Emergent behaviors of a thermodynamic Cucker‐Smale flock with a time‐delay on a general digraph
We present emergent flocking dynamics of a thermodynamic Cucker‐Smale (TCS) flock on a general digraph with spanning trees under the effect of communication time‐delays. The TCS model describes a temporal evolution of mechanical and thermodynamic observables such as position, velocity and temperatur...
Gespeichert in:
| Veröffentlicht in: | Mathematical methods in the applied sciences 2022-01, Vol.45 (1), p.164-196 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 196 |
|---|---|
| container_issue | 1 |
| container_start_page | 164 |
| container_title | Mathematical methods in the applied sciences |
| container_volume | 45 |
| creator | Cho, Hangjun Dong, Jiu‐Gang Ha, Seung‐Yeal |
| description | We present emergent flocking dynamics of a thermodynamic Cucker‐Smale (TCS) flock on a general digraph with spanning trees under the effect of communication time‐delays. The TCS model describes a temporal evolution of mechanical and thermodynamic observables such as position, velocity and temperature of CS particles. In this paper, we study how variations in mechanical and thermodynamic variables can decay to zero along a time‐independent network with position dependent weights from initial state configuration. For this, we provide a sufficient framework for a mechanical and thermodynamical flocking in terms of initial configuration, network topology, and system parameters. We also present several numerical examples and compare them with analytical results. |
| doi_str_mv | 10.1002/mma.7771 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2610013168</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2610013168</sourcerecordid><originalsourceid>FETCH-LOGICAL-c2931-2a3508819a8901268e0c88d69a901464fb55bcaf29cac04d367d70eea84f80463</originalsourceid><addsrcrecordid>eNp1kE1OwzAQRi0EEqUgcQRLbNikjB3XcZZVVX6kViyAteU6kyZtnBQnpcqOI3BGToJL2bIazXxP30iPkGsGIwbA75wzoyRJ2AkZMEjTiIlEnpIBsAQiwZk4JxdtuwYAxRgfEDtz6FdYd3SJhfkoG9_SJqeGdgV612R9bVxp6XRnN-i_P79enKmQ5lVjN3RfdsWBLB2GJMPK9LSpwyX0oTcVzcqVN9vikpzlpmrx6m8Oydv97HX6GM2fH56mk3lkeRqziJt4DEqx1KgUGJcKwSqVydSEVUiRL8fjpTU5T62xILJYJlkCiEaJXIGQ8ZDcHHu3vnnfYdvpdbPzdXipuQxyWMykCtTtkbK-aVuPud760hnfawb6oFAHhfqgMKDREd2XFfb_cnqxmPzyP3d-c1Q</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2610013168</pqid></control><display><type>article</type><title>Emergent behaviors of a thermodynamic Cucker‐Smale flock with a time‐delay on a general digraph</title><source>Wiley-Blackwell Journals (Backfile Content)</source><creator>Cho, Hangjun ; Dong, Jiu‐Gang ; Ha, Seung‐Yeal</creator><creatorcontrib>Cho, Hangjun ; Dong, Jiu‐Gang ; Ha, Seung‐Yeal</creatorcontrib><description>We present emergent flocking dynamics of a thermodynamic Cucker‐Smale (TCS) flock on a general digraph with spanning trees under the effect of communication time‐delays. The TCS model describes a temporal evolution of mechanical and thermodynamic observables such as position, velocity and temperature of CS particles. In this paper, we study how variations in mechanical and thermodynamic variables can decay to zero along a time‐independent network with position dependent weights from initial state configuration. For this, we provide a sufficient framework for a mechanical and thermodynamical flocking in terms of initial configuration, network topology, and system parameters. We also present several numerical examples and compare them with analytical results.</description><identifier>ISSN: 0170-4214</identifier><identifier>EISSN: 1099-1476</identifier><identifier>DOI: 10.1002/mma.7771</identifier><language>eng</language><publisher>Freiburg: Wiley Subscription Services, Inc</publisher><subject>communication time‐delay ; Configurations ; Cucker‐Smale model ; flocking ; Graph theory ; multi‐agent systems ; Network topologies</subject><ispartof>Mathematical methods in the applied sciences, 2022-01, Vol.45 (1), p.164-196</ispartof><rights>2021 John Wiley & Sons, Ltd.</rights><rights>2022 John Wiley & Sons, Ltd.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c2931-2a3508819a8901268e0c88d69a901464fb55bcaf29cac04d367d70eea84f80463</citedby><cites>FETCH-LOGICAL-c2931-2a3508819a8901268e0c88d69a901464fb55bcaf29cac04d367d70eea84f80463</cites><orcidid>0000-0001-5372-7770</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fmma.7771$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fmma.7771$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,780,784,1417,27924,27925,45574,45575</link.rule.ids></links><search><creatorcontrib>Cho, Hangjun</creatorcontrib><creatorcontrib>Dong, Jiu‐Gang</creatorcontrib><creatorcontrib>Ha, Seung‐Yeal</creatorcontrib><title>Emergent behaviors of a thermodynamic Cucker‐Smale flock with a time‐delay on a general digraph</title><title>Mathematical methods in the applied sciences</title><description>We present emergent flocking dynamics of a thermodynamic Cucker‐Smale (TCS) flock on a general digraph with spanning trees under the effect of communication time‐delays. The TCS model describes a temporal evolution of mechanical and thermodynamic observables such as position, velocity and temperature of CS particles. In this paper, we study how variations in mechanical and thermodynamic variables can decay to zero along a time‐independent network with position dependent weights from initial state configuration. For this, we provide a sufficient framework for a mechanical and thermodynamical flocking in terms of initial configuration, network topology, and system parameters. We also present several numerical examples and compare them with analytical results.