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Regularity properties of fiber derivatives associated with higher-order mechanical systems
dc.contributor.author | Colombo, Leonardo |
dc.contributor.author | Prieto Martínez, Pedro Daniel |
dc.date.accessioned | 2017-05-04T10:50:10Z |
dc.date.available | 2017-08-30T00:30:37Z |
dc.date.issued | 2016-08 |
dc.identifier.citation | Colombo, L., P. P. Regularity properties of fiber derivatives associated with higher-order mechanical systems. "Journal of mathematical physics", Agost 2016, vol. 57, núm. 8, p. 082901-1-082901-25. |
dc.identifier.issn | 0022-2488 |
dc.identifier.uri | http://hdl.handle.net/2117/104055 |
dc.description.abstract | The aim of this work is to study fiber derivatives associated to Lagrangian and Hamiltonian functions describing the dynamics of a higher-order autonomous dynamical system. More precisely, given a function in T*T(k-1)Q, we find necessary and sufficient conditions for such a function to describe the dynamics of a kth-order autonomous dynamical system, thus being a kth-order Hamiltonian function. Then, we give a suitable definition of (hyper)regularity for these higher-order Hamiltonian functions in terms of their fiber derivative. In addition, we also study an alternative characterization of the dynamics in Lagrangian submanifolds in terms of the solutions of the higher-order Euler-Lagrange equations. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
dc.title | Regularity properties of fiber derivatives associated with higher-order mechanical systems |
dc.type | Article |
dc.contributor.group | Universitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions |
dc.identifier.doi | 10.1063/1.4960822 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics |
dc.subject.ams | Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry |
dc.relation.publisherversion | http://aip.scitation.org/doi/10.1063/1.4960822 |
dc.rights.access | Open Access |
local.identifier.drac | 19783908 |
dc.description.version | Postprint (published version) |
local.citation.author | Colombo, L.; Prieto-Martínez, P.D. |
local.citation.publicationName | Journal of mathematical physics |
local.citation.volume | 57 |
local.citation.number | 8 |
local.citation.startingPage | 082901-1 |
local.citation.endingPage | 082901-25 |
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