{"id":"https://openalex.org/W4200608244","doi":"https://doi.org/10.1142/s0218127421502436","title":"Dynamical Effects of Offset Terms on a Modified Chua\u2019s Oscillator and Its Circuit Implementation","display_name":"Dynamical Effects of Offset Terms on a Modified Chua\u2019s Oscillator and Its Circuit Implementation","publication_year":2021,"publication_date":"2021-12-20","ids":{"openalex":"https://openalex.org/W4200608244","doi":"https://doi.org/10.1142/s0218127421502436"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127421502436","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127421502436","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/A5090029163","display_name":"L\u00e9andre Kamdjeu Kengne","orcid":"https://orcid.org/0000-0002-9197-8711"},"institutions":[{"id":"https://openalex.org/I178331978","display_name":"Universit\u00e9 de Dschang","ror":"https://ror.org/0566t4z20","country_code":"CM","type":"education","lineage":["https://openalex.org/I178331978"]}],"countries":["CM"],"is_corresponding":true,"raw_author_name":"L\u00e9andre Kamdjeu Kengne","raw_affiliation_strings":["Research Unit of Condensed Matter, Electronics and Signal Processing (UR-MACETS), Department of Physics, Faculty of Sciences, University of Dschang, P. O. Box 67, Dschang, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Unit of Condensed Matter, Electronics and Signal Processing (UR-MACETS), Department of Physics, Faculty of Sciences, University of Dschang, P. O. Box 67, Dschang, Cameroon","institution_ids":["https://openalex.org/I178331978"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057487605","display_name":"Karthikeyan Rajagopal","orcid":"https://orcid.org/0000-0003-2993-7182"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Karthikeyan Rajagopal","raw_affiliation_strings":["Center for Nonlinear Systems, Chennai Institute of Technology, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Nonlinear Systems, Chennai Institute of Technology, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090170272","display_name":"Nestor Tsafack","orcid":"https://orcid.org/0000-0002-6220-6931"},"institutions":[{"id":"https://openalex.org/I178331978","display_name":"Universit\u00e9 de Dschang","ror":"https://ror.org/0566t4z20","country_code":"CM","type":"education","lineage":["https://openalex.org/I178331978"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Nestor Tsafack","raw_affiliation_strings":["Research Unit of Automation and Applied Computing (UR-AIA), Electrical Engineering, IUT-FV Bandjoun, University of Dschang, P. O. Box 134, Bandjoun, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Unit of Automation and Applied Computing (UR-AIA), Electrical Engineering, IUT-FV Bandjoun, University of Dschang, P. O. Box 134, Bandjoun, Cameroon","institution_ids":["https://openalex.org/I178331978"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010117665","display_name":"Paul Didier Kamdem Kuate","orcid":"https://orcid.org/0000-0002-9485-4044"},"institutions":[{"id":"https://openalex.org/I178331978","display_name":"Universit\u00e9 de Dschang","ror":"https://ror.org/0566t4z20","country_code":"CM","type":"education","lineage":["https://openalex.org/I178331978"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Paul Didier Kamdem Kuate","raw_affiliation_strings":["Research Unit of Condensed Matter, Electronics and Signal Processing (UR-MACETS), Department of Physics, Faculty of Sciences, University of Dschang, P. O. Box 67, Dschang, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Unit of Condensed Matter, Electronics and Signal Processing (UR-MACETS), Department of Physics, Faculty of Sciences, University of Dschang, P. O. Box 67, Dschang, Cameroon","institution_ids":["https://openalex.org/I178331978"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009230459","display_name":"Balamurali Ramakrishnan","orcid":"https://orcid.org/0000-0001-8412-9466"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Balamurali Ramakrishnan","raw_affiliation_strings":["Center for Nonlinear Systems, Chennai Institute of Technology, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Nonlinear Systems, Chennai Institute of Technology, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079654260","display_name":"Jacques Kengne","orcid":"https://orcid.org/0000-0002-1165-1808"},"institutions":[{"id":"https://openalex.org/I178331978","display_name":"Universit\u00e9 de Dschang","ror":"https://ror.org/0566t4z20","country_code":"CM","type":"education","lineage":["https://openalex.org/I178331978"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Jacques