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Equivalence of higher-order Lagrangians. II. The Cartan form for particle Lagrangians

✍ Scribed by Hsu, Lucas; Kamran, Niky; Olver, Peter J.

Book ID
111901766
Publisher
American Institute of Physics
Year
1989
Tongue
English
Weight
781 KB
Volume
30
Category
Article
ISSN
0022-2488

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The problem of stability for dynamical systems whose Lagrangian function depends on the derivatives of a higher order than one is studied. The difficulty of this analysis arises from the indefiniteness of the Hamiltonian, so that the well-known Lagrange-Dirichlet theorem cannot be used and the metho