Periodic points of latitudinal maps of the \(m\)-dimensional sphere

DOI10.3934/dcds.2016070zbMath1370.37045OpenAlexW2518130794WikidataQ63998540 ScholiaQ63998540MaRDI QIDQ325239

Grzegorz Graff, Piotr Nowak-Przygodzki, Michał Misiurewicz

Publication date: 18 October 2016

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

Full work available at URL: https://doi.org/10.3934/dcds.2016070

zbMATH Keywords

spheretopological degreeperiodic pointsmooth maplatitudinal map

Mathematics Subject Classification ID

Degree, winding number (55M25) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (3)

Shub’s conjecture for smooth longitudinal maps of ⋮ Periodic points for sphere maps preserving monopole foliations ⋮ Infinite series in cohomology: attractors and Conley index

Cites Work

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• Fixed point indices of planar continuous maps
• Periodic points on the \(2\)-sphere
• A remark on the Lefschetz fixed point formula for differentiable maps
• Generic diffeomorphisms with superexponential growth of number of periodic orbits
• Periodic points of latitudinal sphere maps
• Lectures on Nielsen fixed point theory
• Dynamical systems, filtrations and entropy
• THE BEHAVIOR OF THE INDEX OF PERIODIC POINTS UNDER ITERATIONS OF A MAPPING
• On the growth of the number of periodic points for smooth self-maps of a compact manifold

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