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https://hdl.handle.net/1822/21112| Título: | Combinatorial-topological framework for the analysis of global dynamics |
| Autor(es): | Bush, Justin Gameiro, Marcio Harker, Shaun Kokubu, Hiroshi Mischaikow, Konstantin Obayashi, Ippei Pilarczyk, Pawel |
| Palavras-chave: | Dynamical system Morse decomposition Conley index Grid decomposition Graph algorithms Rigorous numerics |
| Data: | 26-Abr-2012 |
| Editora: | AIP Publishing |
| Revista: | Chaos |
| Resumo(s): | We discuss an algorithmic framework based on e cient graph algorithms and algebraic-topological computational tools. The framework is aimed at automatic computation of a database of global dynamics of a given m-parameter semidynamical system with discrete time on a bounded subset of the n-dimensional phase space. We introduce the mathematical background, which is based upon Conley's topological approach to dynamics, describe the algorithms for the analysis of the dynamics using rectangular grids both in phase space and parameter space, and show two sample applications. |
| Tipo: | Artigo |
| URI: | https://hdl.handle.net/1822/21112 |
| DOI: | 10.1063/1.4767672 |
| ISSN: | 1054-1500 (print) 1089-7682 (online) |
| Arbitragem científica: | yes |
| Acesso: | Acesso restrito UMinho |
| Aparece nas coleções: |
Ficheiros deste registo:
| Ficheiro | Descrição | Tamanho | Formato | |
|---|---|---|---|---|
| 2012data.pdf Acesso restrito! | Main article | 2,79 MB | Adobe PDF | Ver/Abrir |
