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Título:
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A Poincare Formula for the Fixed Point Indices of the Iterates of Arbitrary Planar Homeomorphisms
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Autores:
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Romero Ruiz del Portal, Francisco ;
Salazar, J. M.
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Tipo de documento:
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texto impreso
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Editorial:
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Hindawi Publishing Coporation, 2010
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Ecuaciones diferenciales
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Materia = Ciencias: Matemáticas: Topología
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Tipo = Artículo
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Resumen:
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Let U subset of R(2) be an open subset and f : U -> R(2) be an arbitrary local homeomorphism with Fix(f) = {p}. We compute the fixed point indices of the iterates of f at p, i(R2)(f(k), p), and we identify these indices in dynamical terms. Therefore, we obtain a sort of Poincare index formula without differentiability assumptions. Our techniques apply equally to both orientation preserving and orientation reversing homeomorphisms. We present some new results, especially in the orientation reversing case.
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En línea:
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https://eprints.ucm.es/id/eprint/18100/1/RomeroRuiz07.pdf
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