{"id":"https://openalex.org/W3043584703","doi":"https://doi.org/10.1142/s0218127420300190","title":"Extreme Multistability and Complex Dynamics of a Memristor-Based Chaotic System","display_name":"Extreme Multistability and Complex Dynamics of a Memristor-Based Chaotic System","publication_year":2020,"publication_date":"2020-06-30","ids":{"openalex":"https://openalex.org/W3043584703","doi":"https://doi.org/10.1142/s0218127420300190","mag":"3043584703"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127420300190","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127420300190","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/A5101617707","display_name":"Hui Chang","orcid":"https://orcid.org/0000-0002-3852-8711"},"institutions":[{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hui Chang","raw_affiliation_strings":["College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, P. R. China","institution_ids":["https://openalex.org/I80143920"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100736200","display_name":"Yuxia Li","orcid":"https://orcid.org/0000-0003-1068-6387"},"institutions":[{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuxia Li","raw_affiliation_strings":["College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, P. R. China"],"raw_orcid":"https://orcid.org/0000-0003-1068-6387","affiliations":[{"raw_affiliation_string":"College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, P. R. China","institution_ids":["https://openalex.org/I80143920"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024633466","display_name":"Guanrong Chen","orcid":"https://orcid.org/0000-0003-1381-7418"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Guanrong Chen","raw_affiliation_strings":["Department of Electrical Engineering, City University of Hong Kong, Hong Kong SAR, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, City University of Hong Kong, Hong Kong SAR, P. R. China","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"last","author":{"id":null,"display_name":"Fang Yuan","orcid":null},"institutions":[{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fang Yuan","raw_affiliation_strings":["College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, P. R. China","institution_ids":["https://openalex.org/I80143920"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.9857,"has_fulltext":false,"cited_by_count":93,"citation_normalized_percentile":{"value":0.94827778,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"30","issue":"08","first_page":"2030019","last_page":"2030019"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"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/T10581","display_name":"Neural dynamics and brain function","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multistability","display_name":"Multistability","score":0.9731154441833496},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.7822373509407043},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.7594032287597656},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6371196508407593},{"id":"https://openalex.org/keywords/phase-portrait","display_name":"Phase portrait","score":0.6267057657241821},{"id":"https://openalex.org/keywords/memristor","display_name":"Memristor","score":0.5205363035202026},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5112404823303223},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.47452250123023987},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.4589375853538513},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.43580561876296997},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.4270242750644684},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.41037318110466003},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4093831181526184},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.36919915676116943},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.3625481426715851},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3204777240753174},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.29530712962150574},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2717810273170471},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.26654425263404846},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.2107163369655609}],"concepts":[{"id":"https://openalex.org/C2776966350","wikidata":"https://www.wikidata.org/wiki/Q6935096","display_name":"Multistability","level":3,"score":0.9731154441833496},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.7822373509407043},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.7594032287597656},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6371196508407593},{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.6267057657241821},{"id":"https://openalex.org/C150072547","wikidata":"https://www.wikidata.org/wiki/Q212923","display_name":"Memristor","level":2,"score":0.5205363035202026},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5112404823303223},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.47452250123023987},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.4589375853538513},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.43580561876296997},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.4270242750644684},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.41037318110466003},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