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Pàgina inicial > Articles > Articles publicats > Lie symmetries of birational maps preserving genus 0 fibrations |
Data: | 2015 |
Resum: | 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. |
Ajuts: | Ministerio de Economía y Competitividad DPI2011-25822 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-859 |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Integrable maps ; Lie symmetries ; Periodic orbit ; Rational parameterizations |
Publicat a: | Journal of mathematical analysis and applications, Vol. 432 (2015) , p. 531-549, ISSN 1096-0813 |
Postprint 24 p, 424.0 KB |