{"id":"https://openalex.org/W3014312020","doi":"https://doi.org/10.1142/s0218127420500406","title":"Death Behavior of Mean-Field Coupled van der Pol Oscillators Induced by Time-Delayed Feedback","display_name":"Death Behavior of Mean-Field Coupled van der Pol Oscillators Induced by Time-Delayed Feedback","publication_year":2020,"publication_date":"2020-03-15","ids":{"openalex":"https://openalex.org/W3014312020","doi":"https://doi.org/10.1142/s0218127420500406","mag":"3014312020"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127420500406","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127420500406","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/A5022062231","display_name":"Qin Guo","orcid":"https://orcid.org/0009-0000-2606-326X"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qin Guo","raw_affiliation_strings":["Department of Applied Mathematics, Northwestern Polytechnical University, Xi\u2019an 710072, P. R. China","Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Northwestern Polytechnical University, Xi\u2019an 710072, P. R. China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, P. R. China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089089111","display_name":"Xige Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xige Yang","raw_affiliation_strings":["Department of Mathematics, Ohio State University, Columbus, OH 43210, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ohio State University, Columbus, OH 43210, USA","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087623474","display_name":"Jiankang Liu","orcid":"https://orcid.org/0000-0003-3200-9969"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]},{"id":"https://openalex.org/I46305995","display_name":"Taiyuan University of Science and Technology","ror":"https://ror.org/01wcbdc92","country_code":"CN","type":"education","lineage":["https://openalex.org/I46305995"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiankang Liu","raw_affiliation_strings":["Department of Applied Mathematics, Northwestern Polytechnical University, Xi\u2019an 710072, P. R. China","School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, P. R. China","Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Northwestern Polytechnical University, Xi\u2019an 710072, P. R. China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, P. R. China","institution_ids":["https://openalex.org/I46305995"]},{"raw_affiliation_string":"Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, P. R. China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102009272","display_name":"Wei Xu","orcid":"https://orcid.org/0000-0002-7822-0340"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Xu","raw_affiliation_strings":["Department of Applied Mathematics, Northwestern Polytechnical University, Xi\u2019an 710072, P. R. China","Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-7822-0340","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Northwestern Polytechnical University, Xi\u2019an 710072, P. R. China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, P. R. China","institution_ids":["https://openalex.org/I17145004"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4637,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.65430399,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"30","issue":"03","first_page":"2050040","last_page":"2050040"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":1.0,"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":1.0,"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":0.9955000281333923,"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/T11449","display_name":"Mechanical and Optical Resonators","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/control-theory","display_name":"Control theory (sociology)","score":0.652852475643158},{"id":"https://openalex.org/keywords/van-der-pol-oscillator","display_name":"Van der Pol oscillator","score":0.6315090656280518},{"id":"https://openalex.org/keywords/explosive-material","display_name":"Explosive material","score":0.6216456890106201},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.587242841720581},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5652291178703308},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.5551924109458923},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.47423335909843445},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.45824286341667175},{"id":"https://openalex.org/keywords/transition-point","display_name":"Transition point","score":0.4579836428165436},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4492368996143341},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4458051919937134},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.44260475039482117},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.42139044404029846},{"id":"https://openalex.org/keywords/transition","display_name":"Transition (genetics)","score":0.41055870056152344},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4100120961666107},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.27793267369270325},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17940837144851685},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.13334700465202332},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07899287343025208},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07067504525184631},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06159323453903198}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.652852475643158},{"id":"https://openalex.org/C98010927","wikidata":"https://www.wikidata.org/wiki/Q2081515","display_name":"Van