On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line

Euzebio, Rodrigo D.; Llibre, Jaume

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/128859

Title:

On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line

Author(s):

Institution:

Universidade Estadual Paulista (UNESP)
Univ Autonoma Barcelona

ISSN:

0022-247X

Sponsorship:

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
MCYT/FEDER
AGAUR
ICREA Academia

Sponsorship Process Number:

FAPESP: 2010/18015-6
FAPESP: 2012/05635-1
MCYT/FEDER: MTM2008-03437
AGAUR: 2014SGR-568
ICREA Academia: FP7-PEOPLE-2012-IRSES 316338
ICREA Academia: 318999
ICREA Academia: FEDER-UNAB10-4E-378

Abstract:

In this paper we study the maximum number N of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line. More precisely, we prove that this maximum number satisfies 2 <= N <= 4 if one of the two linear differential systems has its equilibrium point on the straight line of discontinuity. (C) 2014 Elsevier Inc. All rights reserved.

Issue Date:

1-Apr-2015

Citation:

Journal Of Mathematical Analysis And Applications. San Diego: Academic Press Inc Elsevier Science, v. 424, n. 1, p. 475-486, 2015.

Time Duration:

475-486

Publisher:

Elsevier B.V.

Keywords:

Non-smooth differential system
Limit cycle
Piecewise linear differential system

Source:

http://www.sciencedirect.com/science/article/pii/S0022247X14010154

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/128859

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