A Geometric Mechanism for Diffusion in Hamiltonian Systems Overcoming the Large Gap Problem is popular PDF and ePub book, written by Amadeu Delshams in 2006, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, A Geometric Mechanism for Diffusion in Hamiltonian Systems Overcoming the Large Gap Problem can be Read Online from any device for your convenience.
A Geometric Mechanism for Diffusion in Hamiltonian Systems Overcoming the Large Gap Problem Book PDF Summary
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.
Detail Book of A Geometric Mechanism for Diffusion in Hamiltonian Systems Overcoming the Large Gap Problem PDF
- Author : Amadeu Delshams
- Release : 20 May 2024
- Publisher : American Mathematical Soc.
- ISBN : 1470404451
- Genre : Mathematics
- Total Page : 141 pages
- Language : English
- PDF File Size : 20,6 Mb
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