4093831181526184},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.36919915676116943},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3625481426715851},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3204777240753174},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.29530712962150574},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2717810273170471},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.26654425263404846},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.2107163369655609},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127420300190","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127420300190","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/G3879258066","display_name":null,"funder_award_id":"61801271","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4450327046","display_name":null,"funder_award_id":"91848206","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8277657145","display_name":null,"funder_award_id":"61973200","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":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W1968290244","https://openalex.org/W1989216335","https://openalex.org/W1997394516","https://openalex.org/W1998491633","https://openalex.org/W2018844164","https://openalex.org/W2038175889","https://openalex.org/W2054975916","https://openalex.org/W2068459887","https://openalex.org/W2069436097","https://openalex.org/W2073284214","https://openalex.org/W2077887431","https://openalex.org/W2078907149","https://openalex.org/W2112181056","https://openalex.org/W2141394518","https://openalex.org/W2148606078","https://openalex.org/W2162651880","https://openalex.org/W2165180443","https://openalex.org/W2198475680","https://openalex.org/W2293085836","https://openalex.org/W2347185331","https://openalex.org/W2472607991","https://openalex.org/W2516138848","https://openalex.org/W2521063593","https://openalex.org/W2545405476","https://openalex.org/W2564046431","https://openalex.org/W2564219748","https://openalex.org/W2573602455","https://openalex.org/W2600274367","https://openalex.org/W2728229501","https://openalex.org/W2743455512","https://openalex.org/W2747701901","https://openalex.org/W2782258878","https://openalex.org/W2782398897","https://openalex.org/W2790183883","https://openalex.org/W2792673996","https://openalex.org/W2792742124","https://openalex.org/W2797990717","https://openalex.org/W2800293292","https://openalex.org/W2811102385","https://openalex.org/W2886774479","https://openalex.org/W2889010380","https://openalex.org/W2900178210","https://openalex.org/W2912477301","https://openalex.org/W2919921325","https://openalex.org/W2935934548","https://openalex.org/W2955786865","https://openalex.org/W4247151931"],"related_works":["https://openalex.org/W3171819901","https://openalex.org/W2607286602","https://openalex.org/W2978842908","https://openalex.org/W3092143559","https://openalex.org/W4296042297","https://openalex.org/W2974193234","https://openalex.org/W2883844359","https://openalex.org/W2072147513","https://openalex.org/W3138933321","https://openalex.org/W4220757487"],"abstract_inverted_index":{"A":[0],"memristor":[1,55],"with":[2,16,37,145,167],"coexisting":[3,74],"pinched":[4],"hysteresis":[5],"loops":[6],"and":[7,14,21,80,91,99,115,142,153],"twin":[8],"local":[9],"activity":[10],"domains":[11],"is":[12,35,105,113,119,132],"presented":[13],"analyzed,":[15],"an":[17],"emulator":[18],"being":[19],"designed":[20],"applied":[22],"to":[23,28],"the":[24,30,54,60,67,107,111,122,128,149,154,168],"classic":[25],"Chua\u2019s":[26],"circuit":[27],"replace":[29],"diode.":[31],"The":[32,63],"memristive":[33],"system":[34,61,68,112,155],"modeled":[36],"four":[38],"coupled":[39],"first-order":[40],"autonomous":[41],"differential":[42],"equations,":[43],"which":[44,164],"has":[45],"three":[46,50],"equilibria":[47,52],"determined":[48,133],"by":[49,59,71,134,159],"static":[51],"of":[53,66,110,124],"but":[56],"not":[57],"controlled":[58],"parameters.":[62],"complex":[64],"dynamics":[65],"are":[69,157,165],"analyzed":[70],"using":[72,135],"compound":[73],"bifurcation":[75,136],"diagrams,":[76],"Lyapunov":[77,143],"exponent":[78],"spectra":[79],"phase":[81],"portraits,":[82],"including":[83],"point":[84],"attractors,":[85],"limit":[86],"cycles,":[87],"symmetrical":[88,150],"chaotic":[89,146,151],"attractors":[90],"their":[92],"blasting,":[93],"extreme":[94,108],"multistability,":[95],"state-switching":[96],"without":[97],"parameter,":[98],"transient":[100,125],"chaos.":[101],"Of":[102],"particular":[103],"surprise":[104],"that":[106,121],"multistability":[109],"hidden":[114],"symmetrically":[116],"distributed.":[117],"It":[118],"found":[120],"existence":[123],"chaos":[126],"in":[127],"specified":[129],"parameter":[130],"domain":[131],"diagrams":[137],"within":[138],"different":[139],"time":[140],"durations":[141],"exponents":[144],"sequences.":[147],"Finally,":[148],"attractor":[152],"blasting":[156],"verified":[158],"digital":[160],"signal":[161],"processing":[162],"experiments,":[163],"consistent":[166],"numerical":[169],"analysis.":[170]},"counts_by_year":[{"year":2026,"cited_by_count":8},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":26},{"year":2023,"cited_by_count":15},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":19}],"updated_date":"2026-07-21T08:15:58.654021","created_date":"2025-10-10T00:00:00"}