A Caltech Library Service

Variational integrators for degenerate Lagrangians, with application to point vortices

Rowley, Clarence W. and Marsden, Jerrold E. (2002) Variational integrators for degenerate Lagrangians, with application to point vortices. In: Proceedings of the 41st IEEE Conference on Decision and Control. Proceedings IEEE Conference on Decision and Control. IEEE , Piscataway, NJ, pp. 1521-1527. ISBN 0-7803-7516-5

PDF - Published Version
See Usage Policy.


Use this Persistent URL to link to this item:


We develop discrete mechanics and variational integrators for a class of degenerate Lagrangian systems, and apply these integrators to a system of point vortices. Excellent numerical behavior is observed. A longer term goal is to use these integration methods in the context of control of mechanical systems, such as coordinated groups of underwater vehicles. In fact, numerical evidence given in related problems, such as those in [2] shows that in the presence of external forces, these methods give superior predictions of energy behavior.

Item Type:Book Section
Related URLs:
Additional Information:© 2002 IEEE.
Subject Keywords:coordinated groups , degenerate Lagrangian systems , discrete mechanics , mechanical systems , numerical behavior , point vortices , underwater vehicles , variational integrators
Other Numbering System:
Other Numbering System NameOther Numbering System ID
INSPEC Accession Number7685534
Record Number:CaltechAUTHORS:20101007-083427136
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20328
Deposited By: Tony Diaz
Deposited On:19 Nov 2010 23:39
Last Modified:26 Dec 2012 12:30

Repository Staff Only: item control page