On the set of periods for the Morse–Smale diffeomorphisms on the disc withNholes

DOI10.1080/10236198.2012.722630zbMath1315.58004OpenAlexW2059096840MaRDI QIDQ2846797

Jaume Llibre, Juan Luis García Guirao

Publication date: 3 September 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2012.722630

zbMATH Keywords

periodic pointLefschetz numberMorse-Smale diffeomorphismdisc with \(n\) holesminimal set of Lefschetz period

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Homotopy and topological questions for infinite-dimensional manifolds (58B05) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Morse-Smale systems (37D15)

Related Items (5)

Cyclotomic polynomials and minimal sets of Lefschetz periods ⋮ On the Lefschetz zeta function for a class of toral maps ⋮ Minimal Lefschetz sets of periods for Morse–Smale diffeomorphisms on then-dimensional torus ⋮ Minimal sets of periods for Morse–Smale diffeomorphisms on non-orientable compact surfaces without boundary ⋮ Periodic expansion in determining minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms

Cites Work

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• Differential Topology
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• THE BEHAVIOR OF THE INDEX OF PERIODIC POINTS UNDER ITERATIONS OF A MAPPING
• Periods of Morse–Smale diffeomorphisms of S²
• Differentiable dynamical systems

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