Seminari di Sistemi Dinamici e Olomorfi 2010-2011

seminar: Generic hyperbolic properties of classical systems on the torus T²

speaker: Jean-Pierre Marco (IMJ-PRG Université Paris 6)

abstract: One main problem in proving the existence of long diffusion orbits for perturbations of integrable systems in action-angle form is to understand the structure of generic classical systems on the torus T² (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.

timetable:
Wed 8 Jun, 14:00 - 15:00, Sala Conferenze Centro De Giorgi
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