Fixed points of planar homeomorphisms of the form identity + contraction

DOI10.1216/rmjm/1194275936zbMath1133.37012OpenAlexW2042969740MaRDI QIDQ2478045

Grzegorz Graff, Piotr Nowak-Przygodzki

Publication date: 14 March 2008

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1194275936

zbMATH Keywords

periodic orbitfixed point indexwinding numberorientation-preserving homeomorphismsBrouwer's lemma on translation arcs

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) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items (1)

A strategy to locate fixed points and global perturbations of ODE's: mixing topology with metric conditions

Cites Work

• Stationary states for discrete dynamical systems in the plane
• On the Fixed Point Index of Iterates of Planar Homeomorphisms
• Fixed points for orientation preserving homeomorphisms of the plane which interchange two points
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