# American Institute of Mathematical Sciences

March  2014, 13(2): 703-713. doi: 10.3934/cpaa.2014.13.703

## Formal equivalence between normal forms of reversible and hamiltonian dynamical systems

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

Received  March 2013 Revised  August 2013 Published  October 2013

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.
Citation: Ricardo Miranda Martins. Formal equivalence between normal forms of reversible and hamiltonian dynamical systems. Communications on Pure & Applied Analysis, 2014, 13 (2) : 703-713. doi: 10.3934/cpaa.2014.13.703
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