http://hdl.handle.net/2117/3204 Sun, 19 May 2013 18:10:14 GMT 2013-05-19T18:10:14Z webmaster.bupc@upc.edu Universitat Politècnica de Catalunya. Servei de Biblioteques i Documentació no http://hdl.handle.net/2117/13114 Title: Lagrangian-Hamiltonian unified formalism for autonomous higher-order dynamical systems Authors: Prieto Martínez, Pedro Daniel; Román Roy, Narciso Abstract: Research paper Thu, 25 Aug 2011 10:35:53 GMT http://hdl.handle.net/2117/13114 2011-08-25T10:35:53Z Prieto Martínez, Pedro Daniel; Román Roy, Narciso no Research paper http://hdl.handle.net/2117/11508 Title: On a kind of Noether symmetries and conservation laws in k-cosymplectic field theory Authors: Marrero González, Juan Carlos; Román Roy, Narciso; Salgado, Modesto; Vilariño, Silvia Abstract: 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 associating conservation laws to them by means of a suitable generalization of Noether’s theorem. Wed, 23 Feb 2011 13:26:00 GMT http://hdl.handle.net/2117/11508 2011-02-23T13:26:00Z Marrero González, Juan Carlos; Román Roy, Narciso; Salgado, Modesto; Vilariño, Silvia no 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 associating conservation laws to them by means of a suitable generalization of Noether’s theorem. http://hdl.handle.net/2117/3052 Title: Geometric Hamilton-Jacobi theory for nonholonomic dynamical systems Authors: Cariñena, José F.; Gràcia Sabaté, Francesc Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso Abstract: The 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 problem with the symplectic structure defined from the Lagrangian function and the constraints is studied. The concept of complete solutions and their relationship with constants of motion, are also studied in detail. Local expressions using quasivelocities are provided. As an example, the nonholonomic free particle is considered. Fri, 18 Sep 2009 14:36:35 GMT http://hdl.handle.net/2117/3052 2009-09-18T14:36:35Z Cariñena, José F.; Gràcia Sabaté, Francesc Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso no Hamilton–Jacobi equation, Nonholonomic Lagrangian system, Quasivelocity, Symplectic manifold, Constant of motion, Complete integral The 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 problem with the symplectic structure defined from the Lagrangian function and the constraints is studied. The concept of complete solutions and their relationship with constants of motion, are also studied in detail. Local expressions using quasivelocities are provided. As an example, the nonholonomic free particle is considered. http://hdl.handle.net/2117/1775 Title: Conservació de l'estructura PHS en reduccions d'ordre per truncament equilibrat Authors: Ras Sabido, Antoni Wed, 05 Mar 2008 17:27:27 GMT http://hdl.handle.net/2117/1775 2008-03-05T17:27:27Z Ras Sabido, Antoni no Sistemes dinàmics, Reducció d'ordre, Sistemes hamiltonians