Lie symmetries of birational maps preserving genus 0 fibrations
Llorens, Mireia (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III)

Date:	2015
Abstract:	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.
Grants:	Ministerio de Economía y Competitividad DPI2011-25822 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-859
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Integrable maps ; Lie symmetries ; Periodic orbit ; Rational parameterizations
Published in:	Journal of mathematical analysis and applications, Vol. 432 (2015) , p. 531-549, ISSN 1096-0813

DOI: 10.1016/j.jmaa.2015.06.069

Postprint 24 p, 424.0 KB

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