- Cendra, H., J. E. Marsden and T. S. Ratiu [2001],
Geometric mechanics, Lagrangian reduction
and nonholonomic systems,
Mathematics Unlimited-2001 and Beyond,
(B. Enguist and W. Schmid, eds.),
Springer-Verlag, New York, 221-273.
(pdf)
- Marsden, J. E., S. Pekarsky, S. Shkoller, and M. West [2001],
Variational Methods, Multisymplectic Geometry
and Continuum Mechanics,
J. Geometry and Physics, 38, 253-284.
(pdf)
- Krysl, P., S. Lall, and J. E. Marsden [2001],
Dimensional model reduction in non-linear finite element
dynamics of solids and structures
Int. J. Numer. Meth. Engng, 51, 479-504.
(pdf)
- Bloch, A M., N. E. Leonard, and J. E. Marsden [2001],
Controlled Lagrangians and the Stabilization of
Euler-Poincaré Mechanical Systems
Int. J. Robust Nonlinear Control, 11, 191-214.
(pdf)
- Mohseni, K., S. Shkoller, B. Kosovi, and J. E. Marsden [2001],
Numerical Simulations of the Lagrangian Averaged
Navier-Stokes (LANS-) Equations for Forced
Homogeneous Isotropic Turbulence.,
Amer. Inst. Aero. Astro., 2001-2645.
(pdf)
- Cendra, H., J. E. Marsden and T. S. Ratiu
Lagrangian Reduction by Stages,
Mem. Amer. Math. Soc., 152, no. 722, (2001), 1-108.
(pdf)
- Marsden, J. E. and S. Shkoller [2001],
Global well-posedness for the Lagrangian
averaged Navier-Stokes (LANS-)
equations on bounded domains.,
Philos. Trans. Roy. Soc. London Ser. A,
359, 1449-1468.
(pdf)
- Pekarsky, S. and J. E. Marsden [2001],
Abstract mechanical connection and abelian
reconstruction for almost Kähler manifolds,
Journal of Applied Mathematics, 1, 1-28.
(pdf)
- Marsden, J. E. and M. West [2001],
Discrete mechanics and variational integrators,
Acta Numerica, 357-514.
(pdf)
- Hirani, A., J. E. Marsden, and J. Arvo [2001],
Averaged Template Matching Equations,
Springer Lecture Notes in Computer Science,
2134, 528-543.
(pdf)
- Alber, M., R. Camassa, Y. Fedorov, D. Holm,
and J. E. Marsden [2001],
The complex geometry of weak piecewise smooth solutions of
integrable nonlinear PDE's of shallow water and Dym type,
Comm. Math. Phys., 221, 197-227.
(pdf)
- Woolsey, C., A. M. Bloch, N. E. Leonard, and J. E. Marsden [2001],
Physical dissipation and the method of controlled Lagrangians,
Proceedings of the European Control Conference,
Porto, Portugal, September 2001, 2570-2575.
(pdf)
- Bloch, A. M., D. Chang, N. Leonard, and J. E. Marsden [2001],
Controlled Lagrangians and the stabilization
of mechanical systems II: Potential shaping,
Trans IEEE on Auto. Control, 46, 1556-1571.
(pdf)
- Gomez, G., W. S. Koon, M. W. Lo, J. E. Marsden, J. J. Masdemont,
and S. D. Ross [2001],
Invariant manifolds, the spatial three-body problem
and space mission design,
Astrodynamics Specialist Meeting, Quebec City, Canda,
August 2001, AAS 01-31.
(pdf)
- Koon, W., J. E. Marsden, J. Masdemont, and R. M. Murray [2001],
J2 dynamics and formation flight,
Proceedings of AIAA Guidance, Navigation, and Control
Conference, Montreal, Canada, August, AIAA 2001-4090.
(pdf)
- Woolsey, C., A. M. Bloch, N. E. Leonard, and J. E. Marsden [2001],
Dissipation and controlled Euler-Poincaré systems,
2001 Conference on Decision and Control,
Orlando, FL, December 2001, 3378-3383.
(pdf)
- Clerc, M. G. and J. E. Marsden [2001],
Dissipation-induced instabilities in an optical cavity laser:
A mechanical analog near the 1:1 resonance,
Physical Review E, 64, 067603.
(pdf)
- Marsden, J. E. and A. Weinstein [2001],
Comments on the history, theory, and applications
of symplectic reduction,
Quantization of Singular Symplectic Quotients,
Birkhäuser (Landsman, N., M. Pflaum, and M. Schlichenmaier, eds.)
Boston, pp 1-20.
(pdf)
- Koon, W. S., M. Lo, J. E. Marsden, and S. Ross [2001],
Resonance and capture of Jupiter comets,
Celestial Mech. and Dyn. Astron, 81, 27-38.
(pdf)
- Koon, W. S., M. Lo, J. E. Marsden, and S. Ross [2001],
Low energy transfer to the moon,
Celestial Mech. and Dyn. Astron., 81, 63-73.
(pdf)