{"id":"https://openalex.org/W3077458000","doi":"https://doi.org/10.1016/j.matcom.2020.08.015","title":"Flocking behaviours of a delayed collective model with local rule and critical neighbourhood situation","display_name":"Flocking behaviours of a delayed collective model with local rule and critical neighbourhood situation","publication_year":2020,"publication_date":"2020-08-20","ids":{"openalex":"https://openalex.org/W3077458000","doi":"https://doi.org/10.1016/j.matcom.2020.08.015","mag":"3077458000"},"language":"en","primary_location":{"id":"doi:10.1016/j.matcom.2020.08.015","doi":"https://doi.org/10.1016/j.matcom.2020.08.015","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.matcom.2020.08.015","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Computers in Simulation","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://www.sciencedirect.com/science/article/pii/S0378475420302822","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088710838","display_name":"Jun Wu","orcid":"https://orcid.org/0000-0002-0047-2716","observed_orcids":["https://orcid.org/0000-0002-0047-2716"]},"institutions":[{"id":"https://openalex.org/I56934997","display_name":"Changsha University of Science and Technology","ror":"https://ror.org/03yph8055","country_code":"CN","type":"education","lineage":["https://openalex.org/I56934997"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Wu","raw_affiliation_strings":["College of Mathematics and Statistics, Changsha University of Science Technology, Changsha, 410076, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Changsha University of Science Technology, Changsha, 410076, PR China","institution_ids":["https://openalex.org/I56934997"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101706512","display_name":"Yicheng Liu","orcid":"https://orcid.org/0000-0003-0318-7870","observed_orcids":["https://orcid.org/0000-0003-0318-7870","https://orcid.org/0000-0001-5529-6193","https://orcid.org/0009-0009-7289-3112"]},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yicheng Liu","raw_affiliation_strings":["Department of Mathematics, National University of Defense Technology, Changsha, 410073, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National University of Defense Technology, Changsha, 410073, PR China","institution_ids":["https://openalex.org/I170215575"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101706512"],"corresponding_institution_ids":["https://openalex.org/I170215575"],"apc_list":{"value":1450,"currency":"USD","value_usd":1450},"apc_paid":null,"fwci":0.1173,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.49751469,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"179","issue":null,"first_page":"238","last_page":"252"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9711999893188477,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9711999893188477,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.006000000052154064,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.0052999998442828655,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/flocking","display_name":"flocking","score":0.9610000252723694},{"id":"https://openalex.org/keywords/cucker-smale-model","display_name":"Cucker-Smale model","score":0.8690000176429749},{"id":"https://openalex.org/keywords/communication-delay","display_name":"communication delay","score":0.8859999775886536},{"id":"https://openalex.org/keywords/local-rules","display_name":"local rules","score":0.5899999737739563},{"id":"https://openalex.org/keywords/self-organization","display_name":"self-organization","score":0.6399999856948853},{"id":"https://openalex.org/keywords/functional-differential-equations","display_name":"functional differential equations","score":0.7310000061988831},{"id":"https://openalex.org/keywords/exponential-convergence","display_name":"exponential convergence","score":0.652999997138977},{"id":"https://openalex.org/keywords/collective-motion","display_name":"collective motion","score":0.3400000035762787}],"concepts":[{"id":"https://openalex.org/C2781220375","wikidata":"https://www.wikidata.org/wiki/Q814208","display_name":"Flocking (texture)","level":2,"score":0.9034804105758667},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5731462836265564},{"id":"https://openalex.org/C2777059694","wikidata":"https://www.wikidata.org/wiki/Q2706744","display_name":"Invariant subspace","level":3,"score":0.5259421467781067},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.4842095375061035},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41759639978408813},{"id":"https://openalex.org/C161677786","wikidata":"https://www.wikidata.org/wiki/Q2478475","display_name":"Neighbourhood (mathematics)","level":2,"score":0.41136255860328674},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4100360870361328},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34644973278045654},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3234896659851074},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28561145067214966},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2629215121269226},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1415753960609436},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.1396508812904358},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.matcom.2020.08.015","doi":"https://doi.org/10.1016/j.matcom.2020.08.015","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.matcom.2020.08.015","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Computers in Simulation","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:eee:matcom:v:179:y:2021:i:c:p:238-252","doi":null,"is_oa":true,"landing_page_url":"http://www.sciencedirect.com/science/article/pii/S0378475420302822","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:RePEc:eee:matcom:v:179:y:2021:i:c:p:238-252","doi":null,"is_oa":true,"landing_page_url":"http://www.sciencedirect.com/science/article/pii/S0378475420302822","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"score":0.800000011920929,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"study_designs":[],"awards":[{"id":"https://openalex.org/G1540123449","display_name":null,"funder_award_id":"11428101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1859277005","display_name":"\u65f6\u6ede\u590d\u6742\u7cfb\u7edf\u7684\u96c6\u7fa4\u7279\u5f81\u53ca\u5176\u5728\u6570\u636e\u6316\u6398\u4e2d\u7684\u5e94\u7528\u7814\u7a76","funder_award_id":"11671011","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1607633954","https://openalex.org/W1980387043","https://openalex.org/W1994139361","https://openalex.org/W2021878655","https://openalex.org/W2024099318","https://openalex.org/W2053216611","https://openalex.org/W2070015342","https://openalex.org/W2081137664","https://openalex.org/W2103714988","https://openalex.org/W2150661873","https://openalex.org/W2153305175","https://openalex.org/W2156450311","https://openalex.org/W2165744313","https://openalex.org/W2254624766","https://openalex.org/W2513842459","https://openalex.org/W2517803274","https://openalex.org/W2547886250","https://openalex.org/W2576016493","https://openalex.org/W2740270236","https://openalex.org/W2791371829","https://openalex.org/W2809207659","https://openalex.org/W2888386061","https://openalex.org/W2944327535","https://openalex.org/W2962939999","https://openalex.org/W3025253208","https://openalex.org/W3037683188"],"related_works":["https://openalex.org/W3196562632","https://openalex.org/W2530977643","https://openalex.org/W4318822799","https://openalex.org/W1989157904","https://openalex.org/W3099149755","https://openalex.org/W1481047111","https://openalex.org/W2357545018","https://openalex.org/W2033806705","https://openalex.org/W2886925251","https://openalex.org/W2185638620"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-10-10T00:00:00"}