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dc.contributor.authorColombo, Leonardo
dc.contributor.authorPrieto Martínez, Pedro Daniel
dc.identifier.citationColombo, 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.description.abstractThe 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.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.titleRegularity properties of fiber derivatives associated with higher-order mechanical systems
dc.contributor.groupUniversitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics
dc.subject.amsClassificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry
dc.rights.accessOpen Access
dc.description.versionPostprint (published version)
local.citation.authorColombo, L.; Prieto-Martínez, P.D.
local.citation.publicationNameJournal of mathematical physics

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