{"id":"https://openalex.org/W4387787662","doi":"https://doi.org/10.3934/nhm.2023077","title":"Synchronization of the generalized Kuramoto model with time delay and frustration","display_name":"Synchronization of the generalized Kuramoto model with time delay and frustration","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4387787662","doi":"https://doi.org/10.3934/nhm.2023077"},"language":"en","primary_location":{"id":"doi:10.3934/nhm.2023077","is_oa":true,"landing_page_url":"https://doi.org/10.3934/nhm.2023077","pdf_url":null,"source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks and Heterogeneous Media","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.3934/nhm.2023077","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009958266","display_name":"Tingting Zhu","orcid":"https://orcid.org/0009-0000-3694-4896"},"institutions":[{"id":"https://openalex.org/I39774598","display_name":"Hefei University","ror":"https://ror.org/01f5rdf64","country_code":"CN","type":"education","lineage":["https://openalex.org/I39774598"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tingting Zhu","raw_affiliation_strings":["Key Laboratory of Applied Mathematics and Artificial Intelligence Mechanism, Hefei University, Hefei 230601, China","School of Artificial Intelligence and Big Data, Hefei University, Hefei 230601, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Applied Mathematics and Artificial Intelligence Mechanism, Hefei University, Hefei 230601, China","institution_ids":["https://openalex.org/I39774598"]},{"raw_affiliation_string":"School of Artificial Intelligence and Big Data, Hefei University, Hefei 230601, China","institution_ids":["https://openalex.org/I39774598"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5009958266"],"corresponding_institution_ids":["https://openalex.org/I39774598"],"apc_list":null,"apc_paid":null,"fwci":1.0031,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.77659919,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"18","issue":"4","first_page":"1772","last_page":"1798"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9998999834060669,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9998999834060669,"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9423999786376953,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T13377","display_name":"Ecosystem dynamics and resilience","score":0.9398999810218811,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/frustration","display_name":"Frustration","score":0.8551483154296875},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.6425139904022217},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.6180418133735657},{"id":"https://openalex.org/keywords/kuramoto-model","display_name":"Kuramoto model","score":0.590303897857666},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.5783051252365112},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.57394939661026},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.552193284034729},{"id":"https://openalex.org/keywords/coupling-strength","display_name":"Coupling strength","score":0.49922919273376465},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.483122318983078},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.4625368118286133},{"id":"https://openalex.org/keywords/exponential-decay","display_name":"Exponential decay","score":0.4379718601703644},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41458773612976074},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3829807937145233},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3663402199745178},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.340046763420105},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2674444317817688},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.22693032026290894},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20604032278060913},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09522226452827454},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.05581754446029663}],"concepts":[{"id":"https://openalex.org/C38710091","wikidata":"https://www.wikidata.org/wiki/Q192242","display_name":"Frustration","level":2,"score":0.8551483154296875},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.6425139904022217},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6180418133735657},{"id":"https://openalex.org/C2780042749","wikidata":"https://www.wikidata.org/wiki/Q604374","display_name":"Kuramoto model","level":4,"score":0.590303897857666},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5783051252365112},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.57394939661026},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.552193284034729},{"id":"https://openalex.org/C2986219828","wikidata":"https://www.wikidata.org/wiki/Q1193095","display_name":"Coupling strength","level":2,"score":0.49922919273376465},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.483122318983078},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.4625368118286133},{"id":"https://openalex.org/C180188523","wikidata":"https://www.wikidata.org/wiki/Q574576","display_name":"Exponential decay","level":2,"score":0.4379718601703644},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41458773612976074},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3829807937145233},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3663402199745178},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.340046763420105},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2674444317817688},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.22693032026290894},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20604032278060913},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09522226452827454},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.05581754446029663},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.0},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3934/nhm.2023077","is_oa":true,"landing_page_url":"https://doi.org/10.3934/nhm.2023077","pdf_url":null,"source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks and Heterogeneous Media","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:b2d956499d534326a80af8f9bf7e8e89","is_oa":true,"landing_page_url":"https://doaj.org/article/b2d956499d534326a80af8f9bf7e8e89","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Networks and Heterogeneous Media, Vol 18, Iss 4, Pp 1772-1798 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3934/nhm.2023077","is_oa":true,"landing_page_url":"https://doi.org/10.3934/nhm.2023077","pdf_url":null,"source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks and Heterogeneous Media","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1788292158","https://openalex.org/W1971282994","https://openalex.org/W1982438713","https://openalex.org/W1988799042","https://openalex.org/W1997645465","https://openalex.org/W2000738107","https://openalex.org/W2012565339","https://openalex.org/W2017819785","https://openalex.org/W2018314770","https://openalex.org/W2024571424","https://openalex.org/W2027756965","https://openalex.org/W2031401690","https://openalex.org/W2043787271","https://openalex.org/W2044680442","https://openalex.org/W2044701045","https://openalex.org/W2062233234","https://openalex.org/W2066821783","https://openalex.org/W2075032588","https://openalex.org/W2075524172","https://openalex.org/W2081389170","https://openalex.org/W2091567533","https://openalex.org/W2092826938","https://openalex.org/W2104115231","https://openalex.org/W2132434872","https://openalex.org/W2133049122","https://openalex.org/W2168448159","https://openalex.org/W2312565456","https://openalex.org/W2314552464","https://openalex.org/W2329269422","https://openalex.org/W2726342954","https://openalex.org/W2788510861","https://openalex.org/W2992008984","https://openalex.org/W3001735151","https://openalex.org/W3177511404","https://openalex.org/W4211202937","https://openalex.org/W4297721191","https://openalex.org/W4377043562"],"related_works":["https://openalex.org/W3165160669","https://openalex.org/W4287177413","https://openalex.org/W1983011554","https://openalex.org/W2020416548","https://openalex.org/W2470945791","https://openalex.org/W390249267","https://openalex.org/W1602624896","https://openalex.org/W1634993130","https://openalex.org/W2460600857","https://openalex.org/W3105267206"],"abstract_inverted_index":{"<abstract><p>We":[0],"studied":[1,68],"the":[2,6,17,22,49,57,88,95],"collective":[3],"behaviors":[4],"of":[5,36,77,91],"time-delayed":[7],"Kuramoto":[8,19],"model":[9,20],"with":[10,21],"frustration":[11,41],"under":[12,30],"general":[13],"network":[14],"topology.":[15],"For":[16],"generalized":[18],"graph":[23],"diameter":[24],"no":[25],"greater":[26],"than":[27],"two":[28],"and":[29,40,42],"a":[31,63,69,74,100],"sufficient":[32,84],"regime":[33],"in":[34,62,99],"terms":[35],"small":[37,75],"time":[38],"delay":[39],"large":[43],"coupling":[44],"strength,":[45],"we":[46],"showed":[47],"that":[48],"complete":[50,70],"frequency":[51,92],"synchronization":[52,93],"occurs":[53],"exponentially":[54],"fast":[55],"when":[56],"initial":[58,96],"configuration":[59],"is":[60,73],"distributed":[61],"half":[64,101],"circle.":[65],"We":[66],"also":[67],"network,":[71],"which":[72],"perturbation":[76],"all-to-all":[78],"coupling,":[79],"as":[80,82],"well":[81],"presented":[83],"frameworks":[85],"leading":[86],"to":[87],"exponential":[89],"emergence":[90],"for":[94],"data":[97],"confined":[98],"circle.</p></abstract>":[102]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}