Minimization of the number of periodic points for smooth self-maps of simply-connected manifolds with periodic sequence of Lefschetz numbers
DOI10.2478/s11533-012-0122-7zbMath1417.37095OpenAlexW2136060951MaRDI QIDQ1935658
Agnieszka Kaczkowska, Grzegorz Graff
Publication date: 18 February 2013
Published in: Central European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/s11533-012-0122-7
Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) 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)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Combinatorial scheme of finding minimal number of periodic points for smooth self-maps of simply connected manifolds
- Lefschetz periodic point free self-maps of compact manifolds
- Minimizing the number of periodic points for smooth maps. Non-simply connected case
- Fixed point indices of iterated smooth maps in arbitrary dimension
- Lefschetz sequences and detecting periodic points
- The Euler-Poincaré characteristic of index maps
- Minimization of the number of periodic points for smooth self-maps of closed simply-connected 4-manifolds
- Wecken's theorem for periodic points in dimension at least 3
- Dynamical constraints from field line topology in magnetic flux tubes
- Reducing the number of periodic points in the smooth homotopy class of a self-map of a simply-connected manifold with periodic sequence of Lefschetz numbers
- Handbook of Number Theory I
- Periodic segment implies infinitely many periodic solutions
- Minimal number of periodic points for C 1 self-maps of compact simply-connected manifolds
- Lectures on Nielsen fixed point theory
This page was built for publication: Minimization of the number of periodic points for smooth self-maps of simply-connected manifolds with periodic sequence of Lefschetz numbers
