Variational integrators for degenerate Lagrangians, with application to point vortices

Proceedings of the IEEE Conference on Decision and Control

Volumn 2, Issue , 2002, Pages 1521-1527

  Rowley, Clarence W ^a   Marsden, Jerrold E ^b  

^a PRINCETON UNIVERSITY   (United States)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SIMULATION; DISCRETE TIME CONTROL SYSTEMS; HAMILTONIANS; LAGRANGE MULTIPLIERS; VORTEX FLOW;

DISCRETE MECHANICS; LAGRANGIANS; VARIATIONAL INTEGRATORS;

CONTROL SYSTEM ANALYSIS;

EID: 0036993398     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (7)

1. Cantrijn, F., J. F. Cariñena, M. Crampin, L. A. Ibort [1986], Reduction of degenerate Lagrangian systems. J. Geom. Phys. 3(3), 353-400.
2. Kane, C, J. E. Marsden, M. Ortiz and M. West [2000], Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems, Int. J. Num. Math. Eng., 49, 1295-1325.
3. Marsden, J. E. and T. S. Ratiu [1999], Introduction to Mechanics and Symmetry, volume 17 of Texts in Applied Mathematics, vol. 17; 1994, Second Edition, 1999. Springer-Verlag.
4. Marsden, J. E. and M. West [2001], Discrete mechanics and variational integrators, Acta Numerica 10, 357-514.
5. Newton, P. K. [2001], The N-vortex Problem: Analytical techniques. Springer-Verlag, New York.
6. Newton, P. K. and B. Khushalani [2002], Integrable decomposition methods and ensemble averaging for non-integrable N-vortex problems (preprint).
7. Pullin, D. I. and P. G. Saffman [1991], Long time symplectic integration: the example of four-vortex motion, Proc. Roy. Soc. Lon. A 432, 481-494.