The weak-Painlevé property as a criterion for the integrability of dynamical-systems
We investigate the validity of the weak-Painlevé property as an integrability criterion. We present an example of a time-dependent Hamiltonian system which possesses a weak-Painlevé type expansion, while presenting a chaotic behavior. However, this system presents also critical fixed singularities....
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| Tipo de documento: | artigo |
| Data de publicação: | 1985 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositório: | Docta Complutense |
| Idioma: | inglês |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/64897 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/64897 |
| Access Level: | Acceso aberto |
| Palavra-chave: | 537 Electricidad Electrónica (Física) 2202.03 Electricidad |
| Resumo: | We investigate the validity of the weak-Painlevé property as an integrability criterion. We present an example of a time-dependent Hamiltonian system which possesses a weak-Painlevé type expansion, while presenting a chaotic behavior. However, this system presents also critical fixed singularities. The importance of the latter, as far as integrability is concerned, is discussed here. |
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