Hamiltonian Systems with Three or More Degrees of Freedom

Preface. List of Participants. Lectures. Contributions. List of Authors. Subject Index. Lectures. Inflection points, extatic points and curve shortening; S. Angenent. Topologically necessary singularities on moving wavefronts and caustics; V.I. Arnold. Heteroclinic chains of skew product Hamiltonian systems; S.V. Bolotin. Order and chaos in 3-D systems; G. Contopoulos, et al. Splitting of separatrices in Hamiltonian systems and symplectic maps; A. Delshams, et al. On the discrete one-dimensional quasi-periodic Schrödinger equation and other smooth quasi-periodic skew products; L.H. Eliasson. Lindstedt series and Kolmogorov theorem; G. Gallavotti. A classical self-contained proof of Kolmogorov's theorem on invariant tori; A. Giorgilli, U. Locatelli. Dynamical Stability in Lagrangian Systems; P. Boyland, C. Golé. The origin of chaotic behaviour in the Kirkwood gaps; J. Henrard. Examples of compact hypersurfaces in R2p, 2p >= 6, with no periodic orbits; M. Herman. Hamiltonian systems with three degrees of freedom and Hydrodynamics; V.V. Kozlov. Introduction to frequency map analysis; J. Laskar. Lindstedt series for lower dimensional tori; A. Jorba, et al. Arnold diffusion; a compendium of remarks and questions; P. Lochak. Old and new applications of KAM theory; J. Moser. On adiabatic invariance in two-frequency systems; A. Neishtadt. The method of rational approximations: theory and applications; J. Seimenis. Dynamical systems methods for space missions on a vicinity of collinear libration points; C. Simó. A mechanism of ergodicity in standard-like maps; Ya. G. Sinai. Continuous averaging in Hamiltonian systems; D.V. Treschev. Phase Space Geometry and Dynamics Associatedwith the 1:2:2 Resonance; S. Wiggins. From singular point analysis to rigorous results on integrability: A dream of S. Kowalevskaya; H. Yoshida. Contributions. Time singularities for polynomial Hamiltonians with analytic time dependence; S. Abenda. Numerical study of turbulence in N-body Hamilton-ian systems with long range force I. Relaxation; M. Antoni, et al. Phase space structures in 3 and 4 degrees of freedom: Application to chemical reactions; K.M. Atkins, M. Hutson. Modulated diffusion for symplectic maps; A. Bazzani, F. Brini. On the Jeans-Landau-Teller approximation for adiabatic invariants; G. Benettin. Periodic orbits and quantum mechanics of molecular Hamiltonian systems; R.M. Benito, F. Borondo. Chaos in atom-surface collisions; F. Borondo, et al. On the non-integrability of the Mixmaster Universe model; T. Bountis, L. Drossos. Branching of solutions as obstruction to the existence of a meromorphic integral in many-dimensional systems; S.A. Dovbysh. The energy surfaces of the Kovalevskaya-top; H.R. Dullin. Filling rates for linear flow on the torus: recent progress and applications; H.S. Dumas. Invariant spectra of orbits in multidimensional symplectic maps; N. Voglis, et al. On the convergence of formal series containing small divisors; L. Chierchia, C. Falcolini. Systems with an invariant measure on Lie groups; Y.N. Fedorov. Stochasticity of the 2/1 asteroidal resonance: a symplectic mapping approach; S. Ferraz-Mello. On perturbed oscillators in 1-1-1 resonance: critical inclination in the 3D Hénon-Heiles potential; S. Ferrer, et al. Splitting of separatrices for (fast) quasiperiodic forcing; A. Delshams, et al. A possible mechanism for the KAM tori breakdown; G. Gentile, V.