On the Lefschetz zeta function for quasi-unipotent maps on then-dimensional torus

DOI10.1080/10236198.2013.872637zbMath1305.37021OpenAlexW2015952697MaRDI QIDQ5168652

Victor F. Sirvent, Pedro Berrizbeitia

Publication date: 18 July 2014

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

Full work available at URL: https://doi.org/10.1080/10236198.2013.872637

zbMATH Keywords

periodic pointMorse-Smale diffeomorphismsLefschetz zeta functioncyclotomic polynomialquasi-unipotent mapminimal set of Lefschetz periods

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) Cyclotomy (11T22) Morse-Smale systems (37D15)

Related Items (4)

On the Lefschetz zeta function for quasi-unipotent maps on the \(n\)-dimensional torus. II: The general case. ⋮ On the Lefschetz zeta function for a class of toral maps ⋮ On the Lefschetz zeta function and the minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms on products of \(\ell\)-spheres ⋮ On topological entropy, Lefschetz numbers and Lefschetz zeta functions

Cites Work

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• Minimal Lefschetz sets of periods for Morse–Smale diffeomorphisms on then-dimensional torus
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• Period Three Implies Chaos
• Periodic points of holomorphic maps via Lefschetz numbers
• THE BEHAVIOR OF THE INDEX OF PERIODIC POINTS UNDER ITERATIONS OF A MAPPING
• Minimal sets of periods for Morse–Smale diffeomorphisms on non-orientable compact surfaces without boundary

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