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...

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Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 432; no. 1; pp. 531 - 549
Main Authors:	Llorens, Mireia, Mañosa, Víctor
Format:	Journal Article Publication
Language:	English
Published:	Elsevier Inc 01.12.2015
Subjects:	37 Dynamical systems and ergodic theory 37C Smooth dynamical systems: general theory 37E Low-dimensional dynamical systems 39 Difference and functional equations 39A Difference equations Classificació AMS Differentiable dynamical systems Equacions diferencials i integrals Foliacions (Matemàtica) Foliations (Mathematics) Integrable maps Lie symmetries Matemàtiques i estadística Periodic orbits Rational parameterizations Sistemes dinàmics diferenciables Àrees temàtiques de la UPC Integrable maps Periodic orbits Lie symmetries Rational parameterizations
ISSN:	0022-247X, 1096-0813
Online Access:	Get full text
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