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Lie symmetries of birational maps preserving genus 0 fibrations

Autor
Llorens, M.; Mañosa, V.
Tipus d'activitat
Document cientificotècnic
Data
2015-02-13
Codi
arXiv:1502.03737 [math.DS]
Projecte finançador
An¿lisis e identificaci¿n de sistemas con hist¿resis usando ¿rbitas peri¿dicas
Control, din¿mica i aplicacions
Repositori
http://hdl.handle.net/2117/26449 Obrir en finestra nova
URL
http://arxiv.org/abs/1502.03737 Obrir en finestra nova
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.
Citació
Llorens, M.; Mañosa, V. "Lie symmetries of birational maps preserving genus 0 fibrations". 2015.
Paraules clau
Integrable Maps, Lie Symmetries, Periodic Orbits, Rational Parameterizations.
Grup de recerca
CoDAlab - Control, Dinàmica i Aplicacions

Participants

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