77 citations · 818 across the 61 of their papers we have counts for
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math-ph2011
Kinematic reduction and the Hamilton-Jacobi equation
María Barbero-Liñán, Manuel de León, Juan Carlos Marrero +2
A close relationship between the classical Hamilton-Jacobi theory and the kinematic reduction of control systems by decoupling vector fields is shown in this paper. The geometric i…
math-ph2011★ 13 cited
Hamiltonian dynamics and constrained variational calculus: continuous and discrete settings
Manuel de Leon, Fernando Jimenez, David Martin de Diego
The aim of this paper is to study the relationship between Hamiltonian dynamics and constrained variational calculus. We describe both using the notion of Lagrangian submanifolds o…