Kengne","raw_affiliation_strings":["Research Unit of Automation and Applied Computing (UR-AIA), Electrical Engineering, IUT-FV Bandjoun, University of Dschang, P. O. Box 134, Bandjoun, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Unit of Automation and Applied Computing (UR-AIA), Electrical Engineering, IUT-FV Bandjoun, University of Dschang, P. O. Box 134, Bandjoun, Cameroon","institution_ids":["https://openalex.org/I178331978"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008267490","display_name":"Hilaire Bertrand Fotsin","orcid":"https://orcid.org/0000-0002-3186-953X"},"institutions":[{"id":"https://openalex.org/I178331978","display_name":"Universit\u00e9 de Dschang","ror":"https://ror.org/0566t4z20","country_code":"CM","type":"education","lineage":["https://openalex.org/I178331978"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Hilaire Bertrand Fotsin","raw_affiliation_strings":["Research Unit of Condensed Matter, Electronics and Signal Processing (UR-MACETS), Department of Physics, Faculty of Sciences, University of Dschang, P. O. Box 67, Dschang, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Unit of Condensed Matter, Electronics and Signal Processing (UR-MACETS), Department of Physics, Faculty of Sciences, University of Dschang, P. O. Box 67, Dschang, Cameroon","institution_ids":["https://openalex.org/I178331978"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055092890","display_name":"Justin Roger Mboupda Pone","orcid":"https://orcid.org/0000-0003-1420-8630"},"institutions":[{"id":"https://openalex.org/I178331978","display_name":"Universit\u00e9 de Dschang","ror":"https://ror.org/0566t4z20","country_code":"CM","type":"education","lineage":["https://openalex.org/I178331978"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Justin Roger Mboupda Pone","raw_affiliation_strings":["Research Unit of Automation and Applied Computing (UR-AIA), Electrical Engineering, IUT-FV Bandjoun, University of Dschang, P. O. Box 134, Bandjoun, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Unit of Automation and Applied Computing (UR-AIA), Electrical Engineering, IUT-FV Bandjoun, University of Dschang, P. O. Box 134, Bandjoun, Cameroon","institution_ids":["https://openalex.org/I178331978"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5090029163"],"corresponding_institution_ids":["https://openalex.org/I178331978"],"apc_list":null,"apc_paid":null,"fwci":0.3935,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.61824891,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"31","issue":"16","first_page":null,"last_page":null},"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9987999796867371,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9965999722480774,"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":0.894762396812439},{"id":"https://openalex.org/keywords/phase-portrait","display_name":"Phase portrait","score":0.8040651082992554},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.6911505460739136},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.6781394481658936},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6156970262527466},{"id":"https://openalex.org/keywords/offset","display_name":"Offset (computer science)","score":0.5455410480499268},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.539467990398407},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5047124624252319},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.49506106972694397},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.4738600552082062},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.4696689546108246},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4625401496887207},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.39612704515457153},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.331145316362381},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32838913798332214},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.26968705654144287},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20926696062088013},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11795052886009216}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.894762396812439},{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.8040651082992554},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.6911505460739136},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.6781394481658936},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6156970262527466},{"id":"https://openalex.org/C175291020","wikidata":"https://www.wikidata.org/wiki/Q1156822","display_name":"Offset (computer