Invariant Manifolds in a Quasi-periodically Forced System with Noise

Series
CDSNS Colloquium
Time
Monday, August 26, 2019 - 11:15am for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Lei Zhang – University of Toronto
Organizer
Rafael de la Llave

In this talk, we consider a quasi-periodically forced system arising from the problem of chemical reactions. For we demonstrate efficient algorithms to calculate the normally hyperbolic invariant manifolds and their stable/unstable manifolds using parameterization method. When a random noise is added, we use similar ideas to give a streamlined proof of the existence of the stochastic invariant manifolds.