Lagrangian constraints and differential Thomas decomposition
dc.contributor.author | Gerdt, VP | |
dc.contributor.author | Robertz, D | |
dc.date.accessioned | 2017-03-25T11:05:17Z | |
dc.date.available | 2017-03-25T11:05:17Z | |
dc.date.issued | 2016-01 | |
dc.identifier.issn | 0196-8858 | |
dc.identifier.issn | 1090-2074 | |
dc.identifier.other | C | |
dc.identifier.uri | http://hdl.handle.net/10026.1/8689 | |
dc.description | publisher: Elsevier articletitle: Lagrangian constraints and differential Thomas decomposition journaltitle: Advances in Applied Mathematics articlelink: http://dx.doi.org/10.1016/j.aam.2015.09.005 content_type: article copyright: Crown copyright © 2015 Published by Elsevier Inc. All rights reserved. | |
dc.description.abstract |
In this paper we show how to compute algorithmically the full set of algebraically independent constraints for singular mechanical and field-theoretical models with polynomial Lagrangians. If a model under consideration is not singular as a whole but has domains of dynamical (field) variables where its Lagrangian becomes singular, then our approach allows to detect such domains and compute the relevant constraints. In doing so, we assume that the Lagrangian of a model is a differential polynomial and apply the differential Thomas decomposition algorithm to the Euler-Lagrange equations. | |
dc.format.extent | 113-138 | |
dc.language | en | |
dc.language.iso | en | |
dc.publisher | Elsevier BV | |
dc.subject | Singular Lagrangians | |
dc.subject | Lagrangian constraints | |
dc.subject | Euler-Lagrange equations | |
dc.subject | Thomas decomposition | |
dc.subject | Differential algebra | |
dc.title | Lagrangian constraints and differential Thomas decomposition | |
dc.type | journal-article | |
dc.type | Article | |
dc.type | Proceedings Paper | |
plymouth.author-url | http://arxiv.org/abs/1509.01464v2 | |
plymouth.volume | 72 | |
plymouth.publication-status | Published | |
plymouth.journal | Advances in Applied Mathematics | |
dc.identifier.doi | 10.1016/j.aam.2015.09.005 | |
plymouth.organisational-group | /Plymouth | |
plymouth.organisational-group | /Plymouth/Faculty of Science and Engineering | |
plymouth.organisational-group | /Plymouth/Faculty of Science and Engineering/School of Engineering, Computing and Mathematics | |
plymouth.organisational-group | /Plymouth/Users by role | |
plymouth.organisational-group | /Plymouth/Users by role/Academics | |
dcterms.dateAccepted | 2015-09-04 | |
dc.identifier.eissn | 1090-2074 | |
dc.rights.embargoperiod | Not known | |
rioxxterms.versionofrecord | 10.1016/j.aam.2015.09.005 | |
rioxxterms.licenseref.uri | http://www.rioxx.net/licenses/all-rights-reserved | |
rioxxterms.licenseref.startdate | 2016-01 | |
rioxxterms.type | Journal Article/Review |