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New contributions to the Hamiltonian and Lagrangian contact formalisms for dissipative mechanical systems and their symmetries
dc.contributor.author | Gaset Rifà, Jordi |
dc.contributor.author | Gràcia Sabaté, Francesc Xavier |
dc.contributor.author | Muñoz Lecanda, Miguel Carlos |
dc.contributor.author | Rivas Guijarro, Xavier |
dc.contributor.author | Román Roy, Narciso |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.contributor.other | Universitat Politècnica de Catalunya. Doctorat en Matemàtica Aplicada |
dc.date.accessioned | 2021-01-12T10:52:12Z |
dc.date.available | 2021-05-01T00:28:11Z |
dc.date.issued | 2020-06-01 |
dc.identifier.citation | Gaset, J. [et al.]. New contributions to the Hamiltonian and Lagrangian contact formalisms for dissipative mechanical systems and their symmetries. "International journal of geometric methods in modern physics", 1 Juny 2020, vol. 17, núm. 6, p. 2050090-1-2050090-24. |
dc.identifier.issn | 0219-8878 |
dc.identifier.other | https://arxiv.org/pdf/1907.02947.pdf |
dc.identifier.uri | http://hdl.handle.net/2117/335153 |
dc.description.abstract | We provide new insights into the contact Hamiltonian and Lagrangian formulations of dissipative mechanical systems. In particular, we state a new form of the contact dynamical equations, and we review two recently presented Lagrangian formalisms, studying their equivalence. We define several kinds of symmetries for contact dynamical systems, as well as the notion of dissipation laws, prove a dissipation theorem and give a way to construct conserved quantities. Some well-known examples of dissipative systems are discussed. |
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 |
dc.subject.other | Contact manifold |
dc.subject.other | Dissipative system |
dc.subject.other | Lagrangian formalism |
dc.subject.other | Hamiltonian formalism |
dc.subject.other | Symmetry |
dc.title | New contributions to the Hamiltonian and Lagrangian contact formalisms for dissipative mechanical systems and their symmetries |
dc.type | Article |
dc.contributor.group | Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions |
dc.identifier.doi | 10.1142/S0219887820500905 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics |
dc.relation.publisherversion | https://www.worldscientific.com/doi/abs/10.1142/S0219887820500905 |
dc.rights.access | Open Access |
local.identifier.drac | 29033511 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Gaset, J.; Gràcia, Xavier; Muñoz-Lecanda, Miguel C.; Rivas, X.; Roman-Roy, N. |
local.citation.publicationName | International journal of geometric methods in modern physics |
local.citation.volume | 17 |
local.citation.number | 6 |
local.citation.startingPage | 2050090-1 |
local.citation.endingPage | 2050090-24 |
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