2026-06-27T23:51:17Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/503452023-08-11T07:45:29Zcom_20.500.14352_14col_20.500.14352_15

Romero Ruiz del Portal, Francisco Salazar, J. M. 2023-06-20T09:46:46Z 2023-06-20T09:46:46Z 2004 0166-8641 10.1016/j.topol.2003.12.013 https://hdl.handle.net/20.500.14352/50345 http://www.sciencedirect.com/science/journal/01668641 http://www.sciencedirect.com 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. eng restricted access Fixed point index and decompositions of planar invariant compacta journal article