Hamiltonian Systems:Dynamics, Analysis, Applications:72 (Mathematical Sciences Research Institute Publications, Series Number 72)

by: Edited by Albert Fathi (Author),Philip J. Morrison(Author),Tere M-Seara(Author),Sergei Tabachnikov(Author)&1more

Publisher: Cambridge University Press

Publication Date: 9 May 2024

Language: English

Print Length: 375 pages

ISBN-10: 1009320718

ISBN-13: 9781009320719

Book Description

Dynamical systems that are amenable to formulation in terms of a Hamiltonian function or operator encompass a vast swath of fundamental cases in applied mathematics and physics. This carefully edited volume represents work carried out during the special program on Hamiltonian Systems at MSRI in the Fall of 2018. Topics covered include KAM theory, polygonal billiards, Aold diffusion, quantum hydrodynamics, viscosity solutions of the Hamilton–Jacobi equation, surfaces of locally minimal flux, Denjoy subsystems and horseshoes, and relations to symplectic topology.
Dynamical systems that are amenable to formulation in terms of a Hamiltonian function or operator encompass a vast swath of fundamental cases in applied mathematics and physics. This carefully edited volume represents work carried out during the special program on Hamiltonian Systems at MSRI in the Fall of 2018. Topics covered include KAM theory, polygonal billiards, Aold diffusion, quantum hydrodynamics, viscosity solutions of the Hamilton–Jacobi equation, surfaces of locally minimal flux, Denjoy subsystems and horseshoes, and relations to symplectic topology.

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