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Mathematics and Statistics Colloquium: Dr. Jorge Gonzales, Georgia Tech

This is a past event.

Thursday, January 14 at 3:45pm to 4:45pm

Virtual Event

Colloquium speaker:  Dr. Jorge Gonzales, Georgia Tech

Title: A proof with rigorous computations of a diffusion mechanism in a-priori chaotic systems

Abstract:

In 1964, Arnold explicitly showed how the accumulation of arbitrarily small perturbations from a system with conserved quantities can result in arbitrarily large effects over time. The Normally Hyperbolic Invariant Manifolds in these systems survive small perturbations and drift trajectories can appear along orbits connecting the associated stable and unstable manifolds.  The relevant quantifies are very difficult to compute in applications to Celestial Mechanics and Particle Physics. We develop rigorous results and verify the mechanism for the Generalized Standard map (Chirikov Standard model) which serves as a simplified model for more involved problems.

Meeting ID: 970 2338 4509
Passcode: FIU2021

Dial-In Information

Meeting ID: 970 2338 4509
Passcode: FIU2021