Hamiltonian Systems (eBook, PDF)

Dynamics, Analysis, Applications
Redaktion: Fathi, Albert (Georgia Institute of Technology); Tabachnikov, Sergei (Pennsylvania State University); M-Seara, Tere (Universitat Politecnica de Catalunya; Morrison, Philip J. (University of Texas

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 23. Mai 2024
• ISBN-13: 9781009320702
• Artikelnr.: 70910045

Inhaltsangabe

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 Pöschel 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.