{"id":"https://openalex.org/W3149136238","doi":"https://doi.org/10.1109/access.2021.3069885","title":"Coexisting Multiple Attractors in a Fourth Order Chua\u2019s Circuit With Experimental Verifications by Analog and Digital Circuits","display_name":"Coexisting Multiple Attractors in a Fourth Order Chua\u2019s Circuit With Experimental Verifications by Analog and Digital Circuits","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3149136238","doi":"https://doi.org/10.1109/access.2021.3069885","mag":"3149136238"},"language":"en","primary_location":{"id":"doi:10.1109/access.2021.3069885","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3069885","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09391706.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09391706.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101649847","display_name":"Lei Zhu","orcid":"https://orcid.org/0000-0002-2742-0350"},"institutions":[{"id":"https://openalex.org/I4210144214","display_name":"Jiangsu University of Technology","ror":"https://ror.org/04jabhf80","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210144214"]},{"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":false,"raw_author_name":"Lei Zhu","raw_affiliation_strings":["College of Electrical and Information Engineering, Jiangsu University of Technology, Changzhou, China","College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-2742-0350","affiliations":[{"raw_affiliation_string":"College of Electrical and Information Engineering, Jiangsu University of Technology, Changzhou, China","institution_ids":["https://openalex.org/I4210144214"]},{"raw_affiliation_string":"College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070560079","display_name":"Minghai Pan","orcid":"https://orcid.org/0000-0001-8288-0395"},"institutions":[{"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":false,"raw_author_name":"Minghai Pan","raw_affiliation_strings":["College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0001-8288-0395","affiliations":[{"raw_affiliation_string":"College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China","institution_ids":["https://openalex.org/I9842412"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.3845,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.57747038,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"9","issue":null,"first_page":"96671","last_page":"96681"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9991000294685364,"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":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.8678895831108093},{"id":"https://openalex.org/keywords/multistability","display_name":"Multistability","score":0.7720142602920532},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.5826060771942139},{"id":"https://openalex.org/keywords/chuas-circuit","display_name":"Chua's circuit","score":0.5765228867530823},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5668795108795166},{"id":"https://openalex.org/keywords/scroll","display_name":"Scroll","score":0.5253131985664368},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.5220370292663574},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.4215444028377533},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41538164019584656},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4017169177532196},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4013330638408661},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3792659044265747},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3741312623023987},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.30577224493026733},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25842049717903137},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22560366988182068},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.15484043955802917},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09344050288200378},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07873865962028503}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.8678895831108093},{"id":"https://openalex.org/C2776966350","wikidata":"https://www.wikidata.org/wiki/Q6935096","display_name":"Multistability","level":3,"score":0.7720142602920532},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.5826060771942139},{"id":"https://openalex.org/C2781300247","wikidata":"https://www.wikidata.org/wiki/Q258022","display_name":"Chua's circuit","level":3,"score":0.5765228867530823},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5668795108795166},{"id":"https://openalex.org/C2781324535","wikidata":"https://www.wikidata.org/wiki/Q720106","display_name":"Scroll","level":2,"score":0.5253131985664368},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.5220370292663574},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.4215444028377533},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41538164019584656},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4017169177532196},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4013330638408661},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3792659044265747},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3741312623023987},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.30577224493026733},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25842049717903137},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22560366988182068},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.15484043955802917},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09344050288200378},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07873865962028503},{"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2021.3069885","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3069885","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09391706.