1549055384-Symplectic_Geometry_and_Topology__Eliashberg_

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424 J.E. MARSDEN, MECHANICS, DYNAMICS, AND SYMMETRY



  1. Marsden, J.E., T.S. Ratiu, and A. Weinstein [1984a] Semi-direct products
    and reduction in mechanics, Trans. Am. Math. Soc. 281, 147-177.

  2. Marsden, J.E., T.S. Ratiu, and A. Weinstein [1984b] Reduction and Hamil-
    tonian structures on duals of semidirect product Lie Algebras, Cont. Math.
    AMS 28, 55-100.

  3. Marsden, J.E. and J. Scheurle [1993a] Lagrangian reduction and the double
    spherical pendulum, ZAMP 44, 17-43.

  4. Marsden, J.E. and J. Scheurle [1993b] The reduced Euler-Lagrange equations,
    Fields Institute Comm. 1, 139-164.

  5. Marsden, J.E. and J. Scheurle [1995] Pattern evocation and geometric phases
    in mechanical systems with symmetry, Dyn. and Stab. of Systems. 10, 315-



  6. Marsden, J.E., J. Scheurle and J. Wendlandt [1996] Visualization of orbits
    and pattern evocation for the double spherical pendulum, JC/AM 95: Mathe-
    matical Research, Academie Verlag, Ed. by K. Kirchgassner, 0. Mahrenholtz
    and R. Mennicken 87 , 213-232.

  7. Marsden, J.E. and S. Shkoller [1997] Multisymplectic geometry, covariant
    Hamiltonians and water waves Math. Proc. Camb. Phil. Soc., to appear.

  8. Marsden, J.E., and J.C. Simo [1990] The energy-momentum method, La
    "Mecanique Analytique" de Lagrange et son Heritage, Atti della Accademia
    delle Scienze di Torino, 124, 245-268.

  9. Marsden, J.E., J.C. Simo, D.R. Lewis, and T.A. Posbergh [1989] A block
    diagonalization theorem in the energy momentum method, Cont. Math. AMS
    97, 297-313.

  10. Marsden, J.E. and A. Weinstein [1974] Reduction of symplectic manifolds
    with symmetry, Rep. Math. Phys. 5, 121-130.

  11. Marsden, J.E. and A. Weinstein [1982] The Hamiltonian structure of the
    Maxwell-Vlasov equations, Physica D 4 , 394-406.

  12. Marsden, J.E. and A. Weinstein [1983] Coadjoint orbits, vortices and Clebsch
    variables for incompressible fluids, Physica D 7, 305-323.

  13. Marsden, J.E., A. Weinstein, T.S. Ratiu, R. Schmid, and R.G. Spencer [1983]
    Hamiltonian systems with symmetry, coadjoint orbits and plasma physics, in
    Proc. IUTAM-ISlMM Symposium on Modern Developments in Analytical
    Mechanics, Torino 1982, Atti della Acad. della Sc. di Torino 117 , 289-340.

  14. Marsden, J.E. and J.M. Wendlandt [1997] Mechanical systems with sym-
    metry, variational principles and integration algorithms. Current and Future
    Directions in Applied Mathematics, Edited by M. Alber, B. Hu, and J. Rosen-
    thal, Birkhauser, 219-261.

  15. McLachlan, R.I. and C. Scovel [1995] Equivariant constrained symplectic in-
    tegration. J. of Nonl. Sci. 5, 233-256.

  16. McLachlan, R.I. and C. Scovel [1996] A survey of open problems in symplectic
    integration. Fields Institute Communications, 10, 151 - 180.

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