Formal equivalence between normal forms of reversible and hamiltonian dynamical systems

Ricardo Miranda Martins

doi:10.3934/cpaa.2014.13.703

Article Contents

2014, Volume 13, Issue 2: 703-713. Doi: 10.3934/cpaa.2014.13.703

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Formal equivalence between normal forms of reversible and hamiltonian dynamical systems

Ricardo Miranda Martins^1,

1.
Instituto de Matemática, Estatística e Computação Cientíﬁca, Universidade Estadual de Campinas, 13083–859 Campinas, SP

Received: March 2013

Revised: August 2013

Published: March 2014

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Abstract

We show the existence of formal equivalences between $2n$-dimensional reversible and Hamiltonian vector fields. The main tool we employ is the normal form theory.

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Mathematics Subject Classification: Primary: 34C14, 34C20; Secondary: 37J15, 37J40.

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