science)","level":2,"score":0.5455410480499268},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.539467990398407},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5047124624252319},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.49506106972694397},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.4738600552082062},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.4696689546108246},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4625401496887207},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.39612704515457153},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.331145316362381},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32838913798332214},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.26968705654144287},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20926696062088013},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11795052886009216},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","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":1,"locations":[{"id":"doi:10.1142/s0218127421502436","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127421502436","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W1892177549","https://openalex.org/W1967332757","https://openalex.org/W1972634840","https://openalex.org/W1991089620","https://openalex.org/W1991178276","https://openalex.org/W2035295698","https://openalex.org/W2039549756","https://openalex.org/W2043020406","https://openalex.org/W2051868244","https://openalex.org/W2065885758","https://openalex.org/W2078907149","https://openalex.org/W2103748903","https://openalex.org/W2108504478","https://openalex.org/W2109806609","https://openalex.org/W2129164692","https://openalex.org/W2152254020","https://openalex.org/W2408502140","https://openalex.org/W2410021215","https://openalex.org/W2410933634","https://openalex.org/W2489691424","https://openalex.org/W2517947924","https://openalex.org/W2530908781","https://openalex.org/W2622753495","https://openalex.org/W2793673860","https://openalex.org/W2793841750","https://openalex.org/W2794418178","https://openalex.org/W2796609182","https://openalex.org/W2916323064","https://openalex.org/W2940590710","https://openalex.org/W2955714521","https://openalex.org/W2963840034","https://openalex.org/W2978352999","https://openalex.org/W2979597624","https://openalex.org/W2985035892","https://openalex.org/W3014798532","https://openalex.org/W3025587973","https://openalex.org/W3034877242","https://openalex.org/W3049436677","https://openalex.org/W3092229344","https://openalex.org/W3112533795","https://openalex.org/W3124925098","https://openalex.org/W3125342352","https://openalex.org/W3131627768","https://openalex.org/W3133756905","https://openalex.org/W3134070653","https://openalex.org/W3137276606","https://openalex.org/W4255864515"],"related_works":["https://openalex.org/W1628429654","https://openalex.org/W1083439616","https://openalex.org/W2978842908","https://openalex.org/W3181518534","https://openalex.org/W2023046846","https://openalex.org/W2974193234","https://openalex.org/W2093909018","https://openalex.org/W2374651525","https://openalex.org/W3138933321","https://openalex.org/W2147537746"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,9,29,32,48,52,55,88,106,113],"effects":[4],"of":[5,11,31,42,54,105],"offset":[6,49],"terms":[7,50],"on":[8],"dynamics":[10],"a":[12,78],"modified":[13],"Chua\u2019s":[14],"oscillator.":[15],"The":[16,24,44],"mathematical":[17],"model":[18,25],"is":[19,26,84,108],"derived":[20],"using":[21],"Kirchhoff\u2019s":[22],"laws.":[23],"analyzed":[27],"with":[28,97],"help":[30],"maximal":[33],"Lyapunov":[34],"exponent,":[35],"bifurcation":[36],"diagrams,":[37],"phase":[38],"portraits,":[39],"and":[40,73],"basins":[41],"attraction.":[43],"investigations":[45],"show":[46],"that":[47],"break":[51],"symmetry":[53],"system,":[56],"generating":[57],"more":[58],"complex":[59],"nonlinear":[60],"phenomena":[61],"like":[62],"coexisting":[63,66],"asymmetric":[64,67,69,74],"bifurcations,":[65],"attractors,":[68],"double-scroll":[70],"chaotic":[71],"attractors":[72],"attraction":[75],"basins.":[76],"Also,":[77],"hidden":[79],"attractor":[80,95],"(period-1":[81],"limit":[82],"cycle)":[83],"found":[85],"when":[86],"varying":[87],"initial":[89],"conditions.":[90],"More":[91],"interestingly,":[92],"this":[93],"latter":[94],"coexists":[96],"all":[98],"other":[99],"self-excited":[100],"ones.":[101],"A":[102],"microcontroller-based":[103],"implementation":[104],"circuit":[107],"carried":[109],"out":[110],"to":[111],"verify":[112],"numerical":[114],"investigations.":[115]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
