{"id":"https://openalex.org/W2001065150","doi":"https://doi.org/10.1142/s0218127408020550","title":"FRACTIONAL-ORDER CHUA'S CIRCUIT: TIME-DOMAIN ANALYSIS, BIFURCATION, CHAOTIC BEHAVIOR AND TEST FOR CHAOS","display_name":"FRACTIONAL-ORDER CHUA'S CIRCUIT: TIME-DOMAIN ANALYSIS, BIFURCATION, CHAOTIC BEHAVIOR AND TEST FOR CHAOS","publication_year":2008,"publication_date":"2008-03-01","ids":{"openalex":"https://openalex.org/W2001065150","doi":"https://doi.org/10.1142/s0218127408020550","mag":"2001065150"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127408020550","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127408020550","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/A5073255599","display_name":"Donato Cafagna","orcid":"https://orcid.org/0000-0002-3804-8021"},"institutions":[{"id":"https://openalex.org/I142910587","display_name":"University of Salento","ror":"https://ror.org/03fc1k060","country_code":"IT","type":"education","lineage":["https://openalex.org/I142910587"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"DONATO CAFAGNA","raw_affiliation_strings":["Dipartimento Ingegneria Innovazione, Universit\u00e0 del Salento, Lecce, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento Ingegneria Innovazione, Universit\u00e0 del Salento, Lecce, Italy","institution_ids":["https://openalex.org/I142910587"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055199720","display_name":"Giuseppe Grassi","orcid":"https://orcid.org/0000-0002-8876-3760"},"institutions":[{"id":"https://openalex.org/I142910587","display_name":"University of Salento","ror":"https://ror.org/03fc1k060","country_code":"IT","type":"education","lineage":["https://openalex.org/I142910587"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"GIUSEPPE GRASSI","raw_affiliation_strings":["Dipartimento Ingegneria Innovazione, Universit\u00e0 del Salento, Lecce, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento Ingegneria Innovazione, Universit\u00e0 del Salento, Lecce, Italy","institution_ids":["https://openalex.org/I142910587"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I142910587"],"apc_list":null,"apc_paid":null,"fwci":3.3769,"has_fulltext":false,"cited_by_count":79,"citation_normalized_percentile":{"value":0.92121503,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"18","issue":"03","first_page":"615","last_page":"639"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.996399998664856,"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/chuas-circuit","display_name":"Chua's circuit","score":0.8432937860488892},{"id":"https://openalex.org/keywords/adomian-decomposition-method","display_name":"Adomian decomposition method","score":0.7574416399002075},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.7019369602203369},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.6565901041030884},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.637365460395813},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6056306958198547},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4875754714012146},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.4812045395374298},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.466907799243927},{"id":"https://openalex.org/keywords/time-domain","display_name":"Time domain","score":0.4523237645626068},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3720042109489441},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3350592851638794},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29015836119651794},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.26672178506851196},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24953794479370117},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08589237928390503}],"concepts":[{"id":"https://openalex.org/C2781300247","wikidata":"https://www.wikidata.org/wiki/Q258022","display_name":"Chua's circuit","level":3,"score":0.8432937860488892},{"id":"https://openalex.org/C120317633","wikidata":"https://www.wikidata.org/wiki/Q3042796","display_name":"Adomian decomposition method","level":3,"score":0.7574416399002075},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.7019369602203369},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.6565901041030884},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.637365460395813},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6056306958198547},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4875754714012146},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4812045395374298},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.466907799243927},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.4523237645626068},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3720042109489441},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3350592851638794},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29015836119651794},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.26672178506851196},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24953794479370117},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08589237928390503},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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/s0218127408020550","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127408020550","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1528904753","https://openalex.org/W1549386224","https://openalex.org/W1560556759","https://openalex.org/W1599681710","https://openalex.org/W1969135691","https://openalex.org/W1975670568","https://openalex.org/W1977358249","https://openalex.org/W1978349032","https://openalex.org/W1979449500","https://openalex.org/W1984762618","https://openalex.org/W2005104468","https://openalex.org/W2010187498","https://openalex.org/W2010835136","https://openalex.org/W2015928551","https://openalex.org/W2023600694","https://openalex.org/W2037545544","https://openalex.org/W2038287390","https://openalex.org/W2040722980","https://openalex.org/W2044257293","https://openalex.org/W2045882715","https://openalex.org/W2046035016","https://openalex.org/W2055164561","https://openalex.org/W2073542722","https://openalex.org/W2078231097","https://openalex.org/W2091877690","https://openalex.org/W2105534740","https://openalex.org/W2118244855","https://openalex.org/W2134837756","https://openalex.org/W2154953502","https://openalex.org/W2155572235","https://openalex.org/W2158038039","https://openalex.org/W2303324995","https://openalex.org/W2490093520","https://openalex.org/W2787959293","https://openalex.org/W3103697002","https://openalex.org/W4247371619","https://openalex.org/W4253062931","https://openalex.org/W4299429830","https://openalex.org/W4300506249","https://openalex.org/W4301223505"],"related_works":["https://openalex.org/W1995550449","https://openalex.org/W2233017382","https://openalex.org/W2765787715","https://openalex.org/W2801748458","https://openalex.org/W327886041","https://openalex.org/W2612801513","https://openalex.org/W2065885758","https://openalex.org/W4312668142","https://openalex.org/W2020717343","https://openalex.org/W2078907149"],"abstract_inverted_index":{"In":[0],"this":[1],"tutorial":[2],"the":[3,7,14,24,30,33,45,49,52,71,75,85,96,121,127],"chaotic":[4,124],"behavior":[5],"of":[6,17,32,74,123],"fractional-order":[8,72],"Chua's":[9,87],"circuit":[10,88],"is":[11,21,61,67,80,95,117],"investigated":[12],"from":[13],"time-domain":[15],"point":[16],"view.":[18],"The":[19,58,77],"objective":[20],"achieved":[22],"using":[23],"Adomian":[25],"decomposition":[26,50],"method,":[27,51],"which":[28,94],"enables":[29],"solution":[31],"fractional":[34,86],"differential":[35],"equations":[36],"to":[37,119],"be":[38],"found":[39],"in":[40,84,100,126],"closed":[41],"form.":[42],"By":[43],"exploiting":[44],"capabilities":[46],"offered":[47],"by":[48],"paper":[53],"presents":[54],"two":[55],"remarkable":[56],"findings.":[57],"first":[59],"result":[60,79],"that":[62,69,81],"a":[63,106],"novel":[64],"bifurcation":[65],"parameter":[66],"identified,":[68],"is,":[70],"q":[73,91],"derivative.":[76],"second":[78],"chaos":[82,113],"exists":[83],"with":[89],"order":[90,98],"=":[92],"1.05,":[93],"lowest":[97],"reported":[99],"literature":[101],"for":[102,112],"such":[103],"circuits.":[104],"Finally,":[105],"reliable":[107],"and":[108],"efficient":[109],"binary":[110],"test":[111],"(called":[114],"\"0\u20131":[115],"test\")":[116],"utilized":[118],"detect":[120],"presence":[122],"attractors":[125],"system":[128],"dynamics.":[129]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":13},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}