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http://acervodigital.unesp.br/handle/11449/128859- Título:
- On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line
- Universidade Estadual Paulista (UNESP)
- Univ Autonoma Barcelona
- 0022-247X
- Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
- MCYT/FEDER
- AGAUR
- ICREA Academia
- 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
- 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.
- 1-Abr-2015
- Journal Of Mathematical Analysis And Applications. San Diego: Academic Press Inc Elsevier Science, v. 424, n. 1, p. 475-486, 2015.
- 475-486
- Elsevier B.V.
- Non-smooth differential system
- Limit cycle
- Piecewise linear differential system
- http://www.sciencedirect.com/science/article/pii/S0022247X14010154
- Acesso restrito
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- http://repositorio.unesp.br/handle/11449/128859
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