424 J.E. MARSDEN, MECHANICS, DYNAMICS, AND SYMMETRY
- Marsden, J.E., T.S. Ratiu, and A. Weinstein [1984a] Semi-direct products
and reduction in mechanics, Trans. Am. Math. Soc. 281, 147-177. - 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. - Marsden, J.E. and J. Scheurle [1993a] Lagrangian reduction and the double
spherical pendulum, ZAMP 44, 17-43. - Marsden, J.E. and J. Scheurle [1993b] The reduced Euler-Lagrange equations,
Fields Institute Comm. 1, 139-164. - Marsden, J.E. and J. Scheurle [1995] Pattern evocation and geometric phases
in mechanical systems with symmetry, Dyn. and Stab. of Systems. 10, 315-
- 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. - Marsden, J.E. and S. Shkoller [1997] Multisymplectic geometry, covariant
Hamiltonians and water waves Math. Proc. Camb. Phil. Soc., to appear. - 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. - 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. - Marsden, J.E. and A. Weinstein [1974] Reduction of symplectic manifolds
with symmetry, Rep. Math. Phys. 5, 121-130. - Marsden, J.E. and A. Weinstein [1982] The Hamiltonian structure of the
Maxwell-Vlasov equations, Physica D 4 , 394-406. - Marsden, J.E. and A. Weinstein [1983] Coadjoint orbits, vortices and Clebsch
variables for incompressible fluids, Physica D 7, 305-323. - 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. - 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. - McLachlan, R.I. and C. Scovel [1995] Equivariant constrained symplectic in-
tegration. J. of Nonl. Sci. 5, 233-256. - McLachlan, R.I. and C. Scovel [1996] A survey of open problems in symplectic
integration. Fields Institute Communications, 10, 151 - 180.