60 citations · 275 across the 21 of their papers we have counts for
21 papers
Symmetry reduction and reconstruction in contact geometry and Lagrange-Poincaré-Herglotz equations
Alexandre Anahory Simoes, Leonardo Colombo, Manuel de Leon +2
In this paper, we investigate the reduction process of a contact Lagrangian system whose Lagrangian is invariant under a group of symmetries. We give explicit coordinate expression…
Contact formalism for dissipative mechanical systems on Lie algebroids
Alexandre Anahory Simoes, Leonardo Colombo, Manuel de Leon +2
In this paper, we introduce a geometric description of contact Lagrangian and Hamiltonian systems on Lie algebroids in the framework of contact geometry, using the theory of prolon…
Jacobi structure for dissipative mechanical systems on Lie Algebroids
Alexandre Anahory Simoes, Leonardo Colombo, Manuel de Leon +2
We extend the Jacobi structure from and to and , respectively, where is a Lie alge…
Some contributions to k-contact Lagrangian field equations, symmetries and dissipation laws
Xavier Rivas, Modesto Salgado, Silvia Souto
It is well known that k-contact geometry is a suitable framework to deal with non-conservative field theories. In this paper, we study some relations between solutions of the k-con…
Tulczyjew's derivations and intrinsic field equations in classical field theories
Modesto Salgado, Silvia Vilariño
This work presents the variational principles and the intrinsic versions of several equations in field theories, in particular, for the Classical Euler-Lagrange field equations, th…
Symmetry reduction, integrability and reconstruction in k-symplectic field theory
L. Bua, T. Mestdag, M. Salgado
We investigate the reduction process of a k-symplectic field theory whose Lagrangian is invariant under a symmetry group. We give explicit coordinate expressions of the resulting r…