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Título:
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Fixed point index and decompositions of planar invariant compacta
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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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Elsevier Science, 2004
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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/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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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 c R2 be an open subset and let f :U ? f (U) c R2 be a homeomorphism. Let M = M1 U· · ·U Mr C U be a disjoint union of discs that isolates the invariant compactum K. The aimof this paper is to study the dynamics of f in K and to use the fixed point index to detect, in a simple and geometric way, the existence of periodic orbits on which f follows a determined pattern. Our method allows us to compute the fixed point index of every iteration of f in a neighborhood of the periodic orbits following a given itinerary in classical and important semidynamical systems with chaotic dynamics.
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En línea:
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https://eprints.ucm.es/id/eprint/19875/1/RomeroRuiz13.pdf
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