Geodesic
A geometric analysis of dynamical systems with singular Lagrangians
Communications in Mathematics, Tome 19 (2011) no. 2, pp. 169-178
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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.
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.
Classification : 37J05, 51P05, 70G45, 70H03, 70H45
Keywords: singular Lagrangian systems; geometric constraint algorithm; extended dynamics; proper dynamics; final constraint submanifold higher order field theories 
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Havelková, Monika. A geometric analysis of dynamical systems with singular Lagrangians. Communications in Mathematics, Tome 19 (2011) no. 2, pp. 169-178. http://geodesic.mathdoc.fr/item/COMIM_2011_19_2_a5/

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