{"id":"https://openalex.org/W2066305289","doi":"https://doi.org/10.1007/s11424-010-8084-y","title":"Hopf bifurcation analysis in a 4D-hyperchaotic system","display_name":"Hopf bifurcation analysis in a 4D-hyperchaotic system","publication_year":2010,"publication_date":"2010-08-01","ids":{"openalex":"https://openalex.org/W2066305289","doi":"https://doi.org/10.1007/s11424-010-8084-y","mag":"2066305289"},"language":"en","primary_location":{"id":"doi:10.1007/s11424-010-8084-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11424-010-8084-y","pdf_url":null,"source":{"id":"https://openalex.org/S45848134","display_name":"Journal of Systems Science and Complexity","issn_l":"1009-6124","issn":["1009-6124","1559-7067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Systems Science and Complexity","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/A5011501685","display_name":"Kangming Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I141649914","display_name":"Nanchang University","ror":"https://ror.org/042v6xz23","country_code":"CN","type":"education","lineage":["https://openalex.org/I141649914"]},{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kangming Zhang","raw_affiliation_strings":["Department of Science and Arts, Nanchang Academy of Army, Nanchang, 330013, China","School of Mathematical Sciences, South China University of Technology, Guangzhou, 510640, China","Department of Science and Arts, Nanchang Academy of Army, Nanchang, China","School of Mathematical Sciences, South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"Department of Science and Arts, Nanchang Academy of Army, Nanchang, 330013, China","institution_ids":["https://openalex.org/I141649914"]},{"raw_affiliation_string":"School of Mathematical Sciences, South China University of Technology, Guangzhou, 510640, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"Department of Science and Arts, Nanchang Academy of Army, Nanchang, China","institution_ids":[]},{"raw_affiliation_string":"School of Mathematical Sciences, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080858709","display_name":"Qigui Yang","orcid":"https://orcid.org/0000-0002-3623-4947"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qigui Yang","raw_affiliation_strings":["School of Mathematical Sciences, South China University of Technology, Guangzhou, 510640, China","School of Mathematical Sciences, South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, South China University of Technology, Guangzhou, 510640, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"School of Mathematical Sciences, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080858709"],"corresponding_institution_ids":["https://openalex.org/I90610280"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.9447,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.76733082,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"23","issue":"4","first_page":"748","last_page":"758"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9988999962806702,"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":0.9988999962806702,"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":0.9775000214576721,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9768000245094299,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.8075280785560608},{"id":"https://openalex.org/keywords/pitchfork-bifurcation","display_name":"Pitchfork bifurcation","score":0.7060968279838562},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6547554731369019},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"Saddle-node bifurcation","score":0.5893637537956238},{"id":"https://openalex.org/keywords/bogdanov\u2013takens-bifurcation","display_name":"Bogdanov\u2013Takens bifurcation","score":0.5715311765670776},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.5707318186759949},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.5652521252632141},{"id":"https://openalex.org/keywords/period-doubling-bifurcation","display_name":"Period-doubling bifurcation","score":0.5365097522735596},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.536064088344574},{"id":"https://openalex.org/keywords/transcritical-bifurcation","display_name":"Transcritical bifurcation","score":0.4993140697479248},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4248952567577362},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41527116298675537},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4068297743797302},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3334595561027527},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18135210871696472},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.171382337808609},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15850618481636047}],"concepts":[{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.8075280785560608},{"id":"https://openalex.org/C155092403","wikidata":"https://www.wikidata.org/wiki/Q1785924","display_name":"Pitchfork bifurcation","level":5,"score":0.7060968279838562},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6547554731369019},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.5893637537956238},{"id":"https://openalex.org/C22257346","wikidata":"https://www.wikidata.org/wiki/Q4937510","display_name":"Bogdanov\u2013Takens bifurcation","level":5,"score":0.5715311765670776},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.5707318186759949},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.5652521252632141},{"id":"https://openalex.org/C194271172","wikidata":"https://www.wikidata.org/wiki/Q2181373","display_name":"Period-doubling bifurcation","level":4,"score":0.5365097522735596},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.536064088344574},{"id":"https://openalex.org/C55610538","wikidata":"https://www.wikidata.org/wiki/Q1502581","display_name":"Transcritical bifurcation","level":5,"score":0.4993140697479248},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4248952567577362},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41527116298675537},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4068297743797302},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3334595561027527},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18135210871696472},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.171382337808609},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15850618481636047},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11424-010-8084-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11424-010-8084-y","pdf_url":null,"source":{"id":"https://openalex.org/S45848134","display_name":"Journal of Systems Science and Complexity","issn_l":"1009-6124","issn":["1009-6124","1559-7067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Systems Science and Complexity","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1970548930","https://openalex.org/W1976519394","https://openalex.org/W1976737194","https://openalex.org/W1980417843","https://openalex.org/W1984861030","https://openalex.org/W1993676691","https://openalex.org/W2007324447","https://openalex.org/W2028923894","https://openalex.org/W2029796518","https://openalex.org/W2031668778","https://openalex.org/W2033460637","https://openalex.org/W2039641016","https://openalex.org/W2053648621","https://openalex.org/W2088294541","https://openalex.org/W2089876099","https://openalex.org/W2092382253","https://openalex.org/W2108504478","https://openalex.org/W2134981340","https://openalex.org/W2135827536","https://openalex.org/W2151223939"],"related_works":["https://openalex.org/W2356715721","https://openalex.org/W2546487931","https://openalex.org/W2978098199","https://openalex.org/W2054978396","https://openalex.org/W4293768108","https://openalex.org/W2388294899","https://openalex.org/W3015096850","https://openalex.org/W2273563257","https://openalex.org/W2403226060","https://openalex.org/W3123487452"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
