{"id":"https://openalex.org/W2022460714","doi":"https://doi.org/10.1109/iscas.2013.6572446","title":"Chaotic behaviour in a three element memristor based circuit using fourth order polynomial and PWL nonlinearity","display_name":"Chaotic behaviour in a three element memristor based circuit using fourth order polynomial and PWL nonlinearity","publication_year":2013,"publication_date":"2013-05-01","ids":{"openalex":"https://openalex.org/W2022460714","doi":"https://doi.org/10.1109/iscas.2013.6572446","mag":"2022460714"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2013.6572446","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2013.6572446","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Circuits and Systems (ISCAS2013)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5009063006","display_name":"Michael McCullough","orcid":"https://orcid.org/0000-0001-6572-565X"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"M. H. McCullough","raw_affiliation_strings":["School of Electrical, Electronic & Computer Engineering, University of Western Australia, Crawley, WA, Australia","[Sch. of Electr., Univ. of Western Australia, Crawley, WA, Australia]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical, Electronic & Computer Engineering, University of Western Australia, Crawley, WA, Australia","institution_ids":["https://openalex.org/I177877127"]},{"raw_affiliation_string":"[Sch. of Electr., Univ. of Western Australia, Crawley, WA, Australia]","institution_ids":["https://openalex.org/I177877127"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017703480","display_name":"Herbert Ho\u2010Ching Iu","orcid":"https://orcid.org/0000-0002-0687-4038"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"H. H. C. Iu","raw_affiliation_strings":["School of Electrical, Electronic & Computer Engineering, University of Western Australia, Crawley, WA, Australia","[Sch. of Electr., Univ. of Western Australia, Crawley, WA, Australia]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical, Electronic & Computer Engineering, University of Western Australia, Crawley, WA, Australia","institution_ids":["https://openalex.org/I177877127"]},{"raw_affiliation_string":"[Sch. of Electr., Univ. of Western Australia, Crawley, WA, Australia]","institution_ids":["https://openalex.org/I177877127"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050557651","display_name":"Bharathwaj Muthuswamy","orcid":null},"institutions":[{"id":"https://openalex.org/I50702494","display_name":"Milwaukee School of Engineering","ror":"https://ror.org/04h7cfr36","country_code":"US","type":"education","lineage":["https://openalex.org/I50702494"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"B. Muthuswamy","raw_affiliation_strings":["Department of Electrical Engineering & Computer Science, Milwaukee School of Engineering, Milwaukee, WI, USA","Dept. of Electr. Eng. & Comput. Sci., Milwaukee Sch. of Eng., Milwaukee, WI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering & Computer Science, Milwaukee School of Engineering, Milwaukee, WI, USA","institution_ids":["https://openalex.org/I50702494"]},{"raw_affiliation_string":"Dept. of Electr. Eng. & Comput. Sci., Milwaukee Sch. of Eng., Milwaukee, WI, USA","institution_ids":["https://openalex.org/I50702494"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8106,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.66423219,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"2743","last_page":"2746"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9976999759674072,"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/T10244","display_name":"Chaos control and synchronization","score":0.9973999857902527,"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":0.7871568202972412},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.776034951210022},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.7595071792602539},{"id":"https://openalex.org/keywords/phase-portrait","display_name":"Phase portrait","score":0.7574493885040283},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.7474278807640076},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5259787440299988},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5034171938896179},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.49619060754776},{"id":"https://openalex.org/keywords/chuas-circuit","display_name":"Chua's circuit","score":0.48729169368743896},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.4660640358924866},{"id":"https://openalex.org/keywords/multistability","display_name":"Multistability","score":0.4587114453315735},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.4539508521556854},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.45102331042289734},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.4449441730976105},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4417651891708374},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4247545003890991},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4096031188964844},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33739691972732544},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3028944730758667},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2429932951927185},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.160051167011261}],"concepts":[{"id":"https://openalex.org/C150072547","wikidata":"https://www.wikidata.org/wiki/Q212923","display_name":"Memristor","level":2,"score":0.7871568202972412},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.776034951210022},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.7595071792602539},{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.7574493885040283},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.7474278807640076},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5259787440299988},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5034171938896179},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.49619060754776},{"id":"https://openalex.org/C2781300247","wikidata":"https://www.wikidata.org/wiki/Q258022","display_name":"Chua's