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Introduction to applications of KAM theory to PED's I

Introductory Workshop: Hamiltonian systems, from topology to applications through analysis August 20, 2018 - August 24, 2018

August 22, 2018 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Clarence Wayne (Boston University)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • Hamiltonian

  • dissipation

  • breathers

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
Video

Abstract

We discuss, in the context of energy flow in high-dimensional systems the behavior of a chain of rotators (rotors) which is purely Hamiltonian, apart from dissipation at just one end. We derive bounds on the dissipation rate which become arbitrarily small in certain physical regimes, and we present numerical evidence that these bounds are sharp. We also demonstrate in a special model that the very slow dissipation is due to the slow drift along a family of approximate breather solutions.

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Video/Audio Files

9-Wayne

H.264 Video 9-Wayne.mp4 395 MB video/mp4 Download
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