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Keywords:
singular Lagrangian systems; geometric constraint algorithm; extended dynamics; proper dynamics; final constraint submanifold higher order field theories
singular Lagrangian systems; geometric constraint algorithm; extended dynamics; proper dynamics; final constraint submanifold higher order field theories
Summary:
We study dynamics of singular Lagrangian systems described by implicit differential equations from a geometric point of view using the exterior differential systems approach. We analyze a concrete Lagrangian previously studied by other authors by methods of Dirac’s constraint theory, and find its complete dynamics.
References:
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