Relatório de pesquisa 03/09
Classification of Reversible-Equivariant Vector Fields in 4D with Applications to Normal Forms and First Integrals, Ricardo M. Martins and Marco A. Teixeira, submitted January 22, 2009.
Abstract
This paper uses tools in group theory and symbolic computing to
give a classification of the representations of finite groups
with order lower than 9 that can be derived from the study of local
reversible-equivariant vector fields in $\rn{4}$. Based on such
approach we exhibit, for each element in this class of dynamical
systems, a simplified Belitiskii normal form and establish conditions
for the existence of first integrals.
Mathematics Subject Classifications
(2000): 37C80, 34C20, 20C30
Keywords: reversible-equivariant systems, normal forms, integrable systems.
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January 22, 2009
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