Divergent diagrams of folds and simultaneous conjugacy of involutions
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Data
2005-04-01
Autores
Mancini, S.
Manoel, M.
Teixeira, M. A.
Título da Revista
ISSN da Revista
Título de Volume
Editor
Amer Inst Mathematical Sciences
Resumo
In this work we show that the smooth classification of divergent diagrams of folds (f(1),..., f(s)) : (R-n, 0) -> (R-n x(...)xR(n), 0) can be reduced to the classification of the s-tuples (p(1)., W) of associated involutions. We apply the result to obtain normal forms when s <= n and {p(1),...,p(s)} is a transversal set of linear involutions. A complete description is given when s = 2 and n >= 2. We also present a brief discussion on applications of our results to the study of discontinuous vector fields and discrete reversible dynamical systems.
Descrição
Palavras-chave
divergent diagram of folds, involution, singularities, normal form, discontinuous vector fields, reversible diffeomorphisms
Como citar
Discrete and Continuous Dynamical Systems. Springfield: Amer Inst Mathematical Sciences, v. 12, n. 4, p. 657-674, 2005.