On the growth of the number of periodic points for smooth self-maps of a compact manifold

DOI10.1090/S0002-9939-07-08836-3zbMath1274.37013OpenAlexW2011314245MaRDI QIDQ5295107

Jerzy Jezierski, Grzegorz Graff

Publication date: 27 July 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08836-3

zbMATH Keywords

Nielsen numberperiodic pointsindices of iterations

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 (3)

Periodic points of latitudinal maps of the \(m\)-dimensional sphere ⋮ Shub’s conjecture for smooth longitudinal maps of ⋮ Periodic points for sphere maps preserving monopole foliations

Cites Work

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• Fixed point indices of iterations of \(C^1\) maps in \(\mathbb R^3\)
• Fixed point indices of iterated maps
• A remark on the Lefschetz fixed point formula for differentiable maps
• Lectures on algebraic topology.
• Generic diffeomorphisms with superexponential growth of number of periodic orbits
• Wecken's theorem for periodic points in dimension at least 3

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