2007

1. Krechetnikov, R. and J. E. Marsden Dissipation-induced instabilities in finite dimensions, Rev. of Mod. Phys., 79, (2007), 519-553. (pdf)

2. Kanso, E., M. Arroyo, Y. Tong, A. Yavari, J. E. Marsden, and M. Desbrun On the geometric character of stress in continuum mechanics, Z. Angew. Math. Phys., 58, (2007), 1-14. (pdf)

3. Yanao, T., W. S. Koon, J. E. Marsden and I. G. Kevrekidis Gyration-radius dynamics in structural transitions of atomic clusters, J. Chem. Physics., 126, (2007), 1-17. (pdf)

4. Lekien, F., S. C. Shadden and J. E. Marsden Lagrangian coherent structures in n-dimensional systems, J. Math. Phys., 48, (2007), 065404, 1-19. (pdf)

5. Coulliette, C., F. Lekien, J. D. Paduan, G. Haller, and J. E. Marsden Optimal pollution mitigation in Monterey bay based on coastal radar data and nonlinear dynamics, Environ. Sci. and Technol., 41, 6562-6572. (pdf)

6. Kobilarov, M, M. Desbrun, J. E. Marsden, and G. S. Sukhatme A discrete geometric optimal control framework for systems with symmetries, Proc. of 2007 Conf. on Robotics: Science and Systems, 3, 1-8. (pdf)

7. Shadden, S. C., K. Katija, M. Rosenfeld, J. E. Marsden, and J. O. Dabiri Transport and stirring induced by vortex formation, J. Fluid Mech., 593, (2007), 315-331. (pdf)

8. Leyendecker S., S. Ober-Blöbaum, J.E. Marsden, and M. Ortiz Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics, Proc. 6th Intern. Conf. on Multibody Systems, Nonlinear Dynamics, and Control, ASME, (2007), 1-10.. (pdf)

9. Pekarek D., A. D. Ames, and J. E. Marsden Discrete Mechanics and Optimal Control Applied to the Compass Gait Biped, 46th IEEE Conference on Decision and Control, New Orleans, LA, USA. (2007) 5376-5382. (pdf)

10. Yoshimura H., and J. E. Marsden Reduction of Dirac Structures and the Hamilton-Pontryagin Principle, Reports on Mathematical Physics, 60, (2007), 381-426. (pdf)

11. Yoshimura, H. and J. E. Marsden Dirac structures and the Legendre transformation for implicit Lagrangian and Hamiltonian systems, Lecture Notes in Control and Inform. Sci., 366, (2007), 233-247. (pdf)

12. Bloch, A. M., M. Leok, J. E. Marsden, and D. V. Zenkov Matching and stabilization of discrete mechanical systems, Proc. Appl. Math. Mech., 7, (2007), 1030603-–1030604. (pdf)

13. Yanao, T., W. S. Koon, J. E. Marsden, and I. G. Kevrekidis Collective coordinates and the mechanism for conformational transitions of complex molecules, Proc. Appl. Math. Mech., 7, (2007), 1080503-4. (pdf)