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https://hdl.handle.net/1822/39774| Título: | An algorithmic approach to estimating the minimal number of periodic points for smooth self-maps of simply-connected manifolds |
| Autor(es): | Graff, Grzegorz Pilarczyk, Pawel |
| Palavras-chave: | Periodic points Nielsen number Lefschetz number fixed point index smooth maps minimal number of periodic points |
| Data: | 2015 |
| Editora: | Nicolaus Copernicus University in Torun, Juliusz Schauder Centre for Nonlinear Studies |
| Revista: | Topological methods in nonlinear analysis |
| Citação: | 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. |
| Resumo(s): | 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/. |
| Tipo: | Artigo |
| URI: | https://hdl.handle.net/1822/39774 |
| ISSN: | 1230-3429 |
| Versão da editora: | The original publication is available at https://www.tmna.ncu.pl/static/published/2015/v45n1-14.pdf |
| Arbitragem científica: | yes |
| Acesso: | Acesso restrito UMinho |
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Ficheiros deste registo:
| Ficheiro | Descrição | Tamanho | Formato | |
|---|---|---|---|---|
| 2015tmna.pdf Acesso restrito! | preprint version | 303,78 kB | Adobe PDF | Ver/Abrir |
