2026-06-28T20:32:06Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/425362023-08-11T07:44:48Zcom_20.500.14352_14col_20.500.14352_15

A Poincare Formula for the Fixed Point Indices of the Iterates of Arbitrary Planar Homeomorphisms Romero Ruiz del Portal, Francisco Salazar, J. M. 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. 2023-06-20T00:24:56Z 2023-06-20T00:24:56Z 2023-06-20T00:24:56Z 2010 journal article https://hdl.handle.net/20.500.14352/42536 1687-1820 10.1155/2010/323069 eng MTM 2009-07030 open access Hindawi Publishing Coporation