{"id":"https://openalex.org/W2284315151","doi":"https://doi.org/10.3390/e18020058","title":"A Memristor-Based Hyperchaotic Complex L\u00fc System and Its Adaptive Complex Generalized Synchronization","display_name":"A Memristor-Based Hyperchaotic Complex L\u00fc System and Its Adaptive Complex Generalized Synchronization","publication_year":2016,"publication_date":"2016-02-22","ids":{"openalex":"https://openalex.org/W2284315151","doi":"https://doi.org/10.3390/e18020058","mag":"2284315151"},"language":"en","primary_location":{"id":"doi:10.3390/e18020058","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e18020058","pdf_url":"https://www.mdpi.com/1099-4300/18/2/58/pdf?version=1456157044","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/18/2/58/pdf?version=1456157044","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006734382","display_name":"Shibing Wang","orcid":"https://orcid.org/0000-0002-7453-0886"},"institutions":[{"id":"https://openalex.org/I13175533","display_name":"Fuyang Normal University","ror":"https://ror.org/02njz9p87","country_code":"CN","type":"education","lineage":["https://openalex.org/I13175533"]},{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]},{"id":"https://openalex.org/I4210092944","display_name":"Dalian University","ror":"https://ror.org/00g2ypp58","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210092944"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shibing Wang","raw_affiliation_strings":["Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China","School of Computer and Information Engineering, Fuyang Normal University, Fuyang 236041, China"],"raw_orcid":"https://orcid.org/0000-0002-7453-0886","affiliations":[{"raw_affiliation_string":"Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China","institution_ids":["https://openalex.org/I27357992","https://openalex.org/I4210092944"]},{"raw_affiliation_string":"School of Computer and Information Engineering, Fuyang Normal University, Fuyang 236041, China","institution_ids":["https://openalex.org/I13175533"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100680478","display_name":"Xingyuan Wang","orcid":"https://orcid.org/0000-0002-9724-0152"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]},{"id":"https://openalex.org/I4210092944","display_name":"Dalian University","ror":"https://ror.org/00g2ypp58","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210092944"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xingyuan Wang","raw_affiliation_strings":["Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China","institution_ids":["https://openalex.org/I27357992","https://openalex.org/I4210092944"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023582321","display_name":"Yufei Zhou","orcid":"https://orcid.org/0000-0003-3728-6615"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yufei Zhou","raw_affiliation_strings":["College of Electrical Engineering and Automation, Anhui University, Hefei 230601, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electrical Engineering and Automation, Anhui University, Hefei 230601, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101578136","display_name":"Bo Han","orcid":"https://orcid.org/0000-0003-2930-123X"},"institutions":[{"id":"https://openalex.org/I13175533","display_name":"Fuyang Normal University","ror":"https://ror.org/02njz9p87","country_code":"CN","type":"education","lineage":["https://openalex.org/I13175533"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Han","raw_affiliation_strings":["School of Computer and Information Engineering, Fuyang Normal University, Fuyang 236041, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer and Information Engineering, Fuyang Normal University, Fuyang 236041, China","institution_ids":["https://openalex.org/I13175533"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100680478"],"corresponding_institution_ids":["https://openalex.org/I27357992","https://openalex.org/I4210092944"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":4.0111,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.94072035,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"18","issue":"2","first_page":"58","last_page":"58"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","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"}},"topics":[{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9968000054359436,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9933000206947327,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/memristor","display_name":"Memristor","score":0.8439708948135376},{"id":"https://openalex.org/keywords/phase-portrait","display_name":"Phase portrait","score":0.7163408994674683},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.6842526197433472},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.6135027408599854},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5811505913734436},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5761390924453735},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5166299939155579},{"id":"https://openalex.org/keywords/complex-dynamics","display_name":"Complex dynamics","score":0.493866503238678},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.4755116105079651},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.4735530912876129},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4120934009552002},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.34779518842697144},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.347321093082428},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.2980109453201294},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1682480275630951},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12904921174049377},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10802489519119263},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10369044542312622},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07951804995536804},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.0671314001083374}],"concepts":[{"id":"https://openalex.org/C150072547","wikidata":"https://www.wikidata.org/wiki/Q212923","display_name":"Memristor","level":2,"score":0.8439708948135376},{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.7163408994674683},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6842526197433472},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.6135027408599854},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5811505913734436},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5761390924453735},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5166299939155579},{"id":"https://openalex.org/C126701199","wikidata":"https://www.wikidata.org/wiki/Q264224","display_name":"Complex