7 citations · 14 across the 7 of their papers we have counts for
7 papers
Almost-Poisson brackets for nonholonomic systems with gyroscopic terms and Hamiltonisation
L. C. García-Naranjo, J. C. Marrero, D. Martín de Diego +1
We extend known constructions of almost-Poisson brackets and their gauge transformations to nonholonomic systems whose Lagrangian is not mechanical but possesses a gyroscopic term…
Exact discrete Lagrangian mechanics for nonholonomic mechanics
Alexandre Anahory Simoes, Juan Carlos Marrero, David Martin de Diego
We construct the exponential map associated to a nonholonomic system that allows us to define an exact discrete nonholonomic constraint submanifold. We reproduce the continuous non…
New insights in the geometry and interconnection of port-Hamiltonian systems
M. Barbero-Liñán, H. Cendra, E. García-Toraño Andrés +1
We discuss a new geometric construction of port-Hamiltonian systems. Using this framework, we revisit the notion of interconnection providing it with an intrinsic description. Spec…
The inverse problem of the calculus of variations for discrete systems
María Barbero-Liñán, Marta Farré Puiggalí, Sebastián Ferraro +1
We develop a geometric version of the inverse problem of the calculus of variations for discrete mechanics and constrained discrete mechanics. The geometric approach consists of us…
Second-order variational problems on Lie groupoids and optimal control applications
Leonardo Colombo, David Martin de Diego
In this paper we study, from a variational and geometrical point of view, second-order variational problems on Lie groupoids and the construction of variational integrators for opt…
The LEAP of Pulsars in the Milky Way
M. M. McKinnon
The location of objects on the celestial sphere is a fundamental measurement in astronomy, and the distribution of these objects within the Milky Way is important for understanding…