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Unified formalism for the generalized kth-order Hamilton-Jacobi problem
dc.contributor.author | Colombo, Leonardo |
dc.contributor.author | De León, Manuel |
dc.contributor.author | Prieto Martínez, Pedro Daniel |
dc.contributor.author | Román Roy, Narciso |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
dc.date.accessioned | 2015-04-24T11:51:21Z |
dc.date.available | 2015-06-01T02:31:21Z |
dc.date.created | 2014-10-01 |
dc.date.issued | 2014-10-01 |
dc.identifier.citation | Colombo, L. [et al.]. Unified formalism for the generalized kth-order Hamilton-Jacobi problem. "International journal of geometric methods in modern physics", 01 Octubre 2014, vol. 11, núm. 9. |
dc.identifier.issn | 0219-8878 |
dc.identifier.uri | http://hdl.handle.net/2117/27582 |
dc.description.abstract | The geometric formulation of the Hamilton-Jacobi theory enables us to generalize it to systems of higher-order ordinary differential equations. In this work we introduce the unified Lagrangian-Hamiltonian formalism for the geometric Hamilton-Jacobi theory on higher-order autonomous dynamical systems described by regular Lagrangian functions. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria diferencial |
dc.subject.lcsh | Differential equations |
dc.subject.other | Hamilton-Jacobi equation |
dc.subject.other | higher-order Lagrangian and Hamiltonian systems |
dc.subject.other | Skinner-Rusk formalism |
dc.title | Unified formalism for the generalized kth-order Hamilton-Jacobi problem |
dc.type | Article |
dc.subject.lemac | Equacions diferencials |
dc.contributor.group | Universitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions |
dc.identifier.doi | 10.1142/S0219887814600378 |
dc.relation.publisherversion | http://arxiv.org/abs/1310.1071 |
dc.rights.access | Open Access |
local.identifier.drac | 15342048 |
dc.description.version | Postprint (published version) |
dc.relation.projectid | info:eu-repo/grantAgreement/EC/FP7/246981/EU/Geometric Mechanics/GEOMECH |
local.citation.author | Colombo, L.; De León, M.; P.D. Prieto-Martínez; Roman-Roy, N. |
local.citation.publicationName | International journal of geometric methods in modern physics |
local.citation.volume | 11 |
local.citation.number | 9 |
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