Hamiltonian Mechanics

Invited papers.- Non-integrability criterion of Hamiltonian systems based on Ziglin’s Theorem and its relation to the singular point analysis.- Averaging under fast quasiperiodic forcing.- Natural boundaries of normalizing transformations.- Singular perturbation in Hamiltonian Mechanics.- The structure of Chaos.- From Integrability to Chaos: Examples of interrelations between physics and dynamics for minor bodies in the solar system.- Successive elimination of harmonics: A way to explore the resonant structure of a Hamiltonian system.- Periodic solutions of nonlinear Schrodinger equations and the Nash-Moser method.- On the tendency toward ergodicity with increasing number of degrees of freedom in Hamiltonian systems.- Gibbsian check of the validity of Gibbsian calculation through dynamical observables.- Adiabatic invariants and time scales for energy sharing in models of classical gases.- Numerical integration of Hamiltonian systems in the presence of additional integrals: Application of the observer method.- Symmetries and topology of dynamical systems with two degrees of freedom.- Contributed papers.- Variational criteria for nonintegrability and chaos in Hamiltonian systems.- Exponentially small splitting in Hamiltonian systems.- Integrable and chaotic behaviour in the Paul trap and the hydrogen atom in a generalized van der Waals potential.- Recent applications of Hamiltonian dynamics to accelerator physics.- Singularity analysis of 2D complexified Hamiltonian systems.- Perturbation theory for systems without global action-angle coordinates.- A non-integrability test for perturbed Hamiltonian systems of two degrees of freedom.- Librational invariant surfaces in the spin-orbit problem.- Normalization of resonant Hamiltonians.- Effective stability for periodicallyperturbed Hamiltonian systems.- Bihamiltonian systems and Lax representation.- An efficient method for computing periodic orbits of conservative dynamical systems.- The dynamics of trace maps.- Scars in groups of eigenfunctions.- A model of Poincaré and rigorous proof of the second element of thermodynamics from mechanics.- Nekhoroshev and KAM theorems revisited via a unified approach.- Dynamics and k-symmetries.- Quantal-classical mixed mode dynamics of coupled oscillators.- The three-wave interaction of four waves revisited: A Lax pair and possibly general solution.- Chaotic Friedman-Robertson-Walker Cosmology coupled to a real free massive scalar field in Maupertuis picture.- The method of modular smoothing.- Soliton chaos in elastic chains and turbulence.- Stochastic webs with fourfold rotation symmetry.- Antibrackets and supersymmetric Mechanics.- Integrable systems and confocal quadrics.- An elementary approach to integrability condition for the Euler equations on Lie algebra so(4).- Integrable Hamiltonian systems and Poisson actions with simple singular points.- Dynamics and bifurcations in two-parameter unfolding of a Hamiltonian system with a homoclinic orbit to a saddle-center.- Self-similar isomonodromy solutions of nonlinear Schrödinger equation.- A method for visualizing the 4-dimensional space of section in 3-D Hamiltonian systems.- Non-adiabatic aspects of time-dependent Hamiltonian systems.- A study of a finite-dimensional dynamical system approximating the evolution of quantum averages.