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dc.contributor.authorDegond, Pierre
dc.contributor.authorFrouvelle, Amic
dc.contributor.authorMerino-Aceituno, Sara
dc.contributor.authorTrescases, Ariane
dc.date.accessioned2019-04-18T12:30:59Z
dc.date.available2019-04-18T12:30:59Z
dc.date.issued2018
dc.identifier.issn1540-3459
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/18701
dc.language.isoenen
dc.subjectbody attitude coordinationen
dc.subjectquaternionsen
dc.subjectcollective motionen
dc.subjectnematic alignmenten
dc.subjectQ-tensoren
dc.subjectVicsek modelen
dc.subjectgeneralized collision invarianten
dc.subjectdry active matteren
dc.subjectself-organized hydrodynamicsen
dc.subject.ddc515en
dc.titleQuaternions in Collective Dynamicsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe introduce a model of multiagent dynamics for self-organized motion; individuals travel at a constant speed while trying to adopt the averaged body attitude of their neighbors. The body attitudes are represented through unitary quaternions. We prove the correspondence with the model presented in [P. Degond, A. Frouvelle, and S. Merino-Aceituno, Math. Models Methods Appl. Sci., 27 (2017), pp. 1005--1049], where the body attitudes are represented by rotation matrices. Differently from this previous work, the individual-based model introduced here is based on nematic (rather than polar) alignment. From the individual-based model, the kinetic and macroscopic equations are derived. The benefit of this approach, in contrast to that of the previous one, is twofold: first, it allows for a better understanding of the macroscopic equations obtained and, second, these equations are prone to numerical studies, which is key for applications.en
dc.relation.isversionofjnlnameMultiscale Modeling and Simulation: A SIAM Interdisciplinary Journal
dc.relation.isversionofjnlvol16en
dc.relation.isversionofjnlissue1en
dc.relation.isversionofjnldate2018
dc.relation.isversionofjnlpages28-77en
dc.relation.isversionofdoi10.1137/17M1135207en
dc.relation.isversionofjnlpublisherSIAM - Society for Industrial and Applied Mathematicsen
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2019-03-27T10:37:12Z
hal.person.labIds4553
hal.person.labIds60
hal.person.labIds4553
hal.person.labIds1954


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