Fixed point indices of iterations of planar homeomorphisms

DOI10.12775/TMNA.2003.033zbMath1051.37010OpenAlexW2548930981MaRDI QIDQ1876358

Piotr Nowak-Przygodzki, Grzegorz Graff

Publication date: 6 September 2004

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2003.033

zbMATH Keywords

fixed-point indexiteratesDold relationshomeomorphism of the plane

Mathematics Subject Classification ID

Degree, winding number (55M25) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (7)

Generalized Dold sequences on partially-ordered sets ⋮ Isolating blocks of isolated invariant continua and fixed point index ⋮ Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set ⋮ Fixed point indices of iterated smooth maps in arbitrary dimension ⋮ Periodic points of the planar area preserving Poincaré map inside isolating segment ⋮ Dold sequences, periodic points, and dynamics ⋮ Fixed point indices of planar continuous maps

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