77 citations · 818 across the 61 of their papers we have counts for
4 papers · 1 filter
Cosymplectic and contact structures to resolve time-dependent and dissipative hamiltonian systems
M. de León, C. Sardón
In this paper, we apply the geometric Hamilton--Jacobi theory to obtain solutions of classical hamiltonian systems that are either compatible with a cosymplectic or a contact struc…
Lie groupoids and algebroids applied to the study of uniformity and homogeneity of material bodies
V. M. Jiménez, M. de León, M. Epstein
A Lie groupoid, called \textit{material Lie groupoid}, is associated in a natural way to any elastic material. The corresponding Lie algebroid, called \textit{material algebroid},…
On the Geometry of the Hamilton-Jacobi Equation and Generating Functions
Sebastián Ferraro, Manuel de León, Juan Carlos Marrero +2
In this paper we develop a geometric version of the Hamilton-Jacobi equation in the Poisson setting. Specifically, we "geometrize" what is usually called a complete solution of the…
A geometric Hamilton--Jacobi theory for a Nambu--Poisson structure
M. de Leon, C. Sardon
The Hamilton-Jacobi theory is a formulation of Classical Mechanics equivalent to other formulations as Newton's equations, Lagrangian or Hamiltonian Mechanics. It is particulary us…