{"id":"https://openalex.org/W2225828855","doi":"https://doi.org/10.1142/s0218127415300372","title":"Stability Analysis and Mapping of Multiple Dynamics of Chua\u2019s Circuit in Full Four-Parameter Spaces","display_name":"Stability Analysis and Mapping of Multiple Dynamics of Chua\u2019s Circuit in Full Four-Parameter Spaces","publication_year":2015,"publication_date":"2015-12-15","ids":{"openalex":"https://openalex.org/W2225828855","doi":"https://doi.org/10.1142/s0218127415300372","mag":"2225828855"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127415300372","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127415300372","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/A5052588055","display_name":"Ronilson Rocha","orcid":"https://orcid.org/0000-0002-9079-8196"},"institutions":[{"id":"https://openalex.org/I10824318","display_name":"Universidade Federal de Ouro Preto","ror":"https://ror.org/056s65p46","country_code":"BR","type":"education","lineage":["https://openalex.org/I10824318"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Ronilson Rocha","raw_affiliation_strings":["Federal University of Ouro Preto \u2013 UFOP/EM/DECAT, University Campus Morro do Cruzeiro, 35400-000, Ouro Preto, MG, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Federal University of Ouro Preto \u2013 UFOP/EM/DECAT, University Campus Morro do Cruzeiro, 35400-000, Ouro Preto, MG, Brazil","institution_ids":["https://openalex.org/I10824318"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001614759","display_name":"Rene O. Medrano-T","orcid":"https://orcid.org/0000-0003-0866-2466"},"institutions":[{"id":"https://openalex.org/I88273585","display_name":"Universidade Federal de S\u00e3o Paulo","ror":"https://ror.org/02k5swt12","country_code":"BR","type":"education","lineage":["https://openalex.org/I88273585"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Rene Orlando Medrano-T.","raw_affiliation_strings":["Federal University of S\u00e3o Paulo \u2013 UNIFESP/DCET, University Campus Diadema, 09972-270, Diadema, SP, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Federal University of S\u00e3o Paulo \u2013 UNIFESP/DCET, University Campus Diadema, 09972-270, Diadema, SP, Brazil","institution_ids":["https://openalex.org/I88273585"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0877,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.87127262,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"25","issue":"13","first_page":"1530037","last_page":"1530037"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9998000264167786,"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":0.9998000264167786,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9972000122070312,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9965000152587891,"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/attractor","display_name":"Attractor","score":0.7881494760513306},{"id":"https://openalex.org/keywords/chuas-circuit","display_name":"Chua's circuit","score":0.6752240061759949},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6126736402511597},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5618124008178711},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.5427387952804565},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5176763534545898},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.4951294958591461},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.48038607835769653},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.4554450511932373},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.4436168968677521},{"id":"https://openalex.org/keywords/complex-dynamics","display_name":"Complex dynamics","score":0.4289245009422302},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.42083248496055603},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4153265357017517},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4046779274940491},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3075326681137085},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2491993010044098},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16584494709968567},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10353156924247742},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10342144966125488},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.0981069803237915}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.7881494760513306},{"id":"https://openalex.org/C2781300247","wikidata":"https://www.wikidata.org/wiki/Q258022","display_name":"Chua's circuit","level":3,"score":0.6752240061759949},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6126736402511597},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5618124008178711},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.5427387952804565},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5176763534545898},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.4951294958591461},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.48038607835769653},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.4554450511932373},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.4436168968677521},{"id":"https://openalex.org/C126701199","wikidata":"https://www.wikidata.org/wiki/Q264224","display_name":"Complex dynamics","level":2,"score":0.4289245009422302},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.42083248496055603},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4153265357017517},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4046779274940491},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3075326681137085},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2491993010044098},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16584494709968567},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10353156924247742},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10342144966125488},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.0981069803237915},{"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},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127415300372","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127415300372","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":[{"score":0.6800000071525574,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320312285","display_name":"Funda\u00e7\u00e3o Gorceix","ror":"https://ror.org/026ftd493"},{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W118183761","https://openalex.org/W1487127700","https://openalex.org/W1599681710","https://openalex.org/W1965360955","https://openalex.org/W1970650503","https://openalex.org/W1978407782","https://openalex.org/W1991829357","https://openalex.org/W1996904828","https://openalex.org/W1998630995","https://openalex.org/W2006544532","https://openalex.org/W2013531932","https://openalex.org/W2018874482","https://openalex.org/W2022435117","https://openalex.org/W2033442890","https://openalex.org/W2036863116","https://openalex.org/W2048930179","https://openalex.org/W2057330177","https://openalex.org/W2061044059","https://openalex.org/W2065508215","https://openalex.org/W2066845331","https://openalex.org/W2067951364","https://openalex.org/W2074607275","https://openalex.org/W2076420009","https://openalex.org/W2089757160","https://openalex.org/W2089997475","https://openalex.org/W2114259953","https://openalex.org/W2116813895","https://openalex.org/W2145637647","https://openalex.org/W2152254020","https://openalex.org/W2169982364","https://openalex.org/W2329217704","https://openalex.org/W2490093520"],"related_works":["https://openalex.org/W1995550449","https://openalex.org/W2765787715","https://openalex.org/W2801748458","https://openalex.org/W2391803997","https://openalex.org/W327886041","https://openalex.org/W2612801513","https://openalex.org/W2065885758","https://openalex.org/W3011334989","https://openalex.org/W4388853539","https://openalex.org/W4312668142"],"abstract_inverted_index":{"The":[0,21],"stability":[1],"analysis":[2,79],"is":[3,23],"used":[4],"in":[5,17,91,114],"order":[6],"to":[7,10,30,45,48],"identify":[8,31],"and":[9,36,50,68,120],"map":[11],"different":[12],"dynamics":[13,52,87,113],"of":[14,66,94,103,105,112,117],"Chua\u2019s":[15,95,118],"circuit":[16,119],"full":[18],"four-parameter":[19],"spaces.":[20],"study":[22],"performed":[24],"using":[25],"describing":[26],"functions":[27],"that":[28,53,88],"allow":[29],"fixed":[32],"point,":[33],"periodic":[34],"orbit,":[35],"unstable":[37],"states":[38],"with":[39],"relative":[40],"accuracy,":[41],"as":[42,44],"well":[43],"predict":[46],"route":[47],"chaos":[49],"hidden":[51],"conventional":[54],"computational":[55],"methods":[56],"do":[57,82],"not":[58,83],"detect.":[59],"Numerical":[60],"investigations":[61],"based":[62],"on":[63],"the":[64,73,77,85,92,106,110,115,122],"computation":[65],"eigenvalues":[67],"Lyapunov":[69],"exponents":[70],"partially":[71],"support":[72],"predictions":[74],"obtained":[75,98],"from":[76,99],"theoretical":[78,123],"since":[80],"they":[81],"capture":[84],"multiple":[86],"can":[89],"coexist":[90],"operation":[93,116],"circuit.":[96],"Attractors":[97],"initial":[100],"conditions":[101],"outside":[102],"neighborhoods":[104],"equilibrium":[107],"points":[108],"confirm":[109],"multiplicity":[111],"corroborate":[121],"analysis.":[124]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}