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Lagrangian theory for presymplectic systems

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

TLDR

MULTISYMPLECTIC LAGRANGIAN AND HAMILTONIAN FORMALISMS OF FIRST-ORDER CLASSICAL FIELD THEORIES

- N. R. Roy
- Physics
- 3 March 2006

This review paper is devoted to presenting the standard multisymplectic formulation for
describing geometrically first-order classical field theories, both the regular and singular cases. First, the… Expand

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

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

Lie-algebroid formulation of k-cosymplectic classical field theories

- N. R. Roy, M. Salgado, S. Vilariño
- Mathematics
- 2009

The k-cosymplectic formalism is the generalization to field theories of the cosymplectic formalism, which is the geometric framework for describing non-autonomous dynamical systems.
In [5], A.… Expand

SOPDEs and nonlinear connections

- N. R. Roy, Modesto Salgado Seco, Silvia Vilariño Fernández
- Physics
- 1 February 2011

The canonical k-tangent structure on T1
kQ = TQ :k: : TQ allows us to characterize
nonlinear connections on T1
kQ and to develop G¨unther�s (k-symplectic) Lagrangian
formalism. We study the… Expand

Master of Science in Advanced Mathematics and Mathematical Engineering

- Mónica Aymerich Valls, J. Marrero, N. R. Roy
- Mathematics
- 2011

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

Some topics concerning the theory of singular dynamical systems

- N. R. Roy
- Mathematics, Physics
- 1 March 2006

Some subjects related to the geometric theory of singular dynamical systems are reviewed in this paper. In particular, the following two
matters are considered: the theory of canonical… Expand

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