77 citations · 818 across the 61 of their papers we have counts for
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Hamilton-Jacobi theory, Symmetries and Coisotropic Reduction
Manuel de León, David Martín de Diego, Miguel Vaquero
Reduction theory has played a major role in the study of Hamiltonian systems. On the other hand, the Hamilton-Jacobi theory is one of the main tools to integrate the dynamics of ce…
Hamilton-Jacobi Equations for Nonholonomic Reducible Hamiltonian Systems on a Cotangent Bundle
Manuel de León, Hong Wang
In this paper, for a variety of nonholonomic (reducible) Hamiltonian systems, we first give to various distributional Hamiltonian systems, by analyzing carefully the dynamics and s…
Hamilton-Jacobi theory in multisymplectic classical field theories
Manuel de León, Pedro Daniel Prieto-Martínez, Narciso Román-Roy +1
The geometric framework for the Hamilton-Jacobi theory developed in previous works is extended for multisymplectic first-order classical field theories. The Hamilton-Jacobi problem…