</description><subject>communication time‐delay</subject><subject>Configurations</subject><subject>Cucker‐Smale model</subject><subject>flocking</subject><subject>Graph theory</subject><subject>multi‐agent systems</subject><subject>Network topologies</subject><issn>0170-4214</issn><issn>1099-1476</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp1kE1OwzAQRi0EEqUgcQRLbNikjB3XcZZVVX6kViyAteU6kyZtnBQnpcqOI3BGToJL2bIazXxP30iPkGsGIwbA75wzoyRJ2AkZMEjTiIlEnpIBsAQiwZk4JxdtuwYAxRgfEDtz6FdYd3SJhfkoG9_SJqeGdgV612R9bVxp6XRnN-i_P79enKmQ5lVjN3RfdsWBLB2GJMPK9LSpwyX0oTcVzcqVN9vikpzlpmrx6m8Oydv97HX6GM2fH56mk3lkeRqziJt4DEqx1KgUGJcKwSqVydSEVUiRL8fjpTU5T62xILJYJlkCiEaJXIGQ8ZDcHHu3vnnfYdvpdbPzdXipuQxyWMykCtTtkbK-aVuPud760hnfawb6oFAHhfqgMKDREd2XFfb_cnqxmPzyP3d-c1Q</recordid><startdate>20220115</startdate><enddate>20220115</enddate><creator>Cho, Hangjun</creator><creator>Dong, Jiu‐Gang</creator><creator>Ha, Seung‐Yeal</creator><general>Wiley Subscription Services, Inc</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><orcidid>https://orcid.org/0000-0001-5372-7770</orcidid></search><sort><creationdate>20220115</creationdate><title>Emergent behaviors of a thermodynamic Cucker‐Smale flock with a time‐delay on a general digraph</title><author>Cho, Hangjun ; Dong, Jiu‐Gang ; Ha, Seung‐Yeal</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2931-2a3508819a8901268e0c88d69a901464fb55bcaf29cac04d367d70eea84f80463</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>communication time‐delay</topic><topic>Configurations</topic><topic>Cucker‐Smale model</topic><topic>flocking</topic><topic>Graph theory</topic><topic>multi‐agent systems</topic><topic>Network topologies</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Cho, Hangjun</creatorcontrib><creatorcontrib>Dong, Jiu‐Gang</creatorcontrib><creatorcontrib>Ha, Seung‐Yeal</creatorcontrib><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><jtitle>Mathematical methods in the applied sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Cho, Hangjun</au><au>Dong, Jiu‐Gang</au><au>Ha, Seung‐Yeal</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Emergent behaviors of a thermodynamic Cucker‐Smale flock with a time‐delay on a general digraph</atitle><jtitle>Mathematical methods in the applied sciences</jtitle><date>2022-01-15</date><risdate>2022</risdate><volume>45</volume><issue>1</issue><spage>164</spage><epage>196</epage><pages>164-196</pages><issn>0170-4214</issn><eissn>1099-1476</eissn><abstract>We present emergent flocking dynamics of a thermodynamic Cucker‐Smale (TCS) flock on a general digraph with spanning trees under the effect of communication time‐delays. The TCS model describes a temporal evolution of mechanical and thermodynamic observables such as position, velocity and temperature of CS particles. In this paper, we study how variations in mechanical and thermodynamic variables can decay to zero along a time‐independent network with position dependent weights from initial state configuration. For this, we provide a sufficient framework for a mechanical and thermodynamical flocking in terms of initial configuration, network topology, and system parameters. We also present several numerical examples and compare them with analytical results.</abstract><cop>Freiburg</cop><pub>Wiley Subscription Services, Inc</pub><doi>10.1002/mma.7771</doi><tpages>33</tpages><orcidid>https://orcid.org/0000-0001-5372-7770</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0170-4214 |
| ispartof | Mathematical methods in the applied sciences, 2022-01, Vol.45 (1), p.164-196 |
| issn | 0170-4214 1099-1476 |
| language | eng |
| recordid | cdi_proquest_journals_2610013168 |
| source | Wiley-Blackwell Journals (Backfile Content) |
| subjects | communication time‐delay Configurations Cucker‐Smale model flocking Graph theory multi‐agent systems Network topologies |
| title | Emergent behaviors of a thermodynamic Cucker‐Smale flock with a time‐delay on a general digraph |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-28T06%3A50%3A10IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Emergent%20behaviors%20of%20a%20thermodynamic%20Cucker%E2%80%90Smale%20flock%20with%20a%20time%E2%80%90delay%20on%20a%20general%20digraph&rft.jtitle=Mathematical%20methods%20in%20the%20applied%20sciences&rft.au=Cho,%20Hangjun&rft.date=2022-01-15&rft.volume=45&rft.issue=1&rft.spage=164&rft.epage=196&rft.pages=164-196&rft.issn=0170-4214&rft.eissn=1099-1476&rft_id=info:doi/10.1002/mma.7771&rft_dat=%3Cproquest_cross%3E2610013168%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2610013168&rft_id=info:pmid/&rfr_iscdi=true |