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Geometric Formulation of Higher-Order Lagrangian Systems in Supermechanics

✍ Scribed by José F. Cariñena; Héctor Figueroa

Book ID
110230000
Publisher
Springer Netherlands
Year
1998
Tongue
English
Weight
608 KB
Volume
51
Category
Article
ISSN
0167-8019

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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