{"id":"https://openalex.org/W2782487726","doi":"https://doi.org/10.1142/s0218127417501991","title":"Modeling and Analysis of a Fractional-Order Generalized Memristor-Based Chaotic System and Circuit Implementation","display_name":"Modeling and Analysis of a Fractional-Order Generalized Memristor-Based Chaotic System and Circuit Implementation","publication_year":2017,"publication_date":"2017-12-15","ids":{"openalex":"https://openalex.org/W2782487726","doi":"https://doi.org/10.1142/s0218127417501991","mag":"2782487726"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127417501991","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127417501991","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/A5084592208","display_name":"Ningning Yang","orcid":"https://orcid.org/0000-0002-7219-484X"},"institutions":[{"id":"https://openalex.org/I4210131919","display_name":"Xi'an University of Technology","ror":"https://ror.org/038avdt50","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210131919"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ningning yang","raw_affiliation_strings":["Institute of Water Resources and Hydro-Electric Engineering, Xi\u2019an University of Technology, Xi\u2019an, P. R. China","State Key Laboratory Base of Eco-Hydraulic Engineering in Arid Area, Xi\u2019an University of Technology, Xi\u2019an, P. R. China"],"affiliations":[{"raw_affiliation_string":"Institute of Water Resources and Hydro-Electric Engineering, Xi\u2019an University of Technology, Xi\u2019an, P. R. China","institution_ids":["https://openalex.org/I4210131919"]},{"raw_affiliation_string":"State Key Laboratory Base of Eco-Hydraulic Engineering in Arid Area, Xi\u2019an University of Technology, Xi\u2019an, P. R. China","institution_ids":["https://openalex.org/I4210131919"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101780723","display_name":"Cheng Xu","orcid":"https://orcid.org/0000-0003-4782-8350"},"institutions":[{"id":"https://openalex.org/I4210131919","display_name":"Xi'an University of Technology","ror":"https://ror.org/038avdt50","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210131919"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cheng Xu","raw_affiliation_strings":["Institute of Water Resources and Hydro-Electric Engineering, Xi\u2019an University of Technology, Xi\u2019an, P. R. China"],"affiliations":[{"raw_affiliation_string":"Institute of Water Resources and Hydro-Electric Engineering, Xi\u2019an University of Technology, Xi\u2019an, P. R. China","institution_ids":["https://openalex.org/I4210131919"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062220280","display_name":"Chaojun Wu","orcid":"https://orcid.org/0000-0002-3644-4354"},"institutions":[{"id":"https://openalex.org/I27599042","display_name":"Xi'an Polytechnic University","ror":"https://ror.org/03442p831","country_code":"CN","type":"education","lineage":["https://openalex.org/I27599042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chaojun wu","raw_affiliation_strings":["College of Electronics and Information, Xi\u2019an Polytechnic University, Xi\u2019an, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Electronics and Information, Xi\u2019an Polytechnic University, Xi\u2019an, P. R. China","institution_ids":["https://openalex.org/I27599042"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004682067","display_name":"Rong Jia","orcid":"https://orcid.org/0000-0003-3497-6506"},"institutions":[{"id":"https://openalex.org/I4210131919","display_name":"Xi'an University of Technology","ror":"https://ror.org/038avdt50","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210131919"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rong Jia","raw_affiliation_strings":["Institute of Water Resources and Hydro-Electric Engineering, Xi\u2019an University of Technology, Xi\u2019an, P. R. China","State Key Laboratory Base of Eco-Hydraulic Engineering in Arid Area, Xi\u2019an University of Technology, Xi\u2019an, P. R. China"],"affiliations":[{"raw_affiliation_string":"Institute of Water Resources and Hydro-Electric Engineering, Xi\u2019an University of Technology, Xi\u2019an, P. R. China","institution_ids":["https://openalex.org/I4210131919"]},{"raw_affiliation_string":"State Key Laboratory Base of Eco-Hydraulic Engineering in Arid Area, Xi\u2019an University of Technology, Xi\u2019an, P. R. China","institution_ids":["https://openalex.org/I4210131919"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101548756","display_name":"Chongxin Liu","orcid":"https://orcid.org/0000-0001-8427-0937"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chongxin Liu","raw_affiliation_strings":["School of Electrical Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, P. R. China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5084592208"],"corresponding_institution_ids":["https://openalex.org/I4210131919"],"apc_list":null,"apc_paid":null,"fwci":2.6223,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.90748649,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"27","issue":"13","first_page":"1750199","last_page":"1750199"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9994999766349792,"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":0.9994999766349792,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.998199999332428,"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":0.9977999925613403,"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/memristor","display_name":"Memristor","score":0.9234939813613892},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.7295237183570862},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6180305480957031},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5329694747924805},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5217519998550415},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5163325071334839},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4847426116466522},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.48243507742881775},{"id":"https://openalex.org/keywords/period-doubling-bifurcation","display_name":"Period-doubling bifurcation","score":0.4501953125},{"id":"https://openalex.org/keywords/chuas-circuit","display_name":"Chua's