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Periodic orbits of planar integrable birational maps

Autor
Mañosa, V.
Tipus d'activitat
Document cientificotècnic
Data
2013-09-03
Projecte finançador
Analysis and Identification of hysteresis systems using periodic orbits, DPI2011-25822
CONTROL, DINÀMICA I APLICACIONS (CODALAB)
Repositori
http://upcommons.upc.edu/e-prints/handle/2117/20107 Obrir en finestra nova
URL
http://www.ma3.upc.edu/users/manosa/Victor-NoMa13-Extended.pdf Obrir en finestra nova
Resum
A birational planar map F possessing a rational first integral, preserves a foliation of the plane given by algebraic curves which, in the case that F is not globally periodic, generically is given by a foliation of conics or elliptic curves. In the latter case, the group structure of the elliptic foliation characterizes the dynamics of any birational map preserving it. We will see how to take advantage of this structure for searching periodic orbits of such maps. Conferència convidada al con...
Citació
Mañosa, V. "Periodic orbits of planar integrable birational maps". 2013.
Paraules clau
Periodic Orbits, Birational Maps, Integrability, Nonlinear Dynamics, Elliptic Curves.
Grup de recerca
CoDAlab - Control, Modelització, Identificació i Aplicacions

Participants

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