103 citations · 717 across the 28 of their papers we have counts for
3 papers · 1 filter
Geometric Hamilton-Jacobi Theory for Nonholonomic Dynamical Systems
J. F. Cariñena, X. Gracia, G. Marmo +3
The geometric formulation of Hamilton--Jacobi theory for systems with nonholonomic constraints is developed, following the ideas of the authors in previous papers. The relation bet…
Hamilton-Jacobi theory and the evolution operator
J. F. Carinena, X. Gracia, E. Martinez +3
We present a new setting of the geometric Hamilton-Jacobi theory by using the so-called time-evolution operator K. This new approach unifies both the Lagrangian and the Hamiltonian…
Constraint algorithm for k-presymplectic Hamiltonian systems. Application to singular field theories
Xavier Gracia, Ruben Martin, Narciso Roman-Roy
The k-symplectic formulation of field theories is especially simple, since only tangent and cotangent bundles are needed in its description. Its defining elements show a close rela…