Mechanics, analysis and geometry: 200 years after Lagrange.

摘要: Foreword. Dynamical Systems . Periodic solutions near the Lagrange equilibrium points in restricted three-body problem for mass ratios Routh's critical value (G. Dell'Antonio). Lower bound on dimension of attractor Navier-Stokes equations Space Dimension 3 (J.-M. Ghidaglia and R. Temam). Homoclinic chaos ray optics a fiber: 200 years after (D.D. Holm G. Kovacic). On vortex-wave system (C. Marchioro M. Pulvirenti). Integrable Quantum Groups The averaging procedure soliton-like integrable systems (I.M. Krichever). A new topological invariant Hamiltonian differential applications to problems physics mechanics (A.T. Fomenko). Lie algebra motion integrals two-dimensional hydrodynamic Clebsh variables (V.E. Zakharov). Quasiclassical limit quantum matrix groups (B.A. Kupershmidt). Analytical Mechanics Calculus Variations multisymplectic framework classical field theory calculus variations: I. Covariant formalism (M.J. Gotay). Conformal symmetries generalized recurrences heat Schrodinger one spatial (E.G. Kalnins, R.D. Levine W. Miller, Jr.). geometry (W.F. Shadwick). Global Analysis Massivite des espaces de Sobolev et spectre du Laplacien Varietes Riemanniennes compactes (A. Avez). Yang-Mills fields Lorentzian manifolds (Y. Choquet-Bruhat). Eigenvalues Laplacian (T.M. Rassias). Differential Geometry How can drum change shape, while sounding same? Part II (D. DeTurck, H. Gluck, C. Gordon D. Webb). Vector circle (N. Hitchin). Scalar invariants, diffieties characteristic classes (A.M. Vinogradov). Relativity Field Theory covariant phase space asymptotically flat gravitational Ashtekar, L. Bombelli O. Reula). Lagrangian approach conserved quantities general relativity (M. Ferraris Francaviglia). Lagrangians superstring (P. Fre). gravity (J.E. Nelson T. Regge). Chen's iterated path integrals, vortices link invariants (V. Penna, Rasetti Spera). Massive modes effective (K.S. Stelle). History Mathematics Formal versus convergent power series (J. Dieudonne).