{"id":"https://openalex.org/W2509110745","doi":"https://doi.org/10.1142/s021812741650156x","title":"Bifurcation, Synchronization, and Multistability of Two Interacting Networks with Multiple Time Delays","display_name":"Bifurcation, Synchronization, and Multistability of Two Interacting Networks with Multiple Time Delays","publication_year":2016,"publication_date":"2016-08-01","ids":{"openalex":"https://openalex.org/W2509110745","doi":"https://doi.org/10.1142/s021812741650156x","mag":"2509110745"},"language":"en","primary_location":{"id":"doi:10.1142/s021812741650156x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812741650156x","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},"type":"article","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/A5036823181","display_name":"Xiaochen Mao","orcid":"https://orcid.org/0000-0002-8972-1570"},"institutions":[{"id":"https://openalex.org/I163340411","display_name":"Hohai University","ror":"https://ror.org/01wd4xt90","country_code":"CN","type":"education","lineage":["https://openalex.org/I163340411"]},{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaochen Mao","raw_affiliation_strings":["Department of Engineering Mechanics, College of Mechanics and Materials, Hohai University, Nanjing 210098, P. R. China","State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Engineering Mechanics, College of Mechanics and Materials, Hohai University, Nanjing 210098, P. R. China","institution_ids":["https://openalex.org/I163340411"]},{"raw_affiliation_string":"State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China","institution_ids":["https://openalex.org/I9842412"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036823181"],"corresponding_institution_ids":["https://openalex.org/I163340411","https://openalex.org/I9842412"],"apc_list":null,"apc_paid":null,"fwci":1.6998,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.86391681,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"26","issue":"09","first_page":"1650156","last_page":"1650156"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9998999834060669,"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/T11347","display_name":"Neural Networks Stability and Synchronization","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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9994999766349792,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","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"}}],"keywords":[{"id":"https://openalex.org/keywords/multistability","display_name":"Multistability","score":0.9357010722160339},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.626409649848938},{"id":"https://openalex.org/keywords/pitchfork-bifurcation","display_name":"Pitchfork bifurcation","score":0.5985500812530518},{"id":"https://openalex.org/keywords/asynchronous-communication","display_name":"Asynchronous communication","score":0.5761957168579102},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.5740524530410767},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5334570407867432},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.48893848061561584},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4811438322067261},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.4692399799823761},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.43540865182876587},{"id":"https://openalex.org/keywords/oscillation","display_name":"Oscillation (cell signaling)","score":0.43262067437171936},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43179407715797424},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4165303111076355},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.3692147135734558},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.28546416759490967},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2426471710205078},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09147956967353821},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06565919518470764}],"concepts":[{"id":"https://openalex.org/C2776966350","wikidata":"https://www.wikidata.org/wiki/Q6935096","display_name":"Multistability","level":3,"score":0.9357010722160339},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.626409649848938},{"id":"https://openalex.org/C155092403","wikidata":"https://www.wikidata.org/wiki/Q1785924","display_name":"Pitchfork