A Geometric Mechanism For Diffusion In Hamiltonian Systems Overcoming The Large Gap Problem Heuristics And Rigorous Verification On A Model
Download and Read A Geometric Mechanism For Diffusion In Hamiltonian Systems Overcoming The Large Gap Problem Heuristics And Rigorous Verification On A Model full books in PDF, ePUB, and Kindle. Read online free A Geometric Mechanism For Diffusion In Hamiltonian Systems Overcoming The Large Gap Problem Heuristics And Rigorous Verification On A Model ebook anywhere anytime directly on your device. We cannot guarantee that every ebooks is available!
A Geometric Mechanism for Diffusion in Hamiltonian Systems Overcoming the Large Gap Problem
Author | : Amadeu Delshams |
Publisher | : American Mathematical Soc. |
Total Pages | : 141 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : 9781470404451 |
Download A Geometric Mechanism for Diffusion in Hamiltonian Systems Overcoming the Large Gap Problem Book in PDF, Epub and Kindle
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.
A Geometric Mechanism for Diffusion in Hamiltonian Systems Overcoming the Large Gap Problem Related Books
Pages: 141
Pages: 158
Pages: 450
Pages: 377
Pages: 218