CRM: Centro De Giorgi
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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 T2, and we will discuss the problem of accumulation of such cylinders to homoclinic orbits of the hyperbolic fixed point of generic classical systems.

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