dynamics","level":2,"score":0.493866503238678},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.4755116105079651},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.4735530912876129},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4120934009552002},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.34779518842697144},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.347321093082428},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.2980109453201294},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1682480275630951},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12904921174049377},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10802489519119263},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10369044542312622},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07951804995536804},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0671314001083374},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/e18020058","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e18020058","pdf_url":"https://www.mdpi.com/1099-4300/18/2/58/pdf?version=1456157044","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:928935be9dd245cfb74a018d08ab4894","is_oa":true,"landing_page_url":"https://doaj.org/article/928935be9dd245cfb74a018d08ab4894","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":"Entropy, Vol 18, Iss 2, p 58 (2016)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/18/2/58/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e18020058","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy; Volume 18; Issue 2; Pages: 58","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e18020058","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e18020058","pdf_url":"https://www.mdpi.com/1099-4300/18/2/58/pdf?version=1456157044","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2284315151.pdf"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W1585034393","https://openalex.org/W1964480025","https://openalex.org/W1989216335","https://openalex.org/W1989598003","https://openalex.org/W1998186234","https://openalex.org/W1998314998","https://openalex.org/W2004246785","https://openalex.org/W2004721619","https://openalex.org/W2010564090","https://openalex.org/W2016397694","https://openalex.org/W2018528020","https://openalex.org/W2018844164","https://openalex.org/W2020763843","https://openalex.org/W2024953382","https://openalex.org/W2031668778","https://openalex.org/W2033932982","https://openalex.org/W2036870441","https://openalex.org/W2037201082","https://openalex.org/W2043944460","https://openalex.org/W2048961008","https://openalex.org/W2050561628","https://openalex.org/W2054402839","https://openalex.org/W2054822508","https://openalex.org/W2054975916","https://openalex.org/W2057584657","https://openalex.org/W2066213929","https://openalex.org/W2069436097","https://openalex.org/W2069627687","https://openalex.org/W2071673800","https://openalex.org/W2081688682","https://openalex.org/W2084190584","https://openalex.org/W2084925445","https://openalex.org/W2094276030","https://openalex.org/W2095076457","https://openalex.org/W2095386938","https://openalex.org/W2102868125","https://openalex.org/W2111437412","https://openalex.org/W2112181056","https://openalex.org/W2141394518","https://openalex.org/W2146851929","https://openalex.org/W2147787212","https://openalex.org/W2151370440","https://openalex.org/W2152254020","https://openalex.org/W2161288409","https://openalex.org/W2162651880","https://openalex.org/W2226597827","https://openalex.org/W3102348920","https://openalex.org/W3104788907","https://openalex.org/W4247151931"],"related_works":["https://openalex.org/W1083439616","https://openalex.org/W2023046846","https://openalex.org/W1628429654","https://openalex.org/W2043497625","https://openalex.org/W1981749143","https://openalex.org/W3143099028","https://openalex.org/W2036931904","https://openalex.org/W2791213815","https://openalex.org/W2894162551","https://openalex.org/W2056452229"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"a":[3,27,74],"new":[4],"memristor-based":[5,28],"hyperchaotic":[6,29],"complex":[7,15,21,81],"L\u00fc":[8,31],"system":[9,22],"(MHCLS)":[10],"and":[11,33,65,73,84,106,118],"investigates":[12],"its":[13,34,40,107],"adaptive":[14,71],"generalized":[16,82],"synchronization":[17,83],"(ACGS).":[18],"Firstly,":[19],"the":[20,100,116,121],"is":[23],"constructed":[24],"based":[25,94],"on":[26,95],"real":[30],"system,":[32],"properties":[35],"are":[36,53,77,112],"analyzed":[37],"theoretically.":[38],"Secondly,":[39],"dynamical":[41],"behaviors,":[42,52],"including":[43],"hyperchaos,":[44],"chaos,":[45],"transient":[46],"phenomena,":[47],"as":[48,50],"well":[49],"periodic":[51],"explored":[54],"numerically":[55],"by":[56],"means":[57],"of":[58,87,104,120],"bifurcation":[59],"diagrams,":[60],"Lyapunov":[61,96],"exponents,":[62],"phase":[63],"portraits,":[64],"time":[66],"history":[67],"diagrams.":[68],"Thirdly,":[69],"an":[70],"controller":[72],"parameter":[75,85],"estimator":[76],"proposed":[78,122],"to":[79,109,114],"realize":[80],"identification":[86],"two":[88],"identical":[89],"MHCLSs":[90],"with":[91],"unknown":[92],"parameters":[93],"stability":[97],"theory.":[98],"Finally,":[99],"numerical":[101],"simulation":[102],"results":[103],"ACGS":[105],"applications":[108],"secure":[110],"communication":[111],"presented":[113],"verify":[115],"feasibility":[117],"effectiveness":[119],"method.":[123]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}