Hamiltonian Systems
Dynamics, Analysis, Applications
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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, 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.
Author Biography:
Albert Fathi is Professor of the Practice in the School of Mathematics at Georgia Institute of Technology. Philip J. Morrison is TAERF Professor of Physics at the University of Texas. Tere M-Seara is a professor at Universitat Politècnica de Catalunya, Barcelona, and a member of the Centre de Recerca Matemàtica. Sergei Tabachnikov is Professor of Mathematics at Pennsylvania State University.
Release date Australia
April 29th, 2024
Audience
- Postgraduate, Research & Scholarly
Contributors
- Edited by Albert Fathi
- Edited by Philip J. Morrison
- Edited by Sergei Tabachnikov
- Edited by Tere M-Seara
Illustrations
Worked examples or Exercises
Pages
375
ISBN-13
9781009320719
Product ID
38707361
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