An algorithmic approach to estimating the minimal number of periodic points for smooth self-maps of simply-connected manifolds
| Data(s) |
2015
|
|---|---|
| Resumo |
For a given self-map f of M, a closed smooth connected and simply-connected manifold of dimension m ≥ 4, we provide an algorithm for estimating the values of the topological invariant Dm r [f], which equals the minimal number of r-periodic points in the smooth homotopy class of f. Our results are based on the combinatorial scheme for computing Dm r [f] introduced by G. Graff and J. Jezierski [J. Fixed Point Theory Appl. 13 (2013), 63–84]. An open-source implementation of the algorithm programmed in C++ is publicly available at http://www.pawelpilarczyk.com/combtop/. Fundação para a Ciência e Tecnologia (FCT) |
| Identificador |
Graff, G., & Pilarczyk, P. (2015). An algorithmic approach to estimating the minimal number of periodic points for smooth self-maps of simply-connected manifolds. Topological Methods in Nonlinear Analysis, 45(1), 273-286. 1230-3429 |
| Idioma(s) |
eng |
| Relação |
The original publication is available at https://www.tmna.ncu.pl/static/published/2015/v45n1-14.pdf |
| Direitos |
info:eu-repo/semantics/restrictedAccess |
| Palavras-Chave | #Periodic points #Nielsen number #Lefschetz number #fixed point index #smooth maps #minimal number of periodic points |
| Tipo |
info:eu-repo/semantics/article |