circuit","level":3,"score":0.48729169368743896},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.4660640358924866},{"id":"https://openalex.org/C2776966350","wikidata":"https://www.wikidata.org/wiki/Q6935096","display_name":"Multistability","level":3,"score":0.4587114453315735},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.4539508521556854},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.45102331042289734},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.4449441730976105},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4417651891708374},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4247545003890991},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4096031188964844},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33739691972732544},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3028944730758667},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2429932951927185},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.160051167011261},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/iscas.2013.6572446","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2013.6572446","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Circuits and Systems (ISCAS2013)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.atira.dk:publications/2251dcde-69bc-4bc1-98f0-770ba98b9f4b","is_oa":false,"landing_page_url":"https://research-repository.uwa.edu.au/en/publications/2251dcde-69bc-4bc1-98f0-770ba98b9f4b","pdf_url":null,"source":{"id":"https://openalex.org/S4306402523","display_name":"UWA Profiles and Research Repository (University of Western Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177877127","host_organization_name":"The University of Western Australia","host_organization_lineage":["https://openalex.org/I177877127"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mccullough , M , Iu , H & Muthuswamy , B 2013 , Chaotic behaviour in a three element memristor based circuit using fourth order polynomial and PWL nonlinearity . in 2013 IEEE International Symposium on Circuits and Systems (ISCAS) . IEEE, Institute of Electrical and Electronics Engineers , USA , pp. 2743-2746 , 2013 IEEE International Symposium on Circuits and Systems (ISCAS) , Beijing , China , 19/05/13 . https://doi.org/10.1109/ISCAS.2013.6572446","raw_type":"contributionToPeriodical"},{"id":"pmh:oai:espace.library.uq.edu.au:UQ:39a2494","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402388","display_name":"Queensland's institutional digital repository (The University of Queensland)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I165143802","host_organization_name":"The University of Queensland","host_organization_lineage":["https://openalex.org/I165143802"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1982132919","https://openalex.org/W1997394516","https://openalex.org/W2045009304","https://openalex.org/W2086008639","https://openalex.org/W2109547066","https://openalex.org/W2112181056","https://openalex.org/W2152254020","https://openalex.org/W2162651880"],"related_works":["https://openalex.org/W3171819901","https://openalex.org/W2978842908","https://openalex.org/W2607286602","https://openalex.org/W3092143559","https://openalex.org/W4296042297","https://openalex.org/W2883844359","https://openalex.org/W2072147513","https://openalex.org/W3114604581","https://openalex.org/W3138933321","https://openalex.org/W4220757487"],"abstract_inverted_index":{"This":[0],"work":[1],"presents":[2],"a":[3,13,20],"comparative":[4],"study":[5],"of":[6],"two":[7],"new":[8],"chaotic":[9,16,69],"systems":[10,33],"obtained":[11],"from":[12],"LCM":[14],"(inductor-capacitor-memristor)":[15],"circuit.":[17],"We":[18],"use":[19,40],"fourth":[21],"order":[22],"polynomial":[23],"and":[24,39,51,63,71],"piecewise":[25],"linear":[26],"nonlinearities":[27],"for":[28],"the":[29],"memristance":[30],"functions.":[31],"These":[32],"have":[34],"only":[35,41],"one":[36],"equilibrium":[37],"point":[38],"three":[42],"fundamental":[43],"circuit":[44],"elements,":[45],"nevertheless,":[46],"they":[47],"still":[48],"generate":[49],"2-scroll":[50],"4-scroll":[52],"attractors.":[53],"Chaotic":[54],"behavior":[55,75],"is":[56],"illustrated":[57],"using":[58],"phase":[59],"portraits,":[60],"bifurcation":[61],"diagrams":[62],"Lyapunov":[64],"exponent":[65],"spectra,":[66],"revealing":[67],"several":[68],"attractors":[70],"notably":[72],"similar":[73],"dynamical":[74],"in":[76],"both":[77],"systems.":[78]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}