Contemporary Mathematics 1984; 448 pp; softcover Volume: 28 Reprint/Revision History: third 1988 printing ISBN-10: 0-8218-5028-8 ISBN-13: 978-0-8218-5028-2 List Price: US$60 Member Price: US$48 Order Code: CONM/28
| Table of Contents Part I. Geometric-Analytic Methods - A. Weinstein -- Stability of Poisson-Hamilton equilibria
- D. Holm, J. Marsden, T. Ratiu, and A. Weinstein -- Stability of rigid body motion using the energy-Casimir method
- D. Holm -- Stability of planar multifluid plasma equilibria by Arnold's method
- A. Kaufman and R. Dewar -- Canonical derivation of the Vlasov-Coulomb noncanonical Poisson structure
- J. Marsden, T. Ratiu, and A. Weinstein -- Reduction and Hamiltonian structures on duals of semidirect product Lie algebras
- R. Montgomery, J. Marsden, and T. Ratiu -- Gauged Lie-Poisson structures
- J. Marsden, P. Morrison, and A. Weinstein -- The Hamiltonian structure of the BBGKY hierarchy equations
- M. Grmela -- Particle and bracket formulations of kinetic equations
- J. Marsden and P. Morrison -- Noncanonical Hamiltonian field theory and reduced MHD
- R. Littlejohn -- Geometry and guiding center motion
- A. Kaufman and B. Boghosian -- Lie-transform derivation of the gyrokinetic Hamiltonian system
- M. Mayer -- Poisson structures for relativistic systems
- G. Goldin -- Diffeomorphism groups, semidirect products and quantum theory
Part II. Analytic and Numerical Methods - N. Zabusky -- Contour dynamics for two dimensional flows
- Y. Wan -- On the nonlinear stability of circular vortex patches
- T. Beale and A. Majda -- Vortex methods for fluid flow in two or three dimensions
- P. Olver -- Hamiltonian perturbation theory and water waves
- S. Wollman -- Results on existence and uniqueness of solutions to the Vlasov equation
- R. Glassey and W. Strauss -- Remarks on collisionless plasmas
- H. Segur -- Toward a new kinetic theory for resonant triads
- P. Spalart -- A spectral method for external viscous flows
- R. Miller -- Forecasting the ocean's weather: numerical models for application to oceanographic data
Part III. Bifurcation and Dynamical Systems - H. Swinney -- Geometry and dynamics in experiments on chaotic systems
- J. Guckenheimer -- Dimension estimates for attractors
- D. McLaughlin, J. Moloney, and A. Newell -- Solitary waves as fixed points of infinite-dimensional maps in an optical bistable ring cavity
- J. Crawford -- Hopf bifurcation and the beam-plasma instability
- P. Holmes -- Some remarks on chaotic particle paths in time-periodic, three-dimensional swirling flows
- E. Siggia -- A universal transition from quasi-periodicity to chaos
- J. Curry and E. Wayne -- On the nonpathological behavior of Newton's method
- J. Scheurle -- Successive bifurcations in the interaction of steady state and Hopf bifurcation
- J. Swift -- Convection in a rotating fluid layer
|