Hamiltonian Systems: Dynamics, Analysis, Applications (Mathematical Sciences Research Institute Publications, Series Number 72)

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.

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.