Logo

Mathematical Sciences Research Institute

Home » Workshop » Schedules » A topological mechanism for diffusion, with application to the elliptic restricted three body problem

A topological mechanism for diffusion, with application to the elliptic restricted three body problem

Hamiltonian systems, from topology to applications through analysis I October 08, 2018 - October 12, 2018

October 09, 2018 (11:30 AM PDT - 12:30 PM PDT)
Speaker(s): Maciej Capinski (AGH University of Science and Technology)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • Arnold diffusion

  • topological methods

  • three-body problem

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Abstract

We present a topological mechanism of diffusion in a priori chaotic systems. The method leads to a proof of diffusion for an explicit range of perturbation parameters. The assumptions of our theorem can be verified using interval arithmetic numerics, leading to computer assisted proofs. As an example of application we prove diffusion in the Neptune-Triton planar elliptic restricted three body problem. Joint work with Marian Gidea.

Supplements
Asset no preview Notes 3.14 MB application/pdf Download
Video/Audio Files

7-Capinski

H.264 Video 7-Capinski.mp4 151 MB video/mp4 Download
Buy the DVD

If none of the options work for you, you can always buy the DVD of this lecture. The videos are sold at cost for $20USD (shipping included). Please Click Here to send an email to MSRI to purchase the DVD.

See more of our Streaming videos on our main VMath - Streaming Video page.