2-1) limit cycles can bifurcate up to first-order expansion of the displacement function with respect to a small parameter. For proving this result we use the averaging theory in a form where the differentiability of the system is not needed. (C) 2011 Elsevier Ltd. All rights reserved. | |
| dc.description | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.language | eng | |
| dc.publisher | Pergamon-Elsevier B.V. Ltd | |
| dc.relation | Nonlinear Analysis-theory Methods & Applications | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.subject | Limit cycles | |
| dc.subject | Bifurcation | |
| dc.subject | Control systems | |
| dc.subject | Averaging method | |
| dc.subject | Piecewise linear differential systems | |
| dc.subject | Center | |
| dc.title | Bifurcation of limit cycles from an n-dimensional linear center inside a class of piecewise linear differential systems | |
| dc.type | Otro | |