bifurcation","level":5,"score":0.5985500812530518},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.5761957168579102},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.5740524530410767},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5334570407867432},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.48893848061561584},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4811438322067261},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.4692399799823761},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.43540865182876587},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.43262067437171936},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43179407715797424},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4165303111076355},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.3692147135734558},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.28546416759490967},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2426471710205078},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09147956967353821},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06565919518470764},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s021812741650156x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812741650156x","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2623945697","display_name":"\u65f6\u6ede\u795e\u7ecf\u7f51\u7edc\u590d\u6742\u52a8\u529b\u5b66\u4e0e\u63a7\u5236\u7814\u7a76","funder_award_id":"11002047","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3427764688","display_name":"\u65f6\u6ede\u8bf1\u53d1\u7684\u975e\u7ebf\u6027\u8026\u5408\u7cfb\u7edf\u590d\u6742\u52a8\u529b\u5b66\u7684\u7406\u8bba\u548c\u5b9e\u9a8c\u7814\u7a76","funder_award_id":"11472097","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7447119848","display_name":null,"funder_award_id":"2015B18214","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W1487864787","https://openalex.org/W1965191393","https://openalex.org/W1973624808","https://openalex.org/W1976666676","https://openalex.org/W1988722812","https://openalex.org/W1988878611","https://openalex.org/W1990129004","https://openalex.org/W2009728489","https://openalex.org/W2010662261","https://openalex.org/W2010888422","https://openalex.org/W2013623261","https://openalex.org/W2015936883","https://openalex.org/W2019221582","https://openalex.org/W2021206986","https://openalex.org/W2022242081","https://openalex.org/W2022547892","https://openalex.org/W2022901150","https://openalex.org/W2028534569","https://openalex.org/W2031620597","https://openalex.org/W2031995764","https://openalex.org/W2035033442","https://openalex.org/W2035408847","https://openalex.org/W2038197536","https://openalex.org/W2039006574","https://openalex.org/W2040002552","https://openalex.org/W2042769661","https://openalex.org/W2046076589","https://openalex.org/W2049929575","https://openalex.org/W2065523014","https://openalex.org/W2071982521","https://openalex.org/W2073583146","https://openalex.org/W2078089188","https://openalex.org/W2084119948","https://openalex.org/W2088500498","https://openalex.org/W2089103120","https://openalex.org/W2092911680","https://openalex.org/W2100930991","https://openalex.org/W2108109772","https://openalex.org/W2112090702","https://openalex.org/W2115165344","https://openalex.org/W2148606196","https://openalex.org/W2157586156","https://openalex.org/W2164727176","https://openalex.org/W2182039781","https://openalex.org/W2283933126","https://openalex.org/W2286083815","https://openalex.org/W2322309108","https://openalex.org/W2419719194","https://openalex.org/W2963202808","https://openalex.org/W3100197939","https://openalex.org/W3103460901","https://openalex.org/W3106446774"],"related_works":["https://openalex.org/W3009700557","https://openalex.org/W2546487931","https://openalex.org/W4235949306","https://openalex.org/W2356715721","https://openalex.org/W56905705","https://openalex.org/W3042510364","https://openalex.org/W2024878967","https://openalex.org/W2060813275","https://openalex.org/W2387129305","https://openalex.org/W1968678806"],"abstract_inverted_index":{"This":[0],"paper":[1],"reveals":[2],"the":[3,20,30,41,45,49,56,72,94],"dynamical":[4],"properties":[5],"of":[6,48,55,58,88,101,106],"two":[7],"interacting":[8],"neural":[9],"networks":[10],"with":[11],"multiple":[12,91],"couplings.":[13],"Different":[14],"time":[15],"delays":[16],"are":[17,51,64,68,79],"introduced":[18],"into":[19],"nearest-neighbor":[21],"links":[22],"and":[23,29,37,40,61,75,97,104,109],"long-range":[24],"connections":[25],"in":[26],"each":[27],"layer":[28],"couplings":[31],"between":[32,93],"different":[33,98,102],"substructures.":[34],"The":[35,53],"delay-dependent":[36],"delay-independent":[38],"stability":[39],"oscillations":[42],"bifurcated":[43],"from":[44],"trivial":[46],"equilibrium":[47],"network":[50],"analyzed.":[52],"conditions":[54],"existence":[57],"nontrivial":[59,107],"equilibria":[60,108],"pitchfork":[62],"bifurcation":[63],"discussed.":[65],"Numerical":[66],"simulations":[67],"performed":[69],"to":[70],"validate":[71],"theoretical":[73],"results":[74],"interesting":[76],"neuronal":[77],"activities":[78],"observed,":[80],"such":[81],"as":[82],"completely":[83],"synchronous":[84],"oscillations,":[85,90,99,103],"three":[86],"types":[87],"asynchronous":[89],"switches":[92],"rest":[95],"states":[96],"coexistence":[100,105],"oscillations.":[110]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
