Publicação: Divergent diagrams of folds and simultaneous conjugacy of involutions
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Amer Inst Mathematical Sciences
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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.
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divergent diagram of folds, involution, singularities, normal form, discontinuous vector fields, reversible diffeomorphisms
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Inglês
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Discrete and Continuous Dynamical Systems. Springfield: Amer Inst Mathematical Sciences, v. 12, n. 4, p. 657-674, 2005.
