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
Location: MSRI: Simons Auditorium
37J40 - Perturbations, normal forms, small divisors, KAM theory, Arnolʹd diffusion
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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