67 citations · 118 across the 18 of their papers we have counts for
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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…
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…
Variational equations of Lagrangian systems and Hamilton's principle
H. N Núñez-Yépez, Joaquín Delgado, A. L. Salas-Brito
We discuss a recently proposed variational principle for deriving the variational equations associated to any Lagrangian system. The principle gives simultaneously the Lagrange and…
Jacobi equations using a variational principle
H. N. Núñez-Yépez, A. L. Salas-Brito
A variational principle is proposed for obtaining the Jacobi equations in systems admitting a Lagrangian description. The variational principle gives simultaneously the Lagrange eq…