2003

  1. Marsden, J. E. and S. Shkoller [2003], The Anisotropic Lagrangian Averaged Euler and Navier-Stokes Equations, Arch. Rational Mech. Anal. 166, 27-46. (pdf)

  2. Ross, S. D., W.S. Koon, M. W. Lo and J. E. Marsden [2003], Design of a Multi-Moon Orbiter AAS 03-143, February 7, 2003. (pdf)

  3. Mohseni, K., B. Kosovic, S. Shkoller and J. E. Marsden [2003], Numerical simulations of the Lagrangian averaged Navier-Stokes equations for homogeneous isotropic turbulence, Physics of Fluids 15, No. 2, 524-544. (pdf)

  4. Fetecau, R. C., J. E. Marsden and M. West [2003], Variational Multisymplectic Formulations of Nonsmooth Continuum Mechanics, in Perspectives and Problems in Nonlinear Science, a celebratory volume in honor of Larry Sirovich, Springer-Verlag, 229-262. (pdf)

  5. Lew, A., J. E. Marsden, M. Ortiz and M. West [2003], Asynchronous Variational Integrators, Arch. Rational Mech. Anal. 167, 85-146. (pdf)

  6. Rowley, C. W., I. G. Kevrekidis, J. E. Marsden and K. Lust [2003], Reduction and reconstruction for self-similar dynamical systems, Nonlinearity 16, 1257-1275. (pdf)

  7. Chang, D. E. and J. E. Marsden [2003], Geometric derivation of the Delaunay variables and geometric phases, Celestial Mech. and Dynamical Astron. 86, 185-208. (pdf)

  8. Lall, S., P. Krysl and J. E. Marsden [2003], Structure-preserving model reduction for mechanical systems, Physica D 184, 304-318. (pdf)

  9. Lekien, F., C. Coulliette and J. E. Marsden [2003] Lagrangian Structures in Very High-Frequency Radar Data and Optimal Pollution Timing, 7th Experimental Chaos Conf, AIP. 162-168. (pdf)

  10. Fetecau, R. C., J. E. Marsden, M. Ortiz, and M. West [2003] Nonsmooth Lagrangian Mechanics and Variational Collision Integrators, SIAM J. Applied Dynamical Systems 2, 381-416. (pdf)

  11. Castrillón-López, M. and J. E. Marsden [2003] Some remarks on Lagrangian and Poissonreduction for field theories, J. Geom. and Physics 48, 52-83. (pdf)

  12. Shashikanth, B. and J. E. Marsden [2003] Leapfrogging vortex rings: Hamiltonian structure, geometric phases and discrete reduction, Fluid Dynamics Research 33, 333-356. (pdf)

  13. Tret'yakov, A. and J. E. Marsden [2003] Factor-analysis of nonlinear mappings: p-regularity theory, Comm. on Pure and Applied An. 2, 425-445. (pdf)

  14. Chang, D. E. and J. E. Marsden [2003] Gyroscopic forces and collision avoidance with convex obstacles, New Trends in Nonlinear Dynamics and Control, and their Applications, Kang, W., M. Xiao and C. Borges, (Eds.), Springer Lecture Notes in Control and Information Sciences 295, 145-160. (pdf)

  15. Chang, D. E., S. Shadden, J. E. Marsden, and R. Olfati-Saber [2003] Collision avoidance for multiple agent systems, Proc. CDC 42, 539-543. (pdf)

  16. Desbrun, M., A. N. Hirani, and J. E. Marsden [2003] Discrete exterior calculus for variational problems in computer vision and graphics, Proc. CDC 42, 4602-4907. (pdf)

  17. Zenkov, D. V., A. M. Bloch, and J. E. Marsden [2003] Controlled Lagrangian Methods and Tracking of Accelerated Motions, Proc. CDC 42, 533-538. (pdf)

  18. Cendra, H., J. E. Marsden, and T. S. Ratiu [2003] Cocycles, Compatibility, and Poisson Brackets for Complex Fluids, Advances in Multifield Theories of Continua with Substructure, G. Capriz and P. M. Mariano (Eds.), Modeling and Simulation in Science, Engineering and Technology Series, Birkhäuser, Boston, 51-73. (pdf)

  19. Cendra, H., J. E. Marsden, S. Pekarsky, and T. S. Ratiu [2003] Variational principles for Lie-Poisson and Hamilton-Poincaré equations, Moscow Mathematical Journal 3, (2003), 833-867. (pdf)

  20. Gomez, G., W.S. Koon, M.W. Lo, J.E. Marsden, J. Masdemont, and S.D. Ross [2003] Invariant manifolds, the spatial three-body problem and petit grand tour of Jovian moons, Libration Point Orbits and Applications, World Scientific, (2003), 557-572. (pdf)