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:735950a9b37e43ce90b1c99b223bf4bd","is_oa":true,"landing_page_url":"https://doaj.org/article/735950a9b37e43ce90b1c99b223bf4bd","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":"IEEE Access, Vol 9, Pp 96671-96681 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2021.3069885","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3069885","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09391706.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1457779768","display_name":"\u5929\u57fa\u591a\u57fa\u5730MIMO\u96f7\u8fbe\u52a8\u76ee\u6807\u68c0\u6d4b\u65b9\u6cd5\u7814\u7a76","funder_award_id":"61271327","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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3149136238.pdf","grobid_xml":"https://content.openalex.org/works/W3149136238.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W1058360396","https://openalex.org/W1965360955","https://openalex.org/W1969411123","https://openalex.org/W1977985132","https://openalex.org/W1978407782","https://openalex.org/W1982132919","https://openalex.org/W2007089043","https://openalex.org/W2040069863","https://openalex.org/W2048444514","https://openalex.org/W2105406131","https://openalex.org/W2108504478","https://openalex.org/W2120236997","https://openalex.org/W2126543555","https://openalex.org/W2152254020","https://openalex.org/W2215594976","https://openalex.org/W2233345179","https://openalex.org/W2273635036","https://openalex.org/W2341495304","https://openalex.org/W2518897358","https://openalex.org/W2548920324","https://openalex.org/W2549893486","https://openalex.org/W2587849620","https://openalex.org/W2746989737","https://openalex.org/W2793841750","https://openalex.org/W2797416178","https://openalex.org/W2889049919","https://openalex.org/W2899031456","https://openalex.org/W2914314933","https://openalex.org/W2916323064","https://openalex.org/W2939214041","https://openalex.org/W2952052242","https://openalex.org/W2958236329","https://openalex.org/W2977373493","https://openalex.org/W2978489332","https://openalex.org/W2979553490","https://openalex.org/W2990284936","https://openalex.org/W3011376068","https://openalex.org/W3018767337","https://openalex.org/W3025074292","https://openalex.org/W3037032721","https://openalex.org/W3040297650","https://openalex.org/W3048823364","https://openalex.org/W3080285104","https://openalex.org/W6770568387"],"related_works":["https://openalex.org/W2152575619","https://openalex.org/W2377537438","https://openalex.org/W1995550449","https://openalex.org/W2133096299","https://openalex.org/W2360157842","https://openalex.org/W2357564414","https://openalex.org/W1969411123","https://openalex.org/W2883844359","https://openalex.org/W2066910975","https://openalex.org/W2072147513"],"abstract_inverted_index":{"Exploring":[0],"coexistence":[1],"of":[2,92,99,104,111,151],"multiple":[3,80],"attractors":[4,81,110],"brought":[5],"by":[6,37,89,119,127],"the":[7,18,39,83,100,107,114,120,128,137,144,149],"multistability":[8],"for":[9,24,57],"circuits":[10,132],"and":[11,21,72,82,113,130,153],"systems":[12],"has":[13],"a":[14,29,48,90],"significant":[15],"meaning":[16],"in":[17,47],"theoretical":[19],"researches":[20],"practical":[22],"applications":[23],"chaos.":[25],"In":[26],"this":[27,62],"article,":[28],"succinct":[30],"fourth":[31,50],"order":[32,51],"Chua's":[33],"circuit":[34,63,140],"is":[35,117],"proposed":[36],"replacing":[38],"negative":[40],"resistance":[41,46],"with":[42,69,148],"an":[43],"ordinary":[44],"positive":[45],"traditional":[49],"one.":[52],"The":[53,95,123],"two-dimensional":[54],"stability":[55],"analysis":[56],"equilibrium":[58],"points":[59],"shows":[60],"that":[61],"possesses":[64],"one":[65,116],"unstable":[66],"saddle-focus":[67],"point":[68],"index":[70],"1":[71],"two":[73],"stable":[74],"node-focus":[75],"points.":[76],"Coexisting":[77],"bifurcation":[78,121],"models,":[79],"corresponding":[84],"attraction":[85],"basins":[86],"are":[87,133],"revealed":[88],"series":[91],"numerical":[93],"simulations.":[94],"clear":[96],"crisis":[97],"scenario":[98],"coexisting":[101,108],"limit":[102],"cycles":[103],"period-3":[105],"bridging":[106],"single-scroll":[109],"chaos":[112],"double-scroll":[115],"observed":[118],"analyses.":[122],"dual-mode":[124],"experimental":[125],"verifications":[126],"analog":[129],"digital":[131],"carried":[134],"out":[135],"on":[136],"self-made":[138],"printed":[139],"boards,":[141],"which":[142],"validate":[143],"simulated":[145],"dynamical":[146],"behaviors":[147],"combination":[150],"physics":[152],"engineering.":[154]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-07-14T08:27:34.040176","created_date":"2021-04-13T00:00:00"}
