| Non-integrability criterion of Hamiltonian systems based on Ziglin's Theorem and its relation to the singular point analysis | p. 1 |
| Averaging under fast quasiperiodic forcing | p. 13 |
| Natural boundaries of normalizing transformations | p. 35 |
| Singular perturbation in Hamiltonian Mechanics | p. 43 |
| The structure of Chaos | p. 51 |
| From Integrability to Chaos: Examples of interrelations between physics and dynamics for minor bodies in the solar system | p. 73 |
| Successive elimination of harmonics: A way to explore the resonant structure of a Hamiltonian system | p. 89 |
| Periodic solutions of nonlinear Schrodinger equations and the Nash-Moser method | p. 103 |
| On the tendency toward ergodicity with increasing number of degrees of freedom in Hamiltonian systems | p. 123 |
| Gibbsian check of the validity of Gibbsian calculation through dynamical observables | p. 131 |
| Adiabatic invariants and time scales for energy sharing in models of classical gases | p. 139 |
| Numerical integration of Hamiltonian systems in the presence of additional integrals: Application of the observer method | p. 153 |
| Symmetries and topology of dynamical systems with two degrees of freedom | p. 167 |
| Variational criteria for nonintegrability and chaos in Hamiltonian systems | p. 173 |
| Exponentially small splitting in Hamiltonian systems | p. 181 |
| Integrable and chaotic behaviour in the Paul trap and the hydrogen atom in a generalized van der Waals potential | p. 189 |
| Recent applications of Hamiltonian dynamics to accelerator physics | p. 197 |
| Singularity analysis of 2D complexified Hamiltonian systems | p. 205 |
| Perturbation theory for systems without global action-angle coordinates | p. 213 |
| A non-integrability test for perturbed Hamiltonian systems of two degrees of freedom | p. 221 |
| Librational invariant surfaces in the spin-orbit problem | p. 229 |
| Normalization of resonant Hamiltonians | p. 237 |
| Effective stability for periodically perturbed Hamiltonian systems | p. 245 |
| Bihamiltonian systems and Lax representation | p. 253 |
| An efficient method for computing periodic orbits of conservative dynamical systems | p. 261 |
| The dynamics of trace maps | p. 275 |
| Scars in groups of eigenfunctions | p. 287 |
| A model of Poincare and rigorous proof of the second element of thermodynamics from mechanics | p. 295 |
| Nekhoroshev and KAM theorems revisited via a unified approach | p. 299 |
| Dynamics and k-symmetries | p. 307 |
| Quantal-classical mixed mode dynamics of coupled oscillators | p. 315 |
| The three-wave interaction of four waves revisited: A Lax pair and possibly general solution | p. 321 |
| Chaotic Friedman-Robertson-Walker Cosmology coupled to a real free massive scalar field in Maupertuis picture | p. 329 |
| The method of modular smoothing | p. 335 |
| Soliton chaos in elastic chains and turbulence | p. 341 |
| Stochastic webs with fourfold rotation symmetry | p. 345 |
| Antibrackets and supersymmetric Mechanics | p. 353 |
| Integrable systems and confocal quadrics | p. 361 |
| An elementary approach to integrability condition for the Euler equations on Lie algebra so(4) | p. 371 |
| Integrable Hamiltonian systems and Poisson actions with simple singular points | p. 377 |
| Dynamics and bifurcations in two-parameter unfolding of a Hamiltonian system with a homoclinic orbit to a saddle-center | p. 385 |
| Self-similar isomonodromy solutions of nonlinear Schrodinger equation | p. 391 |
| A method for visualizing the 4-dimensional space of section in 3-D Hamiltonian systems | p. 399 |
| Non-adiabatic aspects of time-dependent Hamiltonian systems | p. 405 |
| A study of a finite-dimensional dynamical system approximating the evolution of quantum averages | p. 413 |
| Index | p. 421 |
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