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Hamiltonian systems
Authors: --- --- ---
ISBN: 100932070X 1009320734 9781009320702 9781009320733 9781009320719 Year: 2024 Publisher: Cambridge, United Kingdom ; New York, NY Cambridge University Press

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Abstract

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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