A Geometric Mechanism for Diffusion in Hamiltonian Systems Overcoming the Large Gap Problem

Released on by Amadeu Delshams
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  • A Geometric Mechanism for Diffusion in Hamiltonian Systems Overcoming the Large Gap Problem Book Detail

  • Author : Amadeu Delshams
  • Release Date : 2006
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 141
  • ISBN 13 : 9781470404451
  • File Size : 41,41 MB
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A Geometric Mechanism for Diffusion in Hamiltonian Systems Overcoming the Large Gap Problem by Amadeu Delshams PDF Summary

Book Description: Beginning by introducing a geometric mechanism for diffusion in a prioriunstable nearly integrable dynamical systems, this book is based onthe observation that resonances, besides destroying the primary KAMtori, create secondary tori and tori of lower dimension. It argues thatthese objects created by resonances can be incorporated in transitionchains taking the place of the destroyed primary KAM tori.The authorsestablish rigorously the existence of this mechanism in a simple modelthat has been studied before. The main technique is to develop a toolkitto study, in a unified way, tori of different topologies and their invariantmanifolds, their intersections as well as shadowing properties of thesebi-asymptotic orbits. This toolkit is based on extending and unifyingstandard techniques.

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Hamiltonian Systems

Hamiltonian Systems

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A selection of results, spanning a broad spectrum of disciplines, from the MSRI program on Hamiltonian Systems during Fall 2018.