circuit","score":0.44798827171325684},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.38422510027885437},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3347066640853882},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.149253249168396},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14754343032836914},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.11146363615989685},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06313556432723999}],"concepts":[{"id":"https://openalex.org/C150072547","wikidata":"https://www.wikidata.org/wiki/Q212923","display_name":"Memristor","level":2,"score":0.9234939813613892},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.7295237183570862},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6180305480957031},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5329694747924805},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5217519998550415},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5163325071334839},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4847426116466522},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.48243507742881775},{"id":"https://openalex.org/C194271172","wikidata":"https://www.wikidata.org/wiki/Q2181373","display_name":"Period-doubling bifurcation","level":4,"score":0.4501953125},{"id":"https://openalex.org/C2781300247","wikidata":"https://www.wikidata.org/wiki/Q258022","display_name":"Chua's circuit","level":3,"score":0.44798827171325684},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.38422510027885437},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3347066640853882},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.149253249168396},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14754343032836914},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.11146363615989685},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06313556432723999},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127417501991","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127417501991","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":[{"display_name":"Peace, Justice and strong institutions","score":0.7799999713897705,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G5057944531","display_name":null,"funder_award_id":"51507134","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":33,"referenced_works":["https://openalex.org/W913072106","https://openalex.org/W1588071978","https://openalex.org/W1717965682","https://openalex.org/W1899958445","https://openalex.org/W1920215100","https://openalex.org/W1987913906","https://openalex.org/W1989057028","https://openalex.org/W1994750489","https://openalex.org/W1998019010","https://openalex.org/W2000145490","https://openalex.org/W2005421374","https://openalex.org/W2017382806","https://openalex.org/W2023644895","https://openalex.org/W2032288790","https://openalex.org/W2038175889","https://openalex.org/W2106343578","https://openalex.org/W2112181056","https://openalex.org/W2129857517","https://openalex.org/W2150039047","https://openalex.org/W2161411167","https://openalex.org/W2162651880","https://openalex.org/W2163105747","https://openalex.org/W2226597827","https://openalex.org/W2240201687","https://openalex.org/W2259227674","https://openalex.org/W2298914121","https://openalex.org/W2484728942","https://openalex.org/W2544124178","https://openalex.org/W2557350475","https://openalex.org/W2896075089","https://openalex.org/W3037735024","https://openalex.org/W4247151931","https://openalex.org/W4253062931"],"related_works":["https://openalex.org/W1995550449","https://openalex.org/W2801748458","https://openalex.org/W2120296062","https://openalex.org/W327886041","https://openalex.org/W2765787715","https://openalex.org/W2023644895","https://openalex.org/W2612801513","https://openalex.org/W2065885758","https://openalex.org/W4312668142","https://openalex.org/W2020717343"],"abstract_inverted_index":{"Memristor":[0],"is":[1,76,92,116,186,206],"a":[2,53,60,64,73,111],"nonlinear":[3],"\u201cmissing":[4],"circuit":[5,66,71,91,115],"element\u201d,":[6],"that":[7,24],"can":[8,39],"easily":[9],"achieve":[10],"chaotic":[11,14,114,142,152,166],"oscillation.":[12],"Memristor-based":[13],"systems":[15,26,185],"have":[16],"received":[17],"more":[18,20,28],"and":[19,43,63,72,79,162,177,219],"attention.":[21],"Research":[22],"shows":[23],"fractional-order":[25,54,84,97,108,112,140,184],"are":[27,86,210],"close":[29],"to":[30,94,127,188,212],"real":[31],"systems.":[32],"As":[33],"an":[34,68],"important":[35],"parameter,":[36],"the":[37,41,48,83,96,102,107,129,132,135,139,146,148,151,155,159,169,190,197,200,204,214],"order":[38,133,192],"increase":[40],"flexibility":[42],"degree":[44],"of":[45,47,59,82,121,131,138,168,174,183,199,216],"freedom":[46],"system.":[49],"In":[50],"this":[51],"paper,":[52],"generalized":[55,109],"memristor,":[56,110],"which":[57],"consists":[58],"diode":[61,105],"bridge":[62],"parallel":[65],"with":[67,145],"equivalent":[69],"unit":[70,98],"linear":[74],"resistance,":[75],"proposed.":[77,117],"Frequency":[78],"electrical":[80],"characteristics":[81],"memristor":[85],"analyzed.":[87,207],"A":[88,118],"chain":[89],"structure":[90],"used":[93,187],"implement":[95],"circuit.":[99,143],"Then":[100],"replacing":[101],"conventional":[103],"Chua\u2019s":[104],"by":[106],"memristor-based":[113,141],"large":[119],"amount":[120],"research":[122],"work":[123],"has":[124,171],"been":[125],"done":[126],"investigate":[128],"influence":[130,198],"on":[134,203],"dynamical":[136],"behaviors":[137],"Varying":[144],"order,":[147],"system":[149,170,205],"enters":[150],"state":[153,157,167],"from":[154],"periodic":[156],"through":[158],"Hopf":[160,194],"bifurcation":[161],"period-doubling":[163],"bifurcation.":[164,195],"The":[165,180],"two":[172],"types":[173],"attractors:":[175],"single-scroll":[176],"double-scroll":[178],"attractor.":[179],"stability":[181],"theory":[182],"determine":[189],"minimum":[191],"occurring":[193],"And":[196],"initial":[201],"value":[202],"Circuit":[208],"simulations":[209],"designed":[211],"verify":[213],"results":[215],"theoretical":[217],"analysis":[218],"numerical":[220],"simulation.":[221]},"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}