A geometric mechanism for Arnold diffusion in the a priori stable case
- Series
- CDSNS Colloquium
- Time
- Monday, September 21, 2015 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Marian Gidea – Yeshiva University
We prove the existence of diffusion orbits drifting along
heteroclinic chains of normally hyperbolic 3-dimensional cylinders, under
suitable assumptions on the dynamics on the cylinders and on their
homoclinic/heteroclinic connections. These assumptions are satisfied in the
a priori stable case of the Arnold diffusion problem. We provide a
geometric argument that extends Birkhoff's procedure for constructing
connecting orbits inside a zone of instability for a twist map on the
annuls. This is joint work with J.-P. Marco.