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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

7-Capinski

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

	Notes 3.14 MB application/pdf	Download

Video/Audio Files

7-Capinski

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

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