General form of fixed point indices of an iteratedC1map and infiniteness of minimal periods

DOI10.1080/14689360802413929zbMath1161.37024OpenAlexW1971008041MaRDI QIDQ3548768

Grzegorz Graff, Piotr Nowak-Przygodzki

Publication date: 17 December 2008

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360802413929

zbMATH Keywords

fixed point indexperiodic pointsiterations\(C^1\) maps

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (2)

Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set ⋮ Dynamics of field line mappings in magnetic flux tubes

Cites Work

• Fixed point indices of iterated maps
• Fixed point theory. Proceedings of a Conference Held at Sherbrooke, Quebec, Canada, June 2-21, 1980
• A remark on the Lefschetz fixed point formula for differentiable maps
• Finding periodic points of a map by use of a \(k\)-adic expansion
• Existence of \(\delta_m\)-periodic points for smooth maps of compact manifold
• Algebraic periods of self-maps of a rational exterior space of rank 2
• A symmetry of sphere map implies its chaos
• Periodic points of holomorphic maps via Lefschetz numbers
• THE BEHAVIOR OF THE INDEX OF PERIODIC POINTS UNDER ITERATIONS OF A MAPPING
• Periodic orbits of transversal maps
• Periods for Transversal Maps Via Lefschetz Numbers for Periodic Points
• Indices of iterations and periodic points of simplicial maps of smooth type.

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