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dc.date.accessioned | 2019-11-13T13:52:04Z | |
dc.date.available | 2019-11-13T13:52:04Z | |
dc.date.issued | 2013 | |
dc.identifier.uri | http://sedici.unlp.edu.ar/handle/10915/85473 | |
dc.description.abstract | We briefly review the notion of second order constrained (continuous) system (SOCS) and then propose a discrete time counterpart of it, which we naturally call discrete second order constrained system (DSOCS). To illustrate and test numerically our model, we construct certain integrators that simulate the evolution of two mechanical systems: a particle moving in the plane with prescribed signed curvature, and the inertia wheel pendulum with a Lyapunov constraint. In addition, we prove a local existence and uniqueness result for trajectories of DSOCSs. As a first comparison of the underlying geometric structures, we study the symplectic behavior of both SOCSs and DSOCSs. | en |
dc.format.extent | 381-397 | es |
dc.language | en | es |
dc.subject | Discrete mechanical systems | es |
dc.subject | Geometric mechanics | es |
dc.subject | Nonholonomic mechanics | es |
dc.subject | Second order constraints | es |
dc.title | Discrete second order constrained lagrangian systems: first results | en |
dc.type | Articulo | es |
sedici.identifier.other | doi:10.3934/jgm.2013.5.381 | es |
sedici.identifier.other | eid:2-s2.0-84892601732 | es |
sedici.identifier.issn | 1941-4889 | es |
sedici.creator.person | Borda, Nicolás | es |
sedici.creator.person | Fernández, Javier | es |
sedici.creator.person | Grillo, Sergio | es |
sedici.subject.materias | Matemática | es |
sedici.description.fulltext | true | es |
mods.originInfo.place | Facultad de Ciencias Exactas | es |
sedici.subtype | Articulo | es |
sedici.rights.license | Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) | |
sedici.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
sedici.description.peerReview | peer-review | es |
sedici.relation.journalTitle | Journal of Geometric Mechanics | es |
sedici.relation.journalVolumeAndIssue | vol. 5, no. 4 | es |
sedici.rights.sherpa | * Color: yellow * Pre-print del autor: si * Post-print del autor: restringido * Versión de editor/PDF:no * Condiciones: >>Pre-print on author's personal website, employers website or in free public servers of pre-prints or articles in subject area >>Pre-print si only be posted prior to acceptance >>Pre-print must acknowledge acceptance to publication with set statement (see policy) >>Pre-print to not be updated or replaced with final published version upon publication, instead a link to published version should be provided and set statement amended >>Post-print in institutional repository or centrally organised repositories >>Published source must be acknowledged >>Must link to publisher version >>Set statement to accompany deposit (see policy) >>Publisher's version/PDF no be used >>Publisher last reviewed on 02/10/2014 * Link a Sherpa: http://sherpa.ac.uk/romeo/issn/1941-4889/es/ |