Lie symmetries of birational maps preserving genus 0 fibrations
We prove that any planar birational integrable map, which preserves a fibration given by genus 0 curves has a Lie symmetry and some associated invariant measures. The obtained results allow to study in a systematic way the global dynamics of these maps. Using this approach, the dynamics of several m...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:145297 |
| Acceso en línea: | https://ddd.uab.cat/record/145297 https://dx.doi.org/urn:doi:10.1016/j.jmaa.2015.06.069 |
| Access Level: | acceso abierto |
| Palabra clave: | Integrable maps Lie symmetries Periodic orbit Rational parameterizations |
| Sumario: | We prove that any planar birational integrable map, which preserves a fibration given by genus 0 curves has a Lie symmetry and some associated invariant measures. The obtained results allow to study in a systematic way the global dynamics of these maps. Using this approach, the dynamics of several maps is described. In particular we are able to give, for particular examples, the explicit expression of the rotation number function, and the set of periods of the considered maps. |
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