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Lagrangian theory for presymplectic systems

- M. C. M. Lecanda, N. R. Roy
- Computer Science, Mathematics
- 1992

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Hamiltonian Systems in Multisymplectic Field Theories

- A. E. Enríquez, M. León, M. C. M. Lecanda, N. R. Roy
- Mathematics, Physics
- 20 June 2005

We consider Hamiltonian systems in first-order multisymplectic field theories. First we review the construction and properties of Hamiltonian systems in the so-called restricted multimomentum bundle… Expand

Multivector Fields and Connections. Applications to field theories

- A. Echeverŕıa-Enŕıquez, M. C. M. Lecanda, N. R. Roy
- Mathematics
- 2002

Hamiltonian systems with constraints: a geometric approach

- M. C. M. Lecanda
- Mathematics, Physics
- 1 November 1989

Hamilton-Dirac equations for a constrained Hamiltonian system are deduced from a variational principle. In the local problem for such systems an algorithm is proposed to obtain the final constraint… Expand

Constraint algorithm for singular field theories

- N. R. Roy, Manuel de León Rodríguez, Juan Carlos Marrero González, M. C. M. Lecanda, J. Marín-Solano
- Mathematics
- 2005

It is well known that for systems of ODE’s describing singular dynamical systems, the existence and uniqueness of solutions are not assured. In many of these cases, there are geometrical constraint… Expand

Skinner-Rusk formalism for optimal control

- M. B. Liñán, A. E. Enríquez, D. M. Diego, M. C. M. Lecanda, N. R. Roy
- Mathematics
- 1 December 2006

In 1983, the dynamics of a mechanical system was represented by a first-order system on a suitable phase space by R. Skinner and R. Rusk. The corresponding unified formalism developed for optimal… Expand

1 2 6 A pr 2 00 6 GEOMETRIC HAMILTON – JACOBI THEORY

- J. Cariñena, Xavier Gràcia, G. Marmo, E. Martínez, M. C. M. Lecanda
- Mathematics
- 2006

The Hamilton–Jacobi problem is revisited bearing in mind the consequences arising from a possible bi-Hamiltonian structure. The problem is formulated on the tangent bundle for Lagrangian systems in… Expand

Geometrical Setting of Time-Dependent Regular Systems:. Alternative Models.

- A. E. Enríquez, M. C. M. Lecanda, N. R. Roy
- Mathematics, Physics
- 1 September 1991

We analyse exhaustively the geometric formulations of the time-dependent regular dynamical systems, both the Hamiltonian and the Lagrangian formalisms. We study the equivalence between the different… Expand

A pr 2 01 6 Structural aspects of Hamilton – Jacobi theory

- J. Cariñena, Xavier Gràcia, G. Marmo, E. Martínez, M. C. M. Lecanda, N. R. Roy
- Mathematics
- 2018

In our previous papers [11, 13] we showed that the Hamilton–Jacobi problem can be regarded as a way to describe a given dynamics on a phase space manifold in terms of a family of dynamics on a… Expand