Hamiltonian Systems

Erscheinungsjahr 2024
ISBN: 978-1-009-32071-9
Verlag: Cambridge University Press

Buch, Englisch, Band 72, 375 Seiten, Format (B × H): 163 mm x 236 mm, Gewicht: 676 g

Reihe: Mathematical Sciences Research Institute Publications

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.

Autoren/Hrsg.

Fathi, Albert

Morrison, Philip J

M-Seara, Tere

Tabachnikov, Sergei

Inhaltsverzeichnis

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.

Über Autor(innen)

Fathi, Albert
Albert Fathi is Professor of the Practice in the School of Mathematics at Georgia Institute of Technology.

M-Seara, Tere
Tere M-Seara is a professor at Universitat Politècnica de Catalunya, Barcelona, and a member of the Centre de Recerca Matemàtica.

Morrison, Philip J
Philip J. Morrison is TAERF Professor of Physics at the University of Texas.

Tabachnikov, Sergei
Sergei Tabachnikov is Professor of Mathematics at Pennsylvania State University.