## Seminars and Colloquia Schedule

### Domains of Analyticity and Gevrey estimates in weakly dissipative systems.

Series
Dissertation Defense
Time
Friday, August 27, 2021 - 12:00 for 1 hour (actually 50 minutes)
Location
ONLINE
Speaker
In the first part, we study a family of dissipative standard maps of the cylinder for which the dissipation is a function of a small complex parameter of perturbation, $\varepsilon$.  We compute perturbative expansions formally in $\varepsilon$ and use them to estimate the shape of the domains of analyticity of invariant circles as functions of $\varepsilon$. We also give evidence that the functions might belong to a Gevrey class. The numerical computations we perform support conjectures on the shape of the domains of analyticity.