44 citations · 131 across the 11 of their papers we have counts for
4 papers · 1 filter
Non-integrability of some few body problems in two degrees of freedom
Primitivo Acosta-Humanez, Martha Alvarez-Ramirez, Joaquin Delgado
The basic theory of Differential Galois and in particular Morales--Ramis theory is reviewed with focus in analyzing the non--integrability of various problems of few bodies in Cele…
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…