14 citations · 34 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…