Hamiltonian Systems
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.
- Features the research carried out during the special program on Hamiltonian Systems at MSRI during Fall 2018
- Written by leading experts in the field
- Reflects the broad interdisciplinary nature of Hamiltonian systems
Product details
May 2024Adobe eBook Reader
9781009320702
0 pages
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
- 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.