{"id":"https://openalex.org/W1967203720","doi":"https://doi.org/10.1109/tnnls.2014.2352217","title":"Graph Theory-Based Approach for Stability Analysis of Stochastic Coupled Systems With L\u00e9vy Noise on Networks","display_name":"Graph Theory-Based Approach for Stability Analysis of Stochastic Coupled Systems With L\u00e9vy Noise on Networks","publication_year":2014,"publication_date":"2014-09-09","ids":{"openalex":"https://openalex.org/W1967203720","doi":"https://doi.org/10.1109/tnnls.2014.2352217","mag":"1967203720","pmid":"https://pubmed.ncbi.nlm.nih.gov/25216486"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2014.2352217","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2014.2352217","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5100729815","display_name":"Chunmei Zhang","orcid":"https://orcid.org/0000-0002-4124-2386"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN","US"],"is_corresponding":true,"raw_author_name":"Chunmei Zhang","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, Harbin, China","Department of Mathematics, University of Illinois at Urbana-Champaign, Champaign, IL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Department of Mathematics, University of Illinois at Urbana-Champaign, Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100665286","display_name":"Wenxue Li","orcid":"https://orcid.org/0000-0003-1387-4826"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenxue Li","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, Weihai, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Weihai, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040414354","display_name":"Ke Wang","orcid":"https://orcid.org/0000-0002-8306-1663"},"institutions":[{"id":"https://openalex.org/I184983240","display_name":"Northeast Normal University","ror":"https://ror.org/02rkvz144","country_code":"CN","type":"education","lineage":["https://openalex.org/I184983240"]},{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ke Wang","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, Harbin, China","School of Mathematics and Statistics, Northeast Normal University, Jilin, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Northeast Normal University, Jilin, China","institution_ids":["https://openalex.org/I184983240"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100729815"],"corresponding_institution_ids":["https://openalex.org/I157725225","https://openalex.org/I204983213"],"apc_list":null,"apc_paid":null,"fwci":8.2839,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":{"value":0.97688797,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"26","issue":"8","first_page":"1698","last_page":"1709"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9994000196456909,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9994000196456909,"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":0.9955999851226807,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6012689471244812},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45437735319137573},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.44994819164276123},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.44670119881629944},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.44187361001968384},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.379225492477417},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37022408843040466},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2761564552783966},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18813234567642212},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15613842010498047},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1514383852481842},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.0901242196559906}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6012689471244812},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45437735319137573},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.44994819164276123},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.44670119881629944},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.44187361001968384},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.379225492477417},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37022408843040466},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2761564552783966},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18813234567642212},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15613842010498047},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1514383852481842},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0901242196559906},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2014.2352217","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2014.2352217","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:25216486","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/25216486","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks and learning systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1386845265","display_name":null,"funder_award_id":"11301207","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G291184313","display_name":null,"funder_award_id":"11171056","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3751228703","display_name":null,"funder_award_id":"BK20130411","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G4967543876","display_name":null,"funder_award_id":"2013M541352","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G5446319848","display_name":null,"funder_award_id":"ZR2013AQ003","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G6280889063","display_name":null,"funder_award_id":"11301112","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6655623352","display_name":null,"funder_award_id":"2014T70313","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G6846098789","display_name":null,"funder_award_id":"HIT.IBRSEM.A.2014014","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G8544921297","display_name":null,"funder_award_id":"11171081","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"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320321940","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08"},{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null},{"id":"https://openalex.org/F4320332222","display_name":"University of Illinois at Urbana-Champaign","ror":"https://ror.org/047426m28"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W365369051","https://openalex.org/W1479863711","https://openalex.org/W1579485993","https://openalex.org/W1591798773","https://openalex.org/W1968495442","https://openalex.org/W1974811277","https://openalex.org/W1978599517","https://openalex.org/W1981499991","https://openalex.org/W1988109666","https://openalex.org/W1989285972","https://openalex.org/W1992237712","https://openalex.org/W1992640600","https://openalex.org/W2003259546","https://openalex.org/W2011343927","https://openalex.org/W2016878873","https://openalex.org/W2020699781","https://openalex.org/W2020881484","https://openalex.org/W2025015590","https://openalex.org/W2033051055","https://openalex.org/W2035060017","https://openalex.org/W2035256038","https://openalex.org/W2039143042","https://openalex.org/W2042758485","https://openalex.org/W2045021315","https://openalex.org/W2048263454","https://openalex.org/W2048834550","https://openalex.org/W2052860704","https://openalex.org/W2053640305","https://openalex.org/W2061317694","https://openalex.org/W2062682267","https://openalex.org/W2067265341","https://openalex.org/W2069136552","https://openalex.org/W2069872950","https://openalex.org/W2077277735","https://openalex.org/W2093941324","https://openalex.org/W2094247852","https://openalex.org/W2124508608","https://openalex.org/W2126221500","https://openalex.org/W2133553301","https://openalex.org/W2135992446","https://openalex.org/W2165947763","https://openalex.org/W2168653854","https://openalex.org/W2170316986","https://openalex.org/W2900812847","https://openalex.org/W2963483626","https://openalex.org/W3022439851","https://openalex.org/W3147301949","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3036437122","https://openalex.org/W2073208587","https://openalex.org/W4311655097","https://openalex.org/W2362553105","https://openalex.org/W2340741275","https://openalex.org/W3159886541","https://openalex.org/W2158128037","https://openalex.org/W2890759410","https://openalex.org/W2749718331","https://openalex.org/W2009526249"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,88,101],"novel":[4],"class":[5],"of":[6,48,62,69,113],"stochastic":[7,81,91],"coupled":[8,82],"systems":[9],"with":[10,84,95],"L\u00e9vy":[11,22,73,85,96],"noise":[12,20,23,71,86,97],"on":[13,87],"networks":[14],"(SCSLNNs)":[15],"is":[16,107],"presented.":[17],"Both":[18],"white":[19,70],"and":[21,33,44,65,72,90],"are":[24,51,56,98],"considered":[25],"in":[26,46],"the":[27,60,63,66,78,111],"networks.":[28],"By":[29],"exploiting":[30],"graph":[31],"theory":[32],"Lyapunov":[34],"stability":[35,43,45],"theory,":[36],"criteria":[37],"ensuring":[38],"p":[39],"th":[40],"moment":[41],"exponential":[42],"probability":[47],"these":[49],"SCSLNNs":[50],"established,":[52],"respectively.":[53],"These":[54],"principles":[55],"closely":[57],"related":[58],"to":[59,76,109],"topology":[61],"network":[64,89,106],"perturbation":[67],"intensity":[68],"noise.":[74],"Moreover,":[75],"verify":[77],"theoretical":[79],"results,":[80],"oscillators":[83],"Volterra":[92],"predator-prey":[93],"system":[94],"performed.":[99],"Finally,":[100],"numerical":[102],"example":[103],"about":[104],"oscillators'":[105],"provided":[108],"illustrate":[110],"feasibility":[112],"our":[114],"analytical":[115],"results.":[116]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-02T08:37:19.008085","created_date":"2025-10-10T00:00:00"}
