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Article: Phase-plane analysis of conserved higher-order traffic flow model

TitlePhase-plane analysis of conserved higher-order traffic flow model
Authors
Wu, CXSong, TZhang, PWong, SC
KeywordsLagrange coordinates
Phase-plane analysis
Traffic congestion pattern
Traffic flow
Issue Date2012
PublisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0253-4827
Citation
Applied Mathematics and Mechanics, 2012, v. 33 n. 12, p. 1505-1512 How to Cite?
DOI: http://dx.doi.org/10.1007/s10483-012-1640-x
AbstractThe phase-plane analysis is used to study the traveling wave solution of a recently proposed higher-order traffic flow model under the Lagrange coordinate system. The analysis identifies the types and stabilities of the equilibrium solutions, and the overall distribution structure of the nearby solutions is drawn in the phase plane for the further analysis and comparison. The analytical and numerical results are in agreement, and may help to explain the simulated phenomena, such as the stop-and-go wave and oscillation near a bottleneck. The findings demonstrate the model ability to describe the complexity of congested traffic.
Persistent Identifierhttp://hdl.handle.net/10722/181658
ISSN
0253-4827
2021 Impact Factor: 3.918
2020 SCImago Journal Rankings: 0.499
ISI Accession Number ID
WOS:000312205200003

 

DC FieldValueLanguage
dc.contributor.authorWu, CX-
dc.contributor.authorSong, T-
dc.contributor.authorZhang, P-
dc.contributor.authorWong, SC-
dc.date.accessioned2013-03-19T03:52:16Z-
dc.date.available2013-03-19T03:52:16Z-
dc.date.issued2012-
dc.identifier.citationApplied Mathematics and Mechanics, 2012, v. 33 n. 12, p. 1505-1512-
dc.identifier.issn0253-4827-
dc.identifier.urihttp://hdl.handle.net/10722/181658-
dc.description.abstractThe phase-plane analysis is used to study the traveling wave solution of a recently proposed higher-order traffic flow model under the Lagrange coordinate system. The analysis identifies the types and stabilities of the equilibrium solutions, and the overall distribution structure of the nearby solutions is drawn in the phase plane for the further analysis and comparison. The analytical and numerical results are in agreement, and may help to explain the simulated phenomena, such as the stop-and-go wave and oscillation near a bottleneck. The findings demonstrate the model ability to describe the complexity of congested traffic.-
dc.languageeng-
dc.publisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0253-4827-
dc.relation.ispartofApplied Mathematics and Mechanics-
dc.rightsThe original publication is available at www.springerlink.com-
dc.subjectLagrange coordinates-
dc.subjectPhase-plane analysis-
dc.subjectTraffic congestion pattern-
dc.subjectTraffic flow-
dc.titlePhase-plane analysis of conserved higher-order traffic flow model-
dc.typeArticle-
dc.identifier.emailWong, SC: hhecwsc@hku.hk-
dc.identifier.authorityWong, SC=rp00191-
dc.description.naturepostprint-
dc.identifier.doi10.1007/s10483-012-1640-x-
dc.identifier.scopuseid_2-s2.0-84868252161-
dc.identifier.hkuros213533-
dc.identifier.volume33-
dc.identifier.issue12-
dc.identifier.spage1505-
dc.identifier.epage1512-
dc.identifier.isiWOS:000312205200003-
dc.publisher.placeNetherlands-
dc.identifier.issnl0253-4827-

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