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.


Copy of the file:

rp03-09.pdf (PDF)

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January 22, 2009

 

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