Title:
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Periodic orbits of planar integrable birational maps
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Author:
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Gálvez Carrillo, Maria Immaculada; Mañosa Fernández, Víctor
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions; Universitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions |
Abstract:
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A birational planar map F possessing a rational first integral preserves a
foliation of the plane given by algebraic curves which, if F is not globally periodic,
is given by a foliation of curves that have generically genus 0 or 1. In the genus 1
case, the group structure of the foliation characterizes the dynamics of any birational
map preserving it. We will see how to take advantage of this structure to find periodic
orbits of such maps. |
Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria algebraica -Geometry, Algebraic -Discrete dynamical systems -Algebraic geometry -Birational maps -Integrable maps -Elliptic curves -Periodic orbits. -Geometria algebraica -Sistemes no lineals -Classificació AMS::14 Algebraic geometry |
Rights:
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Document type:
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Article - Draft Report |
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