254 citations
- Universidad de ZaragozaES26 papers
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math-ph2022
Reduction and reconstruction of multisymplectic Lie systems
Javier de Lucas, Xavier Gràcia, Xavier Rivas +2
A Lie system is a non-autonomous system of first-order ordinary differential equations describing the integral curves of a non-autonomous vector field taking values in a finite-dim…
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-ph2006★ 13 cited
k-cosymplectic classical field theories: Tulczyjew, Skinner--Rusk and Lie-algebroid formulations
Angel M. Rey, Narciso Roman-Roy, Modesto Salgado +1
The k-cosymplectic Lagrangian and Hamiltonian formalisms of first-order field theories are reviewed and completed. In particular, they are stated for singular and almost-regular sy…