SEMINARI DI
SISTEMI DINAMICI OLOMORFI
Ore 14.00
Scuola Normale
Superiore
Pisa
(Sala Conferenze
Collegio Puteano)
Jean-Pierre
Marco
Paris
6
Terrà un
seminario dal titolo:
“Generic
hyperbolic properties of classical systems on the torus $T^2$”
Abstract:
One main problem in proving the existence of long diffusion orbitsfor
perturbations of integrable systems in action-angle form is to understand the
structure of generic classical systems on the torus $T^2$(this is the problem of
transition at double resonances). We will prove the existence in such systems of
chains of hyperbolic cylinders(one-parameter families of hyperbolic orbits)
which realize fixed homology classes in projection on $T^2$, and we will discuss
the problem of accumulation of such cylinders to homoclinic orbits of the
hyperbolic fixed point of generic classical
systems.
Tutti gli
interessati sono invitati a partecipare.
Classe
di Scienze