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Constrained Lagrangian dissipative contact dynamics
dc.contributor.author | de León Rodríguez, Manuel |
dc.contributor.author | Lainz Valcázar, Manuel |
dc.contributor.author | Muñoz Lecanda, Miguel Carlos |
dc.contributor.author | Román Roy, Narciso |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2022-03-07T10:41:23Z |
dc.date.available | 2022-12-28T01:31:39Z |
dc.date.issued | 2021-12-28 |
dc.identifier.citation | De Leó, M. [et al.]. Constrained Lagrangian dissipative contact dynamics. "Journal of mathematical physics", 28 Desembre 2021, vol. 62, núm. article 122902. |
dc.identifier.issn | 0022-2488 |
dc.identifier.other | https://arxiv.org/abs/2109.05295v2 |
dc.identifier.uri | http://hdl.handle.net/2117/363512 |
dc.description.abstract | We show that the contact dynamics obtained from the Herglotz variational principle can be described as a constrained nonholonomic or vakonomic ordinary Lagrangian system depending on a dissipative variable with an adequate choice of one constraint. As a consequence, we obtain the dynamics of contact nonholonomic and vakonomic systems as an ordinary variational calculus with constraints on a Lagrangian with a dissipative variable. The variation of the energy and the other dissipative quantities is also obtained, giving the usual results. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria diferencial |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
dc.subject.lcsh | Hamiltonian systems |
dc.subject.lcsh | Symplectic geometry |
dc.subject.lcsh | Mechanics |
dc.subject.other | Lagrangian and Hamiltonian formalisms |
dc.subject.other | Contact mechanics |
dc.subject.other | Contact manifolds |
dc.subject.other | Holonomic and vakonomic systems |
dc.subject.other | Variational methods |
dc.title | Constrained Lagrangian dissipative contact dynamics |
dc.type | Article |
dc.subject.lemac | Hamilton, Sistemes de |
dc.subject.lemac | Geometria simplèctica |
dc.subject.lemac | Mecànica |
dc.contributor.group | Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions |
dc.identifier.doi | 10.1063/5.0071236 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems |
dc.subject.ams | Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry |
dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems::70G General models, approaches, and methods |
dc.relation.publisherversion | https://aip.scitation.org/doi/10.1063/5.0071236 |
dc.rights.access | Open Access |
local.identifier.drac | 32776599 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | de Leó, M.; Lainz, M.; Muñoz-Lecanda, Miguel C.; Roman-Roy, N. |
local.citation.publicationName | Journal of mathematical physics |
local.citation.volume | 62 |
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