2001

  1. 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)

  2. 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)

  3. 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)

  4. 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)

  5. Mohseni, K., S. Shkoller, B. Kosovi\textrm{\'{c\/}}, and J. E. Marsden [2001], Numerical Simulations of the Lagrangian Averaged Navier-Stokes (LANS-$ \alpha$) Equations for Forced Homogeneous Isotropic Turbulence., Amer. Inst. Aero. Astro., 2001-2645. (pdf)

  6. Cendra, H., J. E. Marsden and T. S. Ratiu Lagrangian Reduction by Stages, Mem. Amer. Math. Soc., 152, no. 722, (2001), 1-108. (pdf)

  7. Marsden, J. E. and S. Shkoller [2001], Global well-posedness for the Lagrangian averaged Navier-Stokes (LANS-$ \alpha$) equations on bounded domains., Philos. Trans. Roy. Soc. London Ser. A, 359, 1449-1468. (pdf)

  8. 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)

  9. Marsden, J. E. and M. West [2001], Discrete mechanics and variational integrators, Acta Numerica, 357-514. (pdf)

  10. Hirani, A., J. E. Marsden, and J. Arvo [2001], Averaged Template Matching Equations, Springer Lecture Notes in Computer Science, 2134, 528-543. (pdf)

  11. 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)

  12. 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)

  13. 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)

  14. 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)

  15. 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)

  16. 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)

  17. 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)

  18. 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)

  19. 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)

  20. 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)