Del 72 i serien Mathematical Sciences Research Institute Publications

Hamiltonian Systems

Dynamics, Analysis, Applications

Inbunden, Engelska, 2024

AvAlbert Fathi,Philip J. Morrison,Tere M-Seara,Sergei Tabachnikov

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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.

Produktinformation

Utgivningsdatum2024-05-09
Mått163 x 240 x 25 mm
Vikt710 g
FormatInbunden
SpråkEngelska
SerieMathematical Sciences Research Institute Publications
Antal sidor376
FörlagCambridge University Press
ISBN9781009320719

Tillhör följande kategorier

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.