Minimal number of periodic points for smooth self-maps of two-holed 3-dimensional closed ball

DOI10.12775/TMNA.2009.009zbMath1186.37029OpenAlexW2475089414MaRDI QIDQ1029925

Grzegorz Graff

Publication date: 14 July 2009

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2009.009

zbMATH Keywords

fixed point indexNielsen numberleast number of periodic pointssmooth maps

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Fixed points and coincidences in algebraic topology (55M20) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (8)

Generalized Dold sequences on partially-ordered sets ⋮ Combinatorial scheme of finding minimal number of periodic points for smooth self-maps of simply connected manifolds ⋮ Generating sequences of Lefschetz numbers of iterates ⋮ Computations of the least number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds ⋮ Periodic expansion in determining minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms ⋮ Estimation of the minimal number of periodic points for smooth self-maps of odd dimensional real projective spaces ⋮ Minimal number of periodic points for smooth self-maps of \(\mathbb {R}P^3\) ⋮ Dynamics of field line mappings in magnetic flux tubes

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