Reports de recerca
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Hamilton-Jacobi theory in multisymplectic classical field theories
(2015-04-08)
Research report
Open AccessThe geometric framework for the Hamilton-Jacobi theory developed in [14, 17, 39] is extended for multisymplectic first-order classical field theories. The Hamilton-Jacobi problema is stated for the Lagrangian and the ... -
Geometric Hamilton-Jacobi theory for higher-order autonomous systems
(2013-09-09)
Research report
Open AccessThe 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 ... -
Unified formalism for the generalized kth-order Hamilton-Jacobi problem
(2013-10-03)
Research report
Open AccessThe geometric formulation of the Hamilton-Jacobi theory enables u s to generalize it to systems of higher-order ordinary differential equations. In this w ork we introduce the unified Lagrangian-Hamiltonian formalism ... -
Reduction of polysymplectic manifolds
(2013-06-06)
Research report
Open AccessThe aim of this paper is to generalize the classical Marsden- Weinstein reduction procedure for symplectic manifolds to polysymplectic manifolds in or der to obtain quotient manifolds which in- herit the polysymplectic ... -
Lagrangian-Hamiltonian unified formalism for autonomous higher-order dynamical systems
(2011-07-18)
Research report
Restricted access - confidentiality agreementResearch paper -
On a kind of Noether symmetries and conservation laws in k-cosymplectic field theory
(2010-09-15)
Research report
Open AccessThis 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 ... -
Geometric Hamilton-Jacobi theory for nonholonomic dynamical systems
(2009-08-14)
Research report
Open AccessThe geometric formulation of Hamilton--Jacobi theory for systems with nonholonomic constraints is developed, following the ideas of the authors in previous papers. The relation between the solutions of the Hamilton--Jacobi ... -
Conservació de l'estructura PHS en reduccions d'ordre per truncament equilibrat
(2008-01-16)
Research report
Open Access
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