Hamiltonian Systems
Dynamics, Analysis, Applications
Published on 9. May 2024
Book
Hardback
376 pages
978-1-009-32071-9 (ISBN)
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.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
College/higher education
Product notice
Laminated cover
Illustrations
Worked examples or Exercises
Dimensions
Height: 236 mm
Width: 163 mm
Thickness: 26 mm
Weight
676 gr
ISBN-13
978-1-009-32071-9 (9781009320719)
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Schweitzer Classification
Other editions
Additional editions
Albert Fathi | Philip J. Morrison | Tere M-Seara
Hamiltonian Systems
Dynamics, Analysis, Applications
E-Book
05/2024
Cambridge University Press
€148.99
Available for download
Persons
Content
1. Denjoy subsystems and horseshoes Marie-Claude Arnaud; 2. Impact Hamiltonian systems and polygonal billiards L. Becker, S. Elliott, B. Firester, S. Gonen Cohen, Michael Pnueli and Vered Rom-Kedar; 3. Some remarks on the classical KAM theorem, following Poeschel Abed Bounemoura; 4. Some recent developments in Arnold diffusion Chong-Qing Cheng and Jinxin Xue; 5. Viscosity solutions of the Hamilton-Jacobi equation on a noncompact manifold Albert Fathi; 6. Holonomy and vortex structures in quantum hydrodynamics Michael S. Foskett and Cesare Tronci; 7. Surfaces of locally minimal flux Robert S. MacKay; 8. A symplectic approach to Arnold diffusion problems Jean-Pierre Marco; 9. Hamiltonian ODE, homogenization, and symplectic topology Fraydoun Rezakhanlou.