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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

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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.

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