77 citations · 818 across the 61 of their papers we have counts for
Showing 2016 · math-phShow all
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math-ph2016★ 77 cited
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…
math-ph2016★ 10 cited
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…
math-ph2016★ 11 cited
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…