77 citations · 818 across the 61 of their papers we have counts for
5 papers · 1 filter
Characteristic distribution: An application to material bodies
V. M. Jiménez, M. de León, M. Epstein
Associated to each material body there exists a groupoid consisting of all the material isomorphisms connecting the points of $\mathcal{…
A Hamilton-Jacobi theory for implicit differential systems
O. Esen, M. de León, C. Sardón
In this paper, we propose a geometric Hamilton-Jacobi theory for systems of implicit differential equations. In particular, we are interested in implicit Hamiltonian systems, descr…
Lie groupoids and algebroids applied to the study of uniformity and homogeneity of Cosserat media
V. M. Jiménez, M. de León, M. Esptein
A Lie groupoid, called \textit{second-order non-holonomic material Lie groupoid}, is associated in a natural way to any Cosserat media. This groupoid is used to give a new definiti…
A geometric Hamilton--Jacobi theory on a Nambu-Jacobi manifold
M. de León, C. Sardón
In this paper we propose a geometric Hamilton--Jacobi theory on a Nambu--Jacobi manifold. The advantange of a geometric Hamilton--Jacobi theory is that if a Hamiltonian vector fiel…
Geometry of the discrete Hamilton--Jacobi equation. Applications in optimal control
M. de León, C. Sardón
In this paper, we review the discrete Hamilton--Jacobi theory from a geometric point of view. In the discrete realm, the usual geometric interpretation of the Hamilton--Jacobi theo…