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Article: Phase-plane analysis of conserved higher-order traffic flow model
Title | Phase-plane analysis of conserved higher-order traffic flow model |
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Authors | |
Keywords | Lagrange coordinates Phase-plane analysis Traffic congestion pattern Traffic flow |
Issue Date | 2012 |
Publisher | Springer 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? |
Abstract | The 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 Identifier | http://hdl.handle.net/10722/181658 |
ISSN | 2023 Impact Factor: 4.5 2023 SCImago Journal Rankings: 0.729 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Wu, CX | - |
dc.contributor.author | Song, T | - |
dc.contributor.author | Zhang, P | - |
dc.contributor.author | Wong, SC | - |
dc.date.accessioned | 2013-03-19T03:52:16Z | - |
dc.date.available | 2013-03-19T03:52:16Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | Applied Mathematics and Mechanics, 2012, v. 33 n. 12, p. 1505-1512 | - |
dc.identifier.issn | 0253-4827 | - |
dc.identifier.uri | http://hdl.handle.net/10722/181658 | - |
dc.description.abstract | The 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.language | eng | - |
dc.publisher | Springer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0253-4827 | - |
dc.relation.ispartof | Applied Mathematics and Mechanics | - |
dc.rights | The original publication is available at www.springerlink.com | - |
dc.subject | Lagrange coordinates | - |
dc.subject | Phase-plane analysis | - |
dc.subject | Traffic congestion pattern | - |
dc.subject | Traffic flow | - |
dc.title | Phase-plane analysis of conserved higher-order traffic flow model | - |
dc.type | Article | - |
dc.identifier.email | Wong, SC: hhecwsc@hku.hk | - |
dc.identifier.authority | Wong, SC=rp00191 | - |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.1007/s10483-012-1640-x | - |
dc.identifier.scopus | eid_2-s2.0-84868252161 | - |
dc.identifier.hkuros | 213533 | - |
dc.identifier.volume | 33 | - |
dc.identifier.issue | 12 | - |
dc.identifier.spage | 1505 | - |
dc.identifier.epage | 1512 | - |
dc.identifier.isi | WOS:000312205200003 | - |
dc.publisher.place | Netherlands | - |
dc.identifier.issnl | 0253-4827 | - |