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

✍ Scribed by Albert Fathi (editor), Philip J. Morrison (editor), Tere M-Seara (editor), Sergei Tabachnikov (editor)

Publisher: Cambridge University Press
Year: 2024
Tongue: English
Leaves: 376
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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, Arnold 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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