Seminario di Fisica Matematica

Mercoledì 5 luglio 2023 alle ore 16:00, Federico Bonetto (Giorgia Tech, Atlanta) terrà il Seminario di Fisica Matematica dal titolo "Synchronization and averaging in a simple dynamical systems with fast/slow variables".

We study a family of dynamical systems obtained by coupling a chaotic (Anosov) map on the two-dimensional torus - the chaotic variable - with the identity map on the one-dimensional torus - the neutral variable - through a dissipative interaction. We 
show that the two systems synchronize, in the sense that the trajectories evolve toward an attracting invariant manifold, and that the full dynamics is conjugated to its linearization around the invariant manifold.
When the interaction is small, the evolution of the neutral variable is very close to the identity and hence the neutral variable appears as a slow variable with respect to the fast chaotic variable: we show that, seen on a suitably long time scale, the slow variable  effectively follows the solution of a deterministic differential equation obtained by averaging over the fast  variable.

Il seminario si svolgerà in presenza presso il Dipartimento di Matematica e Fisica,
Via della Vasca Navale 84 - Aula A.

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