{"id":"https://openalex.org/W2974970506","doi":"https://doi.org/10.1155/2019/4678394","title":"Control Scheme for a Fractional\u2010Order Chaotic Genesio\u2010Tesi Model","display_name":"Control Scheme for a Fractional\u2010Order Chaotic Genesio\u2010Tesi Model","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2974970506","doi":"https://doi.org/10.1155/2019/4678394","mag":"2974970506"},"language":"en","primary_location":{"id":"doi:10.1155/2019/4678394","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/4678394","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/4678394.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2019/4678394.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003408413","display_name":"Changjin Xu","orcid":"https://orcid.org/0000-0001-5844-2985"},"institutions":[{"id":"https://openalex.org/I170172562","display_name":"Guizhou University of Finance and Economics","ror":"https://ror.org/02sw6yz40","country_code":"CN","type":"education","lineage":["https://openalex.org/I170172562"]},{"id":"https://openalex.org/I4210151178","display_name":"System Simulation (United Kingdom)","ror":"https://ror.org/04gf6zh40","country_code":"GB","type":"company","lineage":["https://openalex.org/I4210151178"]}],"countries":["CN","GB"],"is_corresponding":true,"raw_author_name":"Changjin Xu","raw_affiliation_strings":["Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, China","Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004"],"raw_orcid":"https://orcid.org/0000-0001-5844-2985","affiliations":[{"raw_affiliation_string":"Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, China","institution_ids":["https://openalex.org/I170172562"]},{"raw_affiliation_string":"Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004","institution_ids":["https://openalex.org/I170172562","https://openalex.org/I4210151178"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006759058","display_name":"Peiluan Li","orcid":"https://orcid.org/0000-0001-5545-6185"},"institutions":[{"id":"https://openalex.org/I167383011","display_name":"Henan University of Science and Technology","ror":"https://ror.org/05d80kz58","country_code":"CN","type":"education","lineage":["https://openalex.org/I167383011"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peiluan Li","raw_affiliation_strings":["School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China","School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023"],"raw_orcid":"https://orcid.org/0000-0001-5545-6185","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China","institution_ids":["https://openalex.org/I167383011"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023","institution_ids":["https://openalex.org/I167383011"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002021613","display_name":"Maoxin Liao","orcid":"https://orcid.org/0000-0001-8728-6977"},"institutions":[{"id":"https://openalex.org/I91935597","display_name":"University of South China","ror":"https://ror.org/03mqfn238","country_code":"CN","type":"education","lineage":["https://openalex.org/I91935597"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Maoxin Liao","raw_affiliation_strings":["School of Mathematics and Physics, University of South China, Hengyang 421001, China","School of Mathematics and Physics, University of South China, Hengyang 421001"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, University of South China, Hengyang 421001, China","institution_ids":["https://openalex.org/I91935597"]},{"raw_affiliation_string":"School of Mathematics and Physics, University of South China, Hengyang 421001","institution_ids":["https://openalex.org/I91935597"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101696210","display_name":"Zixin Liu","orcid":"https://orcid.org/0000-0003-1674-033X"},"institutions":[{"id":"https://openalex.org/I170172562","display_name":"Guizhou University of Finance and Economics","ror":"https://ror.org/02sw6yz40","country_code":"CN","type":"education","lineage":["https://openalex.org/I170172562"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zixin Liu","raw_affiliation_strings":["School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550004, China","School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550004"],"raw_orcid":"https://orcid.org/0000-0003-1674-033X","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550004, China","institution_ids":["https://openalex.org/I170172562"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550004","institution_ids":["https://openalex.org/I170172562"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019775984","display_name":"Qimei Xiao","orcid":"https://orcid.org/0000-0003-1764-0488"},"institutions":[{"id":"https://openalex.org/I56934997","display_name":"Changsha University of Science and Technology","ror":"https://ror.org/03yph8055","country_code":"CN","type":"education","lineage":["https://openalex.org/I56934997"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qimei Xiao","raw_affiliation_strings":["Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha 410114, China","Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha 