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This volume collects three series of lectures on applications of the theory of Hamiltonian systems, contributed by some of the specialists in the field. The aim is to describe the state of the art for some interesting problems, such as the Hamiltonian theory for infinite-dimensional Hamiltonian systems, including KAM theory, the recent extensions of the theory of adiabatic invariants and the phenomena related to stability over exponentially long times of Nekhoroshev's theory. The books may serve as an excellent basis for young researchers, who will find here a complete and accurate exposition of recent original results and many hints for further investigation.

Hamiltonian systems --- Systèmes hamiltoniens --- Congresses. --- Congrès --- Hamiltonian systems. --- Mathematics. --- Differentiable dynamical systems. --- Differential equations, partial. --- Cell aggregation --- Thermodynamics. --- Dynamical Systems and Ergodic Theory. --- Partial Differential Equations. --- Manifolds and Cell Complexes (incl. Diff.Topology). --- Mechanics, Fluids, Thermodynamics. --- Mathematical Theory --- Geometry --- Calculus --- Mathematics --- Physical Sciences & Mathematics --- Hamiltonian dynamical systems --- Systems, Hamiltonian --- Aggregation, Cell --- Cell patterning --- Partial differential equations --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Math --- Dynamics. --- Ergodic theory. --- Partial differential equations. --- Manifolds (Mathematics). --- Complex manifolds. --- Classical and Continuum Physics. --- Science --- Analytic spaces --- Manifolds (Mathematics) --- Geometry, Differential --- Topology --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Cell interaction --- Microbial aggregation --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Continuum physics. --- Classical field theory --- Continuum physics --- Continuum mechanics --- Differentiable dynamical systems