Journal
PHYSICA D-NONLINEAR PHENOMENA
Volume 353, Issue -, Pages 1-10Publisher
ELSEVIER
DOI: 10.1016/j.physd.2017.05.003
Keywords
Periodic solution; Averaging method; Nonsmooth differential system; Piecewise smooth differential system
Categories
Funding
- MINECO-FEDER [MTM2016-77278-P]
- MINECO [MTM2013-40998-P]
- AGAUR [2014SGR-568]
- FAPESP [2015/02517-6, 2015/24841-0, 2016/11471-2]
- European Community [FP7-PEOPLE-2012-IRSES-316338, FP7-PEOPLE-2012-IRSES-318999]
- CAPES [CSF-PVE-88887]
- CAPES-MECD [PHB-2009-0025-PC]
- CAPES
- Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP) [16/11471-2] Funding Source: FAPESP
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This work is devoted to study the existence of periodic solutions for a class of s-family of discontinuous differential systems with many zones. We show that the averaged functions at any order control the existence of crossing limit cycles for systems in this class. We also provide some examples dealing with nonsmooth perturbations of nonlinear centers. (C) 2017 Elsevier B.V. All rights reserved.
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