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....
| Autor: | |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 1985 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/64897 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/64897 |
| Access Level: | acceso abierto |
| Palabra clave: | 537 Electricidad Electrónica (Física) 2202.03 Electricidad |
| Sumario: | 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. |
|---|