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Type: Artigo de periódico
Author: Mereu, AC
Teixeira, MA
Abstract: We study the dynamics near an equilibrium point of a 2-parameter family of a reversible system in R-6. In particular, we exhibit conditions for the existence of periodic orbits near the equilibrium of systems having the form x((vi)) + lambda(1)x((iv)) + lambda(2)x ' + x = f(x, x', x ', x', x((iv)), x((v))). The techniques used are Belitskii normal form combined with Lyapunov-Schmidt reduction.
Subject: Periodic orbits
reversible systems
normal form
Lyapunov center theorem
Country: EUA
Editor: Amer Inst Mathematical Sciences
Citation: Discrete And Continuous Dynamical Systems. Amer Inst Mathematical Sciences, v. 33, n. 3, n. 1177, n. 1199, 2013.
Rights: aberto
Identifier DOI: 10.3934/dcds.2013.33.1177
Date Issue: 2013
Appears in Collections:Unicamp - Artigos e Outros Documentos

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