77 citations · 818 across the 61 of their papers we have counts for
4 papers · 2 filters
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…
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…