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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Hennawi, A. On the variational equations associated with a Lagrangian. Celestial Mechanics 22, 237–240 (1980). https://doi.org/10.1007/BF01229510
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DOI: https://doi.org/10.1007/BF01229510