On Lefschetz periodic point free self-maps

DOI10.1007/s11784-018-0498-5zbMath1385.37025OpenAlexW2789630589MaRDI QIDQ1742558

Jaume Llibre, Victor F. Sirvent

Publication date: 11 April 2018

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/199348

zbMATH Keywords

periodic pointLefschetz numberLefschetz zeta function

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Combinatorial dynamics (types of periodic orbits) (37E15) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (6)

A criterion for the existence of periodic points based on the eigenvalues of maps induced in cohomology ⋮ On partially periodic point free self-maps on the wedge sums of spheres ⋮ Partially periodic point free self-maps on product of spheres and Lie groups ⋮ Degenerate Chenciner Bifurcation Revisited ⋮ Periodic structure of transversal maps on sum-free products of spheres ⋮ On topological entropy, Lefschetz numbers and Lefschetz zeta functions

Cites Work

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• A sufficient condition for the realizability of the least number of periodic points of a smooth map
• Periodic point free continuous self-maps on graphs and surfaces
• Lefschetz periodic point free self-maps of compact manifolds
• On the Lefschetz periodic point free continuous self-maps on connected compact manifolds
• Minimal sets of periods for torus maps
• Partially periodic point free self-maps on surfaces, graphs, wedge sums and products of spheres
• Nielsen Numbers of Maps of Tori

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