Fixed point indices of iterated smooth maps in arbitrary dimension

DOI10.1016/j.jde.2011.05.024zbMath1247.37020OpenAlexW1992956107MaRDI QIDQ635429

Piotr Nowak-Przygodzki, Jerzy Jezierski, Grzegorz Graff

Publication date: 19 August 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.05.024

zbMATH Keywords

fixed point indexCMPY conditionsDold's relations

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Fixed points and coincidences in algebraic topology (55M20) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (14)

Generalized Dold sequences on partially-ordered sets ⋮ Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set ⋮ A sufficient condition for the realizability of the least number of periodic points of a smooth map ⋮ Combinatorial scheme of finding minimal number of periodic points for smooth self-maps of simply connected manifolds ⋮ Self-maps of \(S^2\) homotopic to a smooth map with a single \(n\)-periodic point ⋮ Minimization of the number of periodic points for smooth self-maps of simply-connected manifolds with periodic sequence of Lefschetz numbers ⋮ The least number of 2-periodic points of a smooth self-map of \({S}^{2}\) of degree 2 equals 2 ⋮ Generating sequences of Lefschetz numbers of iterates ⋮ Computations of the least number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds ⋮ Minimal number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds ⋮ Estimation of the minimal number of periodic points for smooth self-maps of odd dimensional real projective spaces ⋮ Least number of periodic points of self-maps of Lie groups ⋮ Least number of \(n\)-periodic points of self-maps of \(PSU(2)\times PSU(2)\) ⋮ Dold sequences, periodic points, and dynamics

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