Arnold Diffusion via Normally Hyperbolic Invariant Cylinders and Mather Variational Method, Part II

Symplectic Dynamics Seminar
Topic:Arnold Diffusion via Normally Hyperbolic Invariant Cylinders and Mather Variational Method, Part II
Speaker:Ke Zhang
Affiliation:Member, School of Mathematics
Date:Wednesday, March 21
Time/Room:2:00pm - 3:00pm/S-101

In 1964 Arnold constructed an example of instabilities for nearly integrable systems and conjectured that generically this phenomenon takes place. There has been big progress attacking this conjecture in the past decade. Jointly with Ke Zhang we present a new approach to this problem. It is based on a construction of crumpled and flower Normally Hyperbolic Invariant Cylinders. Once existence of these cylinders is shown to construct diffusion we apply Mather variational mechanism. A part of the project is also joint with P. Bernard.