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"Arising from the MSRI program on Hamiltonian Systems during Fall 2018, this carefully edited volume contains research papers, surveys, and lecture notes spanning a broad range of topics. It will be a standard reference and introduction to the subject for researchers and graduate students working in dynamical systems"--
List 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.
About the author
Albert Fathi is Professor of the Practice in the School of Mathematics at Georgia Institute of Technology.Philip J. Morrison is TAERF Professor of Physics at the University of Texas.Tere M-Seara is a professor at Universitat Politècnica de Catalunya, Barcelona, and a member of the Centre de Recerca Matemàtica.Sergei Tabachnikov is Professor of Mathematics at Pennsylvania State University.
