Periodic expansion in determining minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms

DOI10.1007/s11784-019-0680-4zbMath1431.37033OpenAlexW2921783370WikidataQ128228020 ScholiaQ128228020MaRDI QIDQ2000700

Małgorzata Lebiedź, Adrian Myszkowski, Grzegorz Graff

Publication date: 28 June 2019

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

Full work available at URL: https://doi.org/10.1007/s11784-019-0680-4

zbMATH Keywords

zeta functionperiodic expansionLefschetz numberMorse-Smale diffeomorphismset of periodsnonorientable compact surfaces

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) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Morse-Smale systems (37D15)

Related Items

On the Lefschetz zeta function for a class of toral maps, Periods of Morse-Smale diffeomorphisms on \(\mathbb{S}^n, \mathbb{S}^m \times \mathbb{S}^n, \mathbb{C}\mathbf{P}^n\) and \(\mathbb{H}\mathbf{P}^n\), Dold sequences, periodic points, and dynamics

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