On the number of critical periods for planar polynomial systems
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
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Data(s) |
20/05/2014
20/05/2014
01/10/2008
|
Resumo |
In this paper we get some lower bounds for the number of critical periods of families of centers which are perturbations of the linear one. We give a method which lets us prove that there are planar polynomial centers of degree l with at least 2[(l - 2)/2] critical periods as well as study concrete families of potential, reversible and Lienard centers. This last case is studied in more detail and we prove that the number of critical periods obtained with our approach does not. increases with the order of the perturbation. (C) 2007 Elsevier Ltd. All rights reserved. |
Formato |
1889-1903 |
Identificador |
http://dx.doi.org/10.1016/j.na.2007.07.031 Nonlinear Analysis-theory Methods & Applications. Oxford: Pergamon-Elsevier B.V. Ltd, v. 69, n. 7, p. 1889-1903, 2008. 0362-546X http://hdl.handle.net/11449/42286 10.1016/j.na.2007.07.031 WOS:000258359300001 |
Idioma(s) |
eng |
Publicador |
Pergamon-Elsevier B.V. Ltd |
Relação |
Nonlinear Analysis-theory Methods & Applications |
Direitos |
closedAccess |
Palavras-Chave | #period function #critical periods #perturbations #potential systems #reversible centers #Hamiltonian centers #Lienard centers |
Tipo |
info:eu-repo/semantics/article |