{"id":"https://openalex.org/W2108504478","doi":"https://doi.org/10.1142/s0218127404009119","title":"HYPERCHAOS IN A MODIFIED CANONICAL CHUA'S CIRCUIT","display_name":"HYPERCHAOS IN A MODIFIED CANONICAL CHUA'S CIRCUIT","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2108504478","doi":"https://doi.org/10.1142/s0218127404009119","mag":"2108504478"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127404009119","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127404009119","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/A5058462424","display_name":"K. Thamilmaran","orcid":"https://orcid.org/0000-0001-7888-3489"},"institutions":[{"id":"https://openalex.org/I4076070","display_name":"Bharathidasan University","ror":"https://ror.org/02w7vnb60","country_code":"IN","type":"education","lineage":["https://openalex.org/I4076070"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"K. THAMILMARAN","raw_affiliation_strings":["Centre for Nonlinear Dynamics, Department of Physics, Bharathidasan University, Tiruchirappalli 620 024, India"],"affiliations":[{"raw_affiliation_string":"Centre for Nonlinear Dynamics, Department of Physics, Bharathidasan University, Tiruchirappalli 620 024, India","institution_ids":["https://openalex.org/I4076070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046071226","display_name":"M. Lakshmanan","orcid":"https://orcid.org/0000-0001-6687-4251"},"institutions":[{"id":"https://openalex.org/I4076070","display_name":"Bharathidasan University","ror":"https://ror.org/02w7vnb60","country_code":"IN","type":"education","lineage":["https://openalex.org/I4076070"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"M. LAKSHMANAN","raw_affiliation_strings":["Centre for Nonlinear Dynamics, Department of Physics, Bharathidasan University, Tiruchirappalli 620 024, India"],"affiliations":[{"raw_affiliation_string":"Centre for Nonlinear Dynamics, Department of Physics, Bharathidasan University, Tiruchirappalli 620 024, India","institution_ids":["https://openalex.org/I4076070"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080047403","display_name":"A. Venkatesan","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. VENKATESAN","raw_affiliation_strings":["Department of Physics, Nehru Memorial College, Puthnampatti, Tiruchirappalli 620 007, India"],"affiliations":[{"raw_affiliation_string":"Department of Physics, Nehru Memorial College, Puthnampatti, Tiruchirappalli 620 007, India","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058462424"],"corresponding_institution_ids":["https://openalex.org/I4076070"],"apc_list":null,"apc_paid":null,"fwci":7.1658,"has_fulltext":false,"cited_by_count":177,"citation_normalized_percentile":{"value":0.97741001,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"14","issue":"01","first_page":"221","last_page":"243"},"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9918000102043152,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9822999835014343,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/resistor","display_name":"Resistor","score":0.6778602600097656},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.623178243637085},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6084924936294556},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5984659790992737},{"id":"https://openalex.org/keywords/chuas-circuit","display_name":"Chua's circuit","score":0.5977143049240112},{"id":"https://openalex.org/keywords/capacitor","display_name":"Capacitor","score":0.5484573841094971},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.5392329692840576},{"id":"https://openalex.org/keywords/inductor","display_name":"Inductor","score":0.5332204103469849},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.48951900005340576},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.4843538999557495},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.461304247379303},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.43068018555641174},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.4298502802848816},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.40825003385543823},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.38956740498542786},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37948259711265564},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.2895386219024658},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21495622396469116},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2114330232143402},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.17663800716400146},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.09507107734680176},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07839691638946533}],"concepts":[{"id":"https://openalex.org/C137488568","wikidata":"https://www.wikidata.org/wiki/Q5321","display_name":"Resistor","level":3,"score":0.6778602600097656},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.623178243637085},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6084924936294556},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5984659790992737},{"id":"https://openalex.org/C2781300247","wikidata":"https://www.wikidata.org/wiki/Q258022","display_name":"Chua's circuit","level":3,"score":0.5977143049240112},{"id":"https://openalex.org/C52192207","wikidata":"https://www.wikidata.org/wiki/Q5322","display_name":"Capacitor","level":3,"score":0.5484573841094971},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.5392329692840576},{"id":"https://openalex.org/C144534570","wikidata":"https://www.wikidata.org/wiki/Q5325","display_name":"Inductor","level":3,"score":0.5332204103469849},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.48951900005340576},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.4843538999557495},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.461304247379303},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.43068018555641174},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.4298502802848816},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.40825003385543823},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.38956740498542786},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37948259711265564},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2895386219024658},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21495622396469116},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2114330232143402},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.17663800716400146},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.09507107734680176},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07839691638946533},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127404009119","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127404009119","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":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W637047068","https://openalex.org/W1964154886","https://openalex.org/W1966316755","https://openalex.org/W1975691658","https://openalex.org/W1982132919","https://openalex.org/W2010168025","https://openalex.org/W2017356737","https://openalex.org/W2029188985","https://openalex.org/W2031604902","https://openalex.org/W2031668778","https://openalex.org/W2036186221","https://openalex.org/W2043964945","https://openalex.org/W2053648621","https://openalex.org/W2060587651","https://openalex.org/W2063137023","https://openalex.org/W2072426572","https://openalex.org/W2085503526","https://openalex.org/W2086603655","https://openalex.org/W2093360411","https://openalex.org/W2100625516","https://openalex.org/W2100722186","https://openalex.org/W2107883576","https://openalex.org/W2132296474","https://openalex.org/W2134100806","https://openalex.org/W2136553991","https://openalex.org/W2152254020"],"related_works":["https://openalex.org/W2350504028","https://openalex.org/W165355861","https://openalex.org/W1982425291","https://openalex.org/W2124777997","https://openalex.org/W2378563815","https://openalex.org/W2067614877","https://openalex.org/W3014947789","https://openalex.org/W2154258178","https://openalex.org/W2051929479","https://openalex.org/W2285289813"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"present":[4],"the":[5,22,28,68],"hyperchaos":[6,63,74],"dynamics":[7],"of":[8,20,24,27,32,87],"a":[9,41,45,53,85],"modified":[10],"canonical":[11],"Chua's":[12,29],"electrical":[13],"circuit.":[14],"This":[15,94],"circuit,":[16],"which":[17],"is":[18,52,71,82],"capable":[19],"realizing":[21],"behavior":[23,57],"every":[25],"member":[26],"family,":[30],"consists":[31],"just":[33],"five":[34],"linear":[35,47],"elements":[36],"(resistors,":[37],"inductors":[38],"and":[39,44,60,104],"capacitors),":[40],"negative":[42],"conductor":[43],"piecewise":[46],"resistor.":[48],"The":[49,73],"route":[50],"followed":[51],"transition":[54],"from":[55],"regular":[56],"to":[58,62],"chaos":[59],"then":[61],"through":[64],"border-collision":[65],"bifurcation,":[66],"as":[67],"system":[69],"parameter":[70],"varied.":[72],"dynamics,":[75],"characterized":[76],"by":[77,84],"two":[78],"positive":[79],"Lyapunov":[80],"exponents,":[81],"described":[83],"set":[86],"four":[88],"coupled":[89],"first-order":[90],"ordinary":[91],"differential":[92],"equations.":[93],"has":[95],"been":[96],"investigated":[97],"extensively":[98],"using":[99],"laboratory":[100],"experiments,":[101],"Pspice":[102],"simulation":[103],"numerical":[105],"analysis.":[106]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":10},{"year":2012,"cited_by_count":8}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