410114"],"raw_orcid":"https://orcid.org/0000-0003-1764-0488","affiliations":[{"raw_affiliation_string":"Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha 410114, China","institution_ids":["https://openalex.org/I56934997"]},{"raw_affiliation_string":"Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha 410114","institution_ids":["https://openalex.org/I56934997"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088748113","display_name":"Shuai Yuan","orcid":"https://orcid.org/0000-0002-4133-4934"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuai Yuan","raw_affiliation_strings":["School of Mathematics and Statistics, Central South University, Changsha 410083, China","School of Mathematics and Statistics, Central South University, Changsha 410083"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Central South University, Changsha 410083, China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Central South University, Changsha 410083","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5003408413"],"corresponding_institution_ids":["https://openalex.org/I170172562","https://openalex.org/I4210151178"],"apc_list":{"value":2550,"currency":"USD","value_usd":2550},"apc_paid":{"value":2550,"currency":"USD","value_usd":2550},"fwci":0.6157,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.66045032,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2019","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9994000196456909,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9980999827384949,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.8136002421379089},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.7411500215530396},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.614036500453949},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5508779883384705},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.5413591265678406},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5093096494674683},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4772084355354309},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4267895519733429},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.35889750719070435},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3572641909122467},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29475629329681396},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14339491724967957},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.09357786178588867},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07518154382705688},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.057385653257369995}],"concepts":[{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.8136002421379089},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.7411500215530396},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.614036500453949},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5508779883384705},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.5413591265678406},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5093096494674683},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4772084355354309},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4267895519733429},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.35889750719070435},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3572641909122467},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29475629329681396},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14339491724967957},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.09357786178588867},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07518154382705688},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.057385653257369995},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2019/4678394","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/4678394","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/4678394.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:4678394","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2019/4678394.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:4507e4a818ba4c7e985843f48a024ff5","is_oa":true,"landing_page_url":"https://doaj.org/article/4507e4a818ba4c7e985843f48a024ff5","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2019 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2019/4678394","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/4678394","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/4678394.