Hamiltonian systems: dynamics, analysis, applications

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...

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Weitere Verfasser: Fathi, Albert (HerausgeberIn), Morrison, Philip J. (HerausgeberIn), M-Seara, Tere 1961- (HerausgeberIn), Tabachnikov, Serge 1956- (HerausgeberIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Cambridge, United Kingdom ; New York, NY Cambridge University Press 2024
Schriftenreihe:Mathematical Sciences Research Institute publications 72
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Online-Zugang:DE-12
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Zusammenfassung: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
Beschreibung:Title from publisher's bibliographic system (viewed on 10 May 2024)
Denjoy subsystems and horseshoes / Marie-Claude Arnaud -- Impact Hamiltonian systems and polygonal billiards / L. Becker, S. Elliott, B. Firester, S. Gonen Cohen, Michal Pnueli and Vered Rom-Kedar / Some remarks on the classical KAM theorem, following Pöschel 67 / Abed Bounemoura
Beschreibung:1 Online-Ressource (367 Seiten)
ISBN:9781009320733
DOI:10.1017/9781009320733