Computer Assisted Proof of Drift Orbits Along Normally Hyperbolic Manifolds

CDSNS Colloquium
Friday, February 26, 2021 - 1:00pm for 1 hour (actually 50 minutes)
Zoom (see add'l notes for link)
Jorge Gonzalez – Georgia Tech – jgonzalez35@gatech.edu
Alex Blumenthal

Please Note: Zoom link:


We will discuss a new method for proving the existence of diffusion in some systems with Normally Hyperbolic Invariant Manifolds (NHIM). We apply this approach to the generalized standard map to show the existence of drift orbits for an explicit range of actions.  The method consists of verifying a finite number of conditions on a computer (keywords: NHIM, shadowing, scattering map, Chirikov Standard model, Parameterization Method, Interval Newton Method).