891 citations · 2.9k across the 74 of their papers we have counts for
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math-ph2006★ 7 cited
Chetaev vs. vakonomic prescriptions in constrained field theories with parametrized variational calculus
Enrico Bibbona, Lorenzo Fatibene, Mauro Francaviglia
Starting from a characterization of admissible Cheataev and vakonomic variations in a field theory with constraints we show how the so called parametrized variational calculus can…
math-ph2006
On the Variational Characterisation of Generalized Jacobi Equations
Biagio Casciaro, Mauro Francaviglia, Victor Tapia
We study higher--order variational derivatives of a generic second--order Lagrangian and in this context we discuss the Jacobi equati…
math-ph2006
Gauge-natural parameterized variational problems, vakonomic field theories and relativistic hydrodynamics of a charged fluid
Enrico Bibbona, Lorenzo Fatibene, Mauro Francaviglia
Variational principles for field theories where variations of fields are restricted along a parametrization are considered. In particular, gauge-natural parametrized variational pr…