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math-ph2004★ 5 cited
Lagrangian Description of the Variational Equations
C. M. Arizmendi, J. Delgado, H. N. Núñez-Yépez +1
A variant of the usual Lagrangian scheme is developed which describes both the equations of motion and the variational equations of a system. The required (prolonged) Lagrangian is…
math-ph2004
Noether's theorem for the variational equations
C. M. Arizmendi, J. Delgado, H. N. Núñez-Yépez +1
We introduce an generalized action functional describing the equations of motion and the variational equations for any Lagrangian system. Using this novel scheme we are able to gen…