On the variational equations associated with a Lagrangian |
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Authors: | A. Hennawi |
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Affiliation: | (1) Laboratoire de Mécanique Théorique, Faculté des Sciences de la Bouloie, 25030 Besançon Cedex, France |
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Abstract: | In a previous publication, Broucke [1] has studied the symplectic properties of the variational equations of a Lagrangian of a very particular form, withconstant coefficients. In this article, we generalize his results to the case of an arbitrary Lagrangian. We show that the characteristic exponents of a periodic solution can be computed in Lagrangian formulation as well as in the more usual Hamiltonian formulation. |
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