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2748707763","display_name":null,"funder_award_id":"KY[2018]047","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G287500887","display_name":null,"funder_award_id":"2018XZD01","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3536431734","display_name":null,"funder_award_id":"2018MMAEZD21","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4793888884","display_name":null,"funder_award_id":"KY[2018]047","funder_id":"https://openalex.org/F4320324883","funder_display_name":"Guizhou University of Finance and Economics"},{"id":"https://openalex.org/G4807388842","display_name":null,"funder_award_id":"No. 61673008","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5224165742","display_name":null,"funder_award_id":"2018MMAEZD21","funder_id":"https://openalex.org/F4320322924","funder_display_name":"Changsha University of Science\u00a0and\u00a0Technology"},{"id":"https://openalex.org/G6031693251","display_name":null,"funder_award_id":"[2017]5736-015","funder_id":"https://openalex.org/F4320324883","funder_display_name":"Guizhou University of Finance and Economics"},{"id":"https://openalex.org/G8430572354","display_name":null,"funder_award_id":"61673008","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G892944149","display_name":null,"funder_award_id":"2018XZD01","funder_id":"https://openalex.org/F4320324883","funder_display_name":"Guizhou University of Finance and Economics"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321927","display_name":"Guizhou University","ror":"https://ror.org/02wmsc916"},{"id":"https://openalex.org/F4320322924","display_name":"Changsha University of Science\u00a0and\u00a0Technology","ror":"https://ror.org/03yph8055"},{"id":"https://openalex.org/F4320324883","display_name":"Guizhou University of Finance and Economics","ror":"https://ror.org/02sw6yz40"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2974970506.pdf","grobid_xml":"https://content.openalex.org/works/W2974970506.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W976422126","https://openalex.org/W1971609228","https://openalex.org/W1977515791","https://openalex.org/W1992905802","https://openalex.org/W1994333769","https://openalex.org/W1998793098","https://openalex.org/W2002911588","https://openalex.org/W2006472812","https://openalex.org/W2018874482","https://openalex.org/W2018906205","https://openalex.org/W2020009098","https://openalex.org/W2023781462","https://openalex.org/W2037393312","https://openalex.org/W2048039028","https://openalex.org/W2075349747","https://openalex.org/W2090884013","https://openalex.org/W2094551465","https://openalex.org/W2097146225","https://openalex.org/W2137829549","https://openalex.org/W2177552553","https://openalex.org/W2419705032","https://openalex.org/W2475332201","https://openalex.org/W2489553629","https://openalex.org/W2546663644","https://openalex.org/W2586460567","https://openalex.org/W2735383720","https://openalex.org/W2769317983","https://openalex.org/W2781501082","https://openalex.org/W2782439591","https://openalex.org/W2787959293","https://openalex.org/W2790808302","https://openalex.org/W2791969301","https://openalex.org/W2794044373","https://openalex.org/W2800916614","https://openalex.org/W2897003694","https://openalex.org/W2900461186","https://openalex.org/W2906117403","https://openalex.org/W2909005568","https://openalex.org/W2914037619","https://openalex.org/W2924845864","https://openalex.org/W2942393480","https://openalex.org/W2943254653","https://openalex.org/W2946844993","https://openalex.org/W4251015067"],"related_works":["https://openalex.org/W2004708907","https://openalex.org/W2377429601","https://openalex.org/W2386043911","https://openalex.org/W3171270255","https://openalex.org/W2368252804","https://openalex.org/W2379367191","https://openalex.org/W3048874476","https://openalex.org/W2899562070","https://openalex.org/W1964862439","https://openalex.org/W4288367253"],"abstract_inverted_index":{"In":[0],"this":[1,166],"paper,":[2],"based":[3],"on":[4,131],"the":[5,20,35,42,46,54,58,63,72,75,81,100,104,118,128,132,135,141,154,157,174],"earlier":[6],"research,":[7],"a":[8,112,122],"new":[9,67],"fractional\u2010order":[10,21,83,143],"chaotic":[11,17,22,48,84,106,144,175,181],"Genesio\u2010Tesi":[12,23,49,85,107,145],"model":[13,24,86,108,146],"is":[14,25,109,147],"established.":[15],"The":[16,89,125,161],"phenomenon":[18],"of":[19,37,45,77,103,127,137,156,177],"controlled":[26,47,82,105,142],"by":[27,52],"designing":[28],"two":[29],"suitable":[30],"time\u2010delayed":[31],"feedback":[32],"controllers.":[33],"With":[34],"aid":[36],"Laplace":[38],"transform,":[39],"we":[40],"obtain":[41],"characteristic":[43,64],"equation":[44],"model.":[50],"Then":[51],"regarding":[53],"time":[55,94,119,129],"delay":[56,95,120,130],"as":[57],"bifurcation":[59,79,114,139],"parameter":[60],"and":[61,74,111,134],"analyzing":[62],"equation,":[65],"some":[66,98],"sufficient":[68],"criteria":[69],"to":[70],"guarantee":[71],"stability":[73,133],"existence":[76,136],"Hopf":[78,113,138],"for":[80,140],"are":[87],"derived.":[88],"research":[90],"shows":[91],"that":[92],"when":[93,117],"remains":[96],"in":[97,165,172],"interval,":[99],"equilibrium":[101],"point":[102],"stable":[110],"will":[115],"happen":[116],"crosses":[121],"critical":[123],"value.":[124],"effect":[126],"shown.":[148],"At":[149],"last,":[150],"computer":[151],"simulations":[152],"check":[153],"rationalization":[155],"obtained":[158],"theoretical":[159],"prediction.":[160],"derived":[162],"key":[163],"results":[164],"paper":[167],"play":[168],"an":[169],"important":[170],"role":[171],"controlling":[173],"behavior":[176],"many":[178],"other":[179],"differential":[180],"systems.":[182]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
