{"id":"https://openalex.org/W2153497095","doi":"https://doi.org/10.1109/icnc.2009.664","title":"Stochastic Evolution Model of Neuronal Oscillator Population under the Condition of the Higher Order Coupling","display_name":"Stochastic Evolution Model of Neuronal Oscillator Population under the Condition of the Higher Order Coupling","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2153497095","doi":"https://doi.org/10.1109/icnc.2009.664","mag":"2153497095"},"language":"en","primary_location":{"id":"doi:10.1109/icnc.2009.664","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icnc.2009.664","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 Fifth International Conference on Natural Computation","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100356748","display_name":"Xiaodan Zhang","orcid":"https://orcid.org/0000-0001-9606-1745"},"institutions":[{"id":"https://openalex.org/I143593769","display_name":"East China University of Science and Technology","ror":"https://ror.org/01vyrm377","country_code":"CN","type":"education","lineage":["https://openalex.org/I143593769"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhang Xiaodan","raw_affiliation_strings":["Institute of Cognitive Neurodynamics, East China University of Science and Technology, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Cognitive Neurodynamics, East China University of Science and Technology, Shanghai, China","institution_ids":["https://openalex.org/I143593769"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Wang Rubin","orcid":null},"institutions":[{"id":"https://openalex.org/I143593769","display_name":"East China University of Science and Technology","ror":"https://ror.org/01vyrm377","country_code":"CN","type":"education","lineage":["https://openalex.org/I143593769"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wang Rubin","raw_affiliation_strings":["Institute of Cognitive Neurodynamics, East China University of Science and Technology, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Cognitive Neurodynamics, East China University of Science and Technology, Shanghai, China","institution_ids":["https://openalex.org/I143593769"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025539122","display_name":"Zhikang Zhang","orcid":"https://orcid.org/0000-0002-3024-1644"},"institutions":[{"id":"https://openalex.org/I143593769","display_name":"East China University of Science and Technology","ror":"https://ror.org/01vyrm377","country_code":"CN","type":"education","lineage":["https://openalex.org/I143593769"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhang Zhikang","raw_affiliation_strings":["Institute of Cognitive Neurodynamics, East China University of Science and Technology, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Cognitive Neurodynamics, East China University of Science and Technology, Shanghai, China","institution_ids":["https://openalex.org/I143593769"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108239354","display_name":"Jiao Xian-fa","orcid":null},"institutions":[{"id":"https://openalex.org/I143593769","display_name":"East China University of Science and Technology","ror":"https://ror.org/01vyrm377","country_code":"CN","type":"education","lineage":["https://openalex.org/I143593769"]},{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiao Xianfa","raw_affiliation_strings":["Department of Mathematics, Hefei University of Technology, Hefei, China","Institute of Cognitive Neurodynamics, East China University of Science and Technology, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hefei University of Technology, Hefei, China","institution_ids":["https://openalex.org/I16365422"]},{"raw_affiliation_string":"Institute of Cognitive Neurodynamics, East China University of Science and Technology, Shanghai, China","institution_ids":["https://openalex.org/I143593769"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5406,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.62189351,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":null,"issue":null,"first_page":"439","last_page":"443"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9991999864578247,"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":0.9991999864578247,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9987000226974487,"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"}},{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.5888683199882507},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4935184717178345},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4775034785270691},{"id":"https://openalex.org/keywords/population-model","display_name":"Population model","score":0.45172375440597534},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4255644381046295},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41668352484703064},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3409569263458252},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32198822498321533},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22784528136253357},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12314650416374207},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.11098164319992065},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.10233688354492188}],"concepts":[{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.5888683199882507},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4935184717178345},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4775034785270691},{"id":"https://openalex.org/C52079815","wikidata":"https://www.wikidata.org/wiki/Q7229808","display_name":"Population model","level":3,"score":0.45172375440597534},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4255644381046295},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41668352484703064},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3409569263458252},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32198822498321533},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22784528136253357},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12314650416374207},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.11098164319992065},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.10233688354492188},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icnc.2009.664","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icnc.2009.664","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 Fifth International Conference on Natural Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W111157985","https://openalex.org/W161994494","https://openalex.org/W1550753352","https://openalex.org/W1994158690","https://openalex.org/W2057213277","https://openalex.org/W2065674249","https://openalex.org/W2074065507","https://openalex.org/W2079948225","https://openalex.org/W2084793648","https://openalex.org/W2085319761","https://openalex.org/W2085603172","https://openalex.org/W2088678566","https://openalex.org/W2118272977","https://openalex.org/W2166203548","https://openalex.org/W2478893498","https://openalex.org/W4243011794"],"related_works":["https://openalex.org/W3214346900","https://openalex.org/W2356099978","https://openalex.org/W2372871711","https://openalex.org/W3202709773","https://openalex.org/W2101003714","https://openalex.org/W2999342388","https://openalex.org/W2219839513","https://openalex.org/W2912657844","https://openalex.org/W2902898997","https://openalex.org/W2040944759"],"abstract_inverted_index":{"The":[0,45],"activities":[1],"of":[2,10,25,30,47,55,63,88,100,108,112,120],"coupled":[3],"neuronal":[4,32,102],"oscillator":[5,33,103],"population":[6,34],"in":[7,18],"the":[8,22,26,31,38,48,53,60,68,72,77,86,94,101,106,110,117,121,124],"presence":[9],"both":[11],"external":[12],"stimulation":[13],"and":[14,21,76,123],"noise":[15],"were":[16],"studied":[17,36],"this":[19],"paper,":[20],"dynamical":[23],"evolution":[24],"average":[27,64],"number":[28,65],"density":[29,66],"was":[35],"when":[37],"coupling":[39,75,78,91,122],"among":[40],"oscillators":[41],"contains":[42,67],"higher":[43,56,73,89],"harmonics.":[44],"results":[46],"study":[49],"indicate":[50],"that":[51],"under":[52],"condition":[54,62,107],"order":[57,74,90],"coupling,":[58],"if":[59],"initial":[61],"same":[69],"harmonics":[70],"with":[71],"strength":[79],"is":[80,116],"greater":[81],"than":[82],"its":[83],"critical":[84],"value,":[85],"action":[87],"can":[92],"maintain":[93],"already":[95],"formed":[96],"multiple-cluster":[97],"synchronization":[98],"state":[99],"population.":[104],"Under":[105],"stimulation,":[109],"effect":[111],"phase":[113],"neural":[114],"coding":[115],"correlative":[118],"result":[119],"stimulation.":[125]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}