On the limit cycles of a class of piecewise linear differential systems in R-4 with two zones

Buzzi, C. A.; Llibre, J.; Medrado, J. C.

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/40298

Title:

On the limit cycles of a class of piecewise linear differential systems in R-4 with two zones

Author(s):

Institution:

Univ Autonoma Barcelona
Universidade Estadual Paulista (UNESP)
Universidade Federal de Goiás (UFG)

ISSN:

0378-4754

Sponsorship:

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
MICIIN
AGAUR
ICREA Academia
AUXPE-DGU

Sponsorship Process Number:

FAPESP: 07/06896-5
MICIIN: MTM2008-03437
AGAUR: 2009SGR 410
CAPES: PHB-2009-0025-PC
AUXPE-DGU: 15/2010

Abstract:

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. (C) 2011 IMACS. Published by Elsevier B.V. All rights reserved.

Issue Date:

1-Dec-2011

Citation:

Mathematics and Computers In Simulation. Amsterdam: Elsevier B.V., v. 82, n. 4, p. 533-539, 2011.

Time Duration:

533-539

Publisher:

Elsevier B.V.

Keywords:

Limit cycles
Averaging theory
Piecewise linear systems with two zones

Source:

http://dx.doi.org/10.1016/j.matcom.2011.08.006

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/40298

Artigos, TCCs, Teses e Dissertações da Unesp

There are no files associated with this item.

Show full item record View Statistics