Fixed point indices of planar continuous maps

DOI10.3934/dcds.2015.35.2979zbMath1366.37033arXiv1605.08716OpenAlexW3099467678MaRDI QIDQ255391

Luis Hernández-Corbato, Francisco Romero Ruiz del Portal

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.08716

zbMATH Keywords

Conley indexfixed point indexsurface homeomorphismsisolating blocksLefschetz zeta function

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Index theory for dynamical systems, Morse-Conley indices (37B30) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items

Generalized Dold sequences on partially-ordered sets, Periodic points of latitudinal maps of the \(m\)-dimensional sphere, Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set, Shub’s conjecture for smooth longitudinal maps of, On the growth rate inequality for periodic points in the two sphere, Sphere branched coverings and the growth rate inequality, Periodic expansion in determining minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms, Periodic points for sphere maps preserving monopole foliations, Infinite series in cohomology: attractors and Conley index, Dold sequences, periodic points, and dynamics

Cites Work

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• About the homological discrete Conley index of isolated invariant acyclic continua
• Periodic points on the \(2\)-sphere
• Isolating blocks and epsilon chains for maps
• Fixed point indices of iterated maps
• A remark on the Lefschetz fixed point formula for differentiable maps
• The Conley index and non-existence of minimal homeomorphisms
• An index theorem for the homeomorphisms of the plane near a fixed point
• Fixed point index of iterations of local homeomorphisms of the plane: a Conley index approach
• A fixed point theorem for bounded dynamical systems
• Fixed point indices of iterations of planar homeomorphisms
• Local fixed point indices of iterations of planar maps
• Indices of the iterates of ℝ³ -homeomorphisms at fixed points which are isolated invariant sets
• Some Smooth Maps with Infinitely Many Hyperbolic Peridoic Points
• On the Fixed Point Index of Iterates of Planar Homeomorphisms
• Dynamique des homéomorphismes du plan au voisinage d'un point fixe
• THE BEHAVIOR OF THE INDEX OF PERIODIC POINTS UNDER ITERATIONS OF A MAPPING
• Shift equivalence and the Conley index