Ara es mostren els items 1-13 de 13

(2010)
Presentació
Accés obert
• #### Geometric Hamilton-Jacobi theory for higher-order autonomous systems ﻿

(2014-06-13)
Article
Accés restringit per política de l'editorial
The geometric framework for the Hamilton-Jacobi theory is used to study this theory in the background of higher-order mechanical systems, in both the Lagrangian and Hamiltonian formalisms. Thus, we state the corresponding ...
• #### Geometric Hamilton-Jacobi theory for higher-order autonomous systems ﻿

(2013-09-09)
Report de recerca
Accés obert
The geometric framework for the Hamilton-Jacobi theory is used to study this theory in the ambient of higher-order mechanical systems, both in the Lagrangian and Hamiltonian formalisms. Thus, we state the corresponding ...
• #### k-cosymplectic formalism in classical field theory: the Skinner–Rusk approach ﻿

(2006-02-14)
Article
Accés obert
The k-cosymplectic Lagrangian and Hamiltonian formalisms of first-order field theories are reviewed and completed. In particular they are stated for singular almost-regular systems. After that, both formalisms are unified ...
• #### Lagrangian Lie subalgebroids of the canonical symplectic Lie algebroid ﻿

(Universitat Politècnica de Catalunya, 2011-02)
Projecte Final de Màster Oficial
Accés obert
It is well-known that the Poisson reduction of a hamiltonian system on the cotangent bundle of a manifold produces a hamiltonian system on a linear Poisson manifold. On the other hand, linear Poisson structures on a vector ...
• #### Lie-algebroid formulation of k-cosymplectic classical field theories ﻿

(2009)
Comunicació de congrés
Accés restringit per política de l'editorial
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. Weinstein introduced a new ...
• #### On a kind of Noether symmetries and conservation laws in k-cosymplectic field theory ﻿

(2010-09-15)
Report de recerca
Accés obert
This paper is devoted to studying symmetries of certain kinds of k-cosymplectic Hamiltonian systems in first-order classical field theories. Thus, we introduce a particular class of symmetries and study the problem of ...
• #### Order reduction, projectability and constrainsts of second-order field theories and higuer-order mechanics ﻿

(2016-12-01)
Article
Accés obert
The consequences of the projectability of Poincar\'e-Cartan forms in a third-order jet bundle $J^3\pi$ to a lower-order jet bundle are analyzed using the constraint algorithm for the Euler-Lagrange equations in $J^3\pi$. ...
• #### Rigidity of hamiltonian actions on poisson manifolds ﻿

(2012)
Article
Accés restringit per política de l'editorial
• #### Some topics concerning the theory of singular dynamical systems ﻿

(2006-03-01)
Article
Accés obert
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 transformations for presymplectic ...
• #### Symmetries and conservation laws in the Gunther k-symplectic formalism of field theory ﻿

(2007-03-12)
Article
Accés obert
This paper is devoted to studying symmetries of k-symplectic Hamiltonian and Lagrangian first-order classical field theories. In particular, we define symmetries and Cartan symmetries and study the problem of ...
• #### Symplectic structures with singularities ﻿

(Universitat Politècnica de Catalunya, 2015-10)
Projecte Final de Màster Oficial
Accés obert
The main goal of the thesis is to classify some particular Poisson structures, called b-Poisson, following results of Guillemin-Miranda-Pirés and Radko. To understand these results, this thesis contains some chapters of ...
• #### Variational principles and symmetries on fibered multisymplectic manifolds ﻿

(2016-12-01)
Article
Accés obert
The standard techniques of variational calculus are geometrically stated in the ambient of fiber bundles endowed with a (pre)multi-symplectic structure. Then, for the corresponding variational equations, conserved quantities ...