422 J.E. MARSDEN, MECHANICS, DYNAMICS, AND SYMMETRY
- Leonard, N.E. [1995b] P eriodic forcing, dynamics and control of underactu-
ated spacecraft and underwater vehicles, Proc. 34th IEEE Conj. Decision
Ctrl., 3980-3985. - Leonard, N.E. [1996] Sta bilization of underwater vehicle dynamics with sym-
metry breaking potentials, in preparation. (See also Leonard, N.E., Stabiliza-
tion of steady motions of an underwater vehicle, Proc. 35th IEEE Conference
on Decision and Control, Kobe, Japan, 1996 .) - Leonard, N.E. [1997] Stability of a bottom-heavy underwater vehicle, Auto-
matica 33 , 331-346. - Leonard, N .E. and P.S. Krishnaprasad [1995] Motion control of drift-free, left-
invariant systems on Lie groups, IEEE Trans. Automat. Control 40 , 1539 -
- Leonard, N.E. and J.E. Marsden [1997] Stability and Drift of Underwater Ve-
hicle Dynamics: Mechanical Systems with Rigid Motion Symmetry, Physica
D 105 , 130- 162. - Lewis, A. [1996] Affine connections and distributions, preprint.
1 55. Lewis, A. [1 996 ] The geometry of the Gibbs-Appell equations and Gauss'
principle of least constraint, R eports on Math. Phys. 38 , 11-28.
Lewis, A. & R.M. Murray [1995] Variational principles in constrained
systems: theory and experiments, Int. J. Nonlinear Mech. 30 , 793 -815. - Lewis, A., J.P. Ostrowski, R.M. Murray & J. Burdick [1994] Nonholonomic
mechanics and lo comotion: the snakeboard example. IEEE Intern. Conj. on
Robotics and Automation.
1 57. Lewis, D. [1989] Nonlinear stability of a rotating planar liquid drop, Arch.
Rat. Mech. Anal. 106 , 287 - 333. - Lewis, D. [1992a] Bifurcation of liquid drops. Nonlinearity 6 , 491 - 522.
- Lewis, D. [1992b] Lagrangian block diagonalization. Dyn. Diff. Eqn's. 4 1-42.
1 60. Lewis, D., J .E. Marsden, R. Montgomery, and T .S. Ratiu [1986] The Hamil-
tonian structure for dynamic fr ee boundary problems, Physica D 18 , 391-404. - Lewis, D., J .E. Marsden and T.S. Ratiu [1987] Stability and bifurcation of a
rotating liquid drop, J. Math. Phys. 28 , 2508-25 15. - Lewis, D. and T.S. Ratiu [1996] Rotating n-gon/kn-gon vortex configurations,
Journ. Nonlinear S cience 6 , 385- 414. - Lewis, D. and J .C. Simo [1990] Nonlinear stability of rotating pseudo-rigid
bodies, Proc. Roy. Soc. Lon. A 427 , 281 -3 19.
1 64. Lewis, D., T.S. Ratiu, J.C. Simo, and J.E. Marsden [1992] The heavy top: a
geometric treatment, Nonlinearity 5 , 1-48. - Lie, S. [1890] Theorie der Transformationsgruppen, Zweiter Abschnitt. Teub-
ner, Leipzig.
166. Littlejohn, R. and M. Reinch [1997] Gauge fields in the separation of rotations
and internal motions in the n-body problem, R ev. Mod. Phys. 69 , 213-275.