32 citations · 194 across the 17 of their papers we have counts for
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math-ph2014★ 21 cited
k-symplectic Lie systems: theory and applications
J. de Lucas, S. Vilariño
A Lie system is a system of first-order ordinary differential equations describing the integral curves of a -dependent vector field taking values in a finite-dimensional real Li…
math-ph2014★ 5 cited
Symmetries in Lagrangian Field Theory
Lucía Búa, Ioan Bucataru, Manuel de León +2
By generalizing the cosymplectic setting for time-dependent Lagrangian mechanics, we propose a geometric framework for the Lagrangian formulation of classical field theories with a…