|
Título:
|
Continua of periodic points for planar integrable rational maps
|
|
Autor/a:
|
Gasull Embid, Armengol; Llorens, Mireia; Mañosa Fernández, Víctor
|
|
Otros autores:
|
Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions |
|
Abstract:
|
We present three alternative methodologies to find continua of periodic points with a prescribed period for rational maps having rational first integrals. The first two have been already used by other authors and apply when the maps are birational and the generic level sets of the corresponding first integrals have either genus 0 or 1. As far as we know, the third one is new and it works for rational maps without imposing topological properties to the invariant level sets. It is based on a computational point of view, and relies on the use of resultants in a suitable setting. We apply them to several examples, including the 2-periodic Lyness composition maps and some of the celebrated McMillan–Gumovski–Mira maps |
|
Abstract:
|
Peer Reviewed |
|
Materia(s):
|
-Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals
-Differentiable dynamical systems
-Differential equations
-Integrable rational maps
-Birational maps
-Periodic orbits
-Sistemes dinàmics diferenciables
-Equacions diferencials ordinàries
-Classificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory
-Classificació AMS::39 Difference and functional equations::39A Difference equations |
|
Derechos:
|
|
|
Tipo de documento:
|
Artículo - Versión publicada
Artículo |
|
Editor:
|
Research India Publications
|
|
Compartir:
|
|
