14 citations · 34 across the 6 of their papers we have counts for
7 papers
A note on Hybrid Routh reduction for time-dependent Lagrangian systems
Leonardo J. Colombo, Maria Emma Eyrea Irazú, Eduardo García-Toraño Andrés
This note discusses Routh reduction for hybrid time-dependent mechanical systems. We give general conditions on whether it is possible to reduce by symmetries a hybrid time-depende…
The interplay between Dirac systems, Morse families and Interconnection
M. Barbero-Liñán, H. Cendra, E. García-Toraño Andrés +1
We provide a generalization of the notion of Dirac system by using Morse families to intrinsically embrace the dynamics associated with different physical systems such as constrain…
Un-Reduction of Systems of Second-Order Ordinary Differential Equations
Eduardo García-Toraño Andrés, Tom Mestdag
In this paper we consider an alternative approach to "un-reduction". This is the process where one associates to a Lagrangian system on a manifold a dynamical system on a principal…
Implicit Lagrange-Routh Equations and Dirac Reduction
Eduardo García-Toraño Andrés, Tom Mestdag, Hiroaki Yoshimura
In this paper, we make a generalization of Routh's reduction method for Lagrangian systems with symmetry to the case where not any regularity condition is imposed on the Lagrangian…
Aspects of reduction and transformation of Lagrangian systems with symmetry
E. García-Toraño Andrés, B. Langerock, F. Cantrijn
This paper contains results on geometric Routh reduction and it is a continuation of a previous paper where a new class of transformations is introduced between Lagrangian systems…
Reduced dynamics and Lagrangian submanifolds of symplectic manifolds
E. García-Toraño Andrés, E. Guzmán, J. C. Marrero +1
In this paper, we will see that the symplectic creed by Weinstein "everything is a Lagrangian submanifold" also holds for Hamilton-Poincaré and Lagrange-Poincaré reduction. In fact…
Routh reduction and the class of magnetic Lagrangian systems
B. Langerock, E. García-Toraño Andrés, F. Cantrijn
In this paper, some new aspects related to Routh reduction of Lagrangian systems with symmetry are discussed. The main result of this paper is the introduction of a new concept of…