der Pol oscillator","level":3,"score":0.6315090656280518},{"id":"https://openalex.org/C154238967","wikidata":"https://www.wikidata.org/wiki/Q12870","display_name":"Explosive material","level":2,"score":0.6216456890106201},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.587242841720581},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5652291178703308},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5551924109458923},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.47423335909843445},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.45824286341667175},{"id":"https://openalex.org/C168907044","wikidata":"https://www.wikidata.org/wiki/Q7834431","display_name":"Transition point","level":2,"score":0.4579836428165436},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4492368996143341},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4458051919937134},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.44260475039482117},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.42139044404029846},{"id":"https://openalex.org/C194232998","wikidata":"https://www.wikidata.org/wiki/Q1606712","display_name":"Transition (genetics)","level":3,"score":0.41055870056152344},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4100120961666107},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.27793267369270325},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17940837144851685},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13334700465202332},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07899287343025208},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07067504525184631},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06159323453903198},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127420500406","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127420500406","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":[{"score":0.4099999964237213,"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being"}],"awards":[{"id":"https://openalex.org/G4105188142","display_name":"\u975e\u5149\u6ed1\u968f\u673a\u7cfb\u7edf\u52a8\u529b\u5b66\u7814\u7a76","funder_award_id":"11532011","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7177334098","display_name":null,"funder_award_id":"11872305","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":31,"referenced_works":["https://openalex.org/W567580883","https://openalex.org/W635353686","https://openalex.org/W1582828056","https://openalex.org/W1969649257","https://openalex.org/W1977624796","https://openalex.org/W1979176387","https://openalex.org/W1985940938","https://openalex.org/W1994660698","https://openalex.org/W1998878937","https://openalex.org/W2002475404","https://openalex.org/W2009090037","https://openalex.org/W2009375605","https://openalex.org/W2033770904","https://openalex.org/W2034074453","https://openalex.org/W2061191702","https://openalex.org/W2065544049","https://openalex.org/W2066649401","https://openalex.org/W2081752958","https://openalex.org/W2087737357","https://openalex.org/W2089876099","https://openalex.org/W2101714536","https://openalex.org/W2105763846","https://openalex.org/W2129207384","https://openalex.org/W2158533181","https://openalex.org/W2162950685","https://openalex.org/W2488246962","https://openalex.org/W2575434776","https://openalex.org/W2743661453","https://openalex.org/W2792330517","https://openalex.org/W2792511204","https://openalex.org/W4246337296"],"related_works":["https://openalex.org/W2321701423","https://openalex.org/W2287334727","https://openalex.org/W2325589451","https://openalex.org/W2541598132","https://openalex.org/W1488588773","https://openalex.org/W2048510477","https://openalex.org/W2367068036","https://openalex.org/W2551989526","https://openalex.org/W2320254342","https://openalex.org/W2762476777"],"abstract_inverted_index":{"Explosive":[0],"death":[1,34,54,88,121],"in":[2,14,17,56,96,107,118],"coupled":[3,62],"nonlinear":[4,15],"oscillators":[5,106],"has":[6,135],"been":[7,136],"an":[8,57,79],"active":[9],"area":[10],"of":[11,25,49,59,93,104],"extensive":[12],"research":[13],"dynamics":[16],"the":[18,42,47,53,75,83,87,91,97,101,108,120,125,143],"recent":[19],"decades.":[20],"Depending":[21],"on":[22,52],"proper":[23],"choice":[24],"network":[26,109],"topology,":[27],"coupling":[28,98],"scenarios,":[29],"and":[30,86,127],"feedback":[31,51],"strength,":[32],"explosive":[33],"can":[35],"be":[36],"revealed.":[37],"In":[38,67],"this":[39],"work,":[40],"for":[41],"first":[43],"time,":[44],"we":[45],"report":[46],"effect":[48],"delayed":[50],"behavior":[55],"ensemble":[58],"identical":[60],"mean-field":[61],"van":[63],"der":[64],"Pol":[65],"oscillators.":[66],"both":[68],"systems":[69],"with":[70,115],"or":[71],"without":[72],"time":[73,94],"delay,":[74],"normalized":[76,102],"amplitude":[77,103],"exhibits":[78],"abrupt":[80],"transition":[81,129,133],"between":[82],"oscillatory":[84],"state":[85],"state.":[89],"Intriguingly,":[90],"presence":[92],"delay":[95],"may":[99],"induce":[100],"all":[105],"to":[110],"experience":[111],"a":[112],"step-like":[113],"descent":[114],"small":[116],"jumps":[117],"approaching":[119],"state,":[122],"pulling":[123],"back":[124],"forward":[126],"backward":[128,132],"points.":[130],"The":[131],"point":[134],"explicitly":[137],"obtained,":[138],"which":[139],"is":[140],"confirmed":[141],"by":[142],"numerical":[144],"results.":[145]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
