420 J.E. MARSDEN, MECHANICS, DYNAMICS, AND SYMMETRY
- Holmes, P.J. and J.E. Marsden [1978] Bifurcation to divergence and flutter in
flow-induced oscillations: an infinite dimensional analysis, Automatica, 14 ,
367-384. - Holmes, P.J. and J.E. Marsden [1981] A partial differential equation with
infinitely many periodic orbits: chaotic oscillations of a forced beam, Arch.
Rat. Mech. Anal. 76 , 135-166. - Holmes, P.J. and J.E. Marsden [1982a] Horseshoes in perturbations of Hamil-
tonian systems with two degrees of freedom, Comm. Math. Phys. 82 , 523-544. - Holmes, P.J. and J.E. Marsden [1982b] Melnikov's method and Arnold diffu-
sion for perturbations of integrable Hamiltonian systems, J. Math. Phys. 23 ,
669-675. - Holmes, P.J. a~d J.E. Marsden [1983] Horseshoes and Arnold diffusion for
Hamiltonian systems on Lie groups, Indiana Univ. Math. J. 32, 273-310. - Holmes, P.J., J .E. Marsden, and J. Scheurle [1988] Exponentially small split-
tings of separatrices with applications to KAM theory and degenerate bifur-
cations, Cont. Math. 81 , 213-244. - Iwai, T. [1987] A geometric setting for classical molecular dynamics, Ann.
Inst. Henri Poincare, Phys. Th. 47 , 199-219. - Iwai, T. [1990] On the Guichardet/Berry connection, Phys. Lett. A 149 , 341-
- Kane, C., E.A. Repetto, M. Ortiz and J .E. Marsden [1997] Finite element
analysis of nonsmooth contact (preprint). - Kazhdan, D., B. Kostant, and S. Sternberg [1978] Hamiltonian group actions
and dynamical systems of Calogero type, Comm. Pure Appl. Math. 31 , 481-
- Kirillov, A.A. [1962] Unitary representations of nilpotent Lie groups, Russian
Math. Surveys 17 , 53-104. - Kirillov, A.A. [1976a] Local Lie Algebras. Russian Math. Surveys 31 , 55-75.
- Kirillov, A.A. [1976b] Elements of the Theory of Representations.
Grundlehren der math. Wiss. 220 Springer-Verlag. - Kirk, V., J.E. Marsden, and M.Silber [1996] Branches of stable three-tori
using Hamiltonian methods in Hopf bifurcation on a rhombic lattice, Dyn.
and Stab. of Systems, 11 , 267-302. - Knobloch, E., A. Mahalov, and J.E. Marsden [1994] Normal Forms for three-
dimensional Parametric Instabilities in Ideal Hydrodynamics Physica D 73,
49-81. - Koon, W.S. and J .E. Marsden [1997] Optimal control for holonomic and
nonholonomic mechanical systems with symmetry and Lagrangian reduction.
SIAM J. Control and Optim. 35 , 901-929. - Koon, W.S. and J.E. Marsden [1998a] The Hamiltonian and Lagrangian Ap-
proaches to the Dynamics of Nonholonomic Systems, Reports on Math Phys
(to appear).