Tabla de Contenidos:
  • Contents
  • Introduction
  • Conference Participants
  • Part I. Geometric-Analytic Methods
  • Stability of Poisson-Hamilton equilibria
  • Stability of rigid body motion using the energy-Casimir method
  • Stability of planar multifluid plasma equilibria by Arnold's method
  • Canonical derivation of the Vlasov-Coulomb noncanonical Poisson structure
  • Reduction and Hamiltonian structures on duals of semidirect product Lie algebras
  • Gauged Lie-Poisson structures
  • The Hamiltonian structure of the BBGKY hierarchy equations
  • Particle and bracket formulations of kinetic equationsNoncanonical Hamiltonian field theory and reduced MHD
  • Geometry and guiding center motion
  • Lie-transform derivation of the gyrokinetic Hamiltonian system
  • Poisson structures for relativistic systems
  • Diffeomorphism groups, semidirect products and quantum theory
  • Part II. Analytic and Numerical Methods
  • Contour dynamics for two dimensional flows
  • On the nonlinear stability of circular vortex patches
  • Vortex methods for fluid flow in two orthree dimensions
  • Hamiltonian perturbation theory and water wavesResults on existence and uniqueness of solutions to the Vlasov equation
  • Remarks on collisionless plasmas
  • Toward a new kinetic theory for resonant triads
  • A spectral method for external viscous flows
  • Forecasting the ocean's weather: numerical models for application to oceanographic data
  • Part III. Bifurcation and Dynamical Systems
  • Geometry and dynamics in experiments on chaotic systems
  • Dimension estimates for attractors
  • Solitary waves as fixed points of infinite-dimensional maps in an optical bistable ring cavityHopf bifurcation and the beam-plasma instability
  • Some remarks on chaotic particle paths in time-periodic, three-dimensional swirling flows
  • A universal transition from quasi-periodicity to choas
  • On the nonpathological behavior of Newton's method
  • Successive bifurcations in the interaction of steady state and Hopf bifurcation
  • Convection in a rotating fluid layer