{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,18]],"date-time":"2025-10-18T10:57:03Z","timestamp":1760785023956,"version":"3.41.2"},"reference-count":50,"publisher":"World Scientific Pub Co Pte Ltd","issue":"16","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2021,12,30]]},"abstract":"<jats:p> This paper addresses the effects of offset terms on the dynamics of a modified Chua\u2019s oscillator. The mathematical model is derived using Kirchhoff\u2019s laws. The model is analyzed with the help of the maximal Lyapunov exponent, bifurcation diagrams, phase portraits, and basins of attraction. The investigations show that the offset terms break the symmetry of the system, generating more complex nonlinear phenomena like coexisting asymmetric bifurcations, coexisting asymmetric attractors, asymmetric double-scroll chaotic attractors and asymmetric attraction basins. Also, a hidden attractor (period-1 limit cycle) is found when varying the initial conditions. More interestingly, this latter attractor coexists with all other self-excited ones. A microcontroller-based implementation of the circuit is carried out to verify the numerical investigations. <\/jats:p>","DOI":"10.1142\/s0218127421502436","type":"journal-article","created":{"date-parts":[[2021,12,21]],"date-time":"2021-12-21T03:06:46Z","timestamp":1640056006000},"source":"Crossref","is-referenced-by-count":2,"title":["Dynamical Effects of Offset Terms on a Modified Chua\u2019s Oscillator and Its Circuit Implementation"],"prefix":"10.1142","volume":"31","author":[{"given":"L\u00e9andre Kamdjeu","family":"Kengne","sequence":"first","affiliation":[{"name":"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"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Karthikeyan","family":"Rajagopal","sequence":"additional","affiliation":[{"name":"Center for Nonlinear Systems, Chennai Institute of Technology, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nestor","family":"Tsafack","sequence":"additional","affiliation":[{"name":"Research Unit of Automation and Applied Computing (UR-AIA), Electrical Engineering, IUT-FV Bandjoun, University of Dschang, P. O. Box 134, Bandjoun, Cameroon"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Paul Didier Kamdem","family":"Kuate","sequence":"additional","affiliation":[{"name":"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"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Balamurali","family":"Ramakrishnan","sequence":"additional","affiliation":[{"name":"Center for Nonlinear Systems, Chennai Institute of Technology, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jacques","family":"Kengne","sequence":"additional","affiliation":[{"name":"Research Unit of Automation and Applied Computing (UR-AIA), Electrical Engineering, IUT-FV Bandjoun, University of Dschang, P. O. Box 134, Bandjoun, Cameroon"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hilaire Bertrand","family":"Fotsin","sequence":"additional","affiliation":[{"name":"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"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Justin Roger Mboupda","family":"Pone","sequence":"additional","affiliation":[{"name":"Research Unit of Automation and Applied Computing (UR-AIA), Electrical Engineering, IUT-FV Bandjoun, University of Dschang, P. O. Box 134, Bandjoun, Cameroon"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2021,12,20]]},"reference":[{"doi-asserted-by":"publisher","key":"S0218127421502436BIB001","DOI":"10.1016\/j.optlaseng.2020.106403"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB002","DOI":"10.1007\/s40998-019-00223-5"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB003","DOI":"10.1142\/S0218127417500675"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB004","DOI":"10.1142\/S0218127415500753"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB005","DOI":"10.1142\/S0218127418500190"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB006","DOI":"10.1080\/02564602.2017.1422395"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB007","DOI":"10.1142\/S0218127420500455"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB008","DOI":"10.1049\/el.2014.4341"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB009","DOI":"10.1007\/s11071-015-1983-7"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB010","DOI":"10.1080\/17513750701610010"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB011","DOI":"10.1142\/S0218127420500868"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB012","DOI":"10.1016\/j.physrep.2016.05.002"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB013","DOI":"10.1088\/0031-8949\/75\/5\/008"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB014","DOI":"10.1063\/1.5121028"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB015","DOI":"10.1142\/7200"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB016","DOI":"10.1093\/acprof:oso\/9780198507239.001.0001"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB017","DOI":"10.1016\/j.chaos.2013.08.018"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB018","DOI":"10.1007\/s11071-016-3047-z"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB019","DOI":"10.1080\/00207217.2021.1908631"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB020","DOI":"10.1016\/j.chaos.2021.110795"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB021","DOI":"10.1002\/cta.2968"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB022","DOI":"10.3182\/20140824-6-ZA-1003.02501"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB023","DOI":"10.1109\/ACCESS.2019.2900367"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB024","DOI":"10.1109\/TCSII.2020.3044096"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB025","DOI":"10.1142\/S0218127421500139"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB026","DOI":"10.1016\/0375-9601(81)90165-1"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB027","DOI":"10.1142\/S0218127414500345"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB028","DOI":"10.1007\/s11071-016-2882-2"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB029","DOI":"10.1016\/j.chaos.2021.110791"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB030","DOI":"10.1142\/S021812749100066X"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB031","DOI":"10.1103\/PhysRevA.50.2569"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB032","DOI":"10.1016\/j.jelechem.2010.05.008"},{"key":"S0218127421502436BIB033","first-page":"1","author":"Njitacke Z. T.","year":"2020","journal-title":"Neural Comput. Appl."},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB034","DOI":"10.1103\/PhysRevE.89.022918"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB035","DOI":"10.1016\/j.chaos.2016.10.002"},{"key":"S0218127421502436BIB036","first-page":"1","volume-title":"Anal. Integrated Circuits and Signal Processing","author":"Pone J. R. M.","year":"2019"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB037","DOI":"10.1007\/s40435-018-0431-1"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB038","DOI":"10.1515\/zna-2017-0409"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB039","DOI":"10.