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Published 2002 | Published
Book Section - Chapter Open

Variational integrators for degenerate Lagrangians, with application to point vortices


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.

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© 2002 IEEE.

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August 19, 2023
January 13, 2024