44 citations · 118 across the 12 of their papers we have counts for
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math-ph2005
Non-holonomic Lagrangian systems on Lie algebroids
J. Cortes, M. de Leon, J. C. Marrero +1
This paper presents a geometric description on Lie algebroids of Lagrangian systems subject to nonholonomic constraints. The Lie algebroid framework provides a natural generalizati…
math-ph2005
A Survey of Lagrangian Mechanics and Control on Lie algebroids and groupoids
Jorge Cortes, Manuel de Leon, Juan C. Marrero +2
In this survey, we present a geometric description of Lagrangian and Hamiltonian Mechanics on Lie algebroids. The flexibility of the Lie algebroid formalism allows us to analyze sy…
math.DG2005
The Hamilton-Jacobi equation on Lie affgebroids
Juan Carlos Marrero, Diana Sosa
The Hamilton-Jacobi equation for a Hamiltonian section on a Lie affgebroid is introduced and some examples are discussed.