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Ergodic theory. Information theory --- Ordinary differential equations --- Classical mechanics. Field theory --- 51 <082> --- 514.8 --- 51 <082.1> --- Mathematics--Feestbundels. Festschriften --- Geometric study of objects of mechanics and physics --- Mathematics--Series --- 514.8 Geometric study of objects of mechanics and physics --- 51 <082> Mathematics--Feestbundels. Festschriften --- Nonholonomic dynamical systems. --- Mechanics. --- Differential equations --- Mécanique --- Équations différentielles --- Qualitative theory. --- Théorie qualitative --- Mechanics --- Nonholonomic dynamical systems --- Dynamical systems, Nonholonomic --- Non-holonomic systems --- Nonholonomic systems --- Differentiable dynamical systems --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- 517.91 Differential equations --- Qualitative theory --- 517.91 --- Numerical solutions --- Mécanique. --- Théorie qualitative. --- Numerical solutions&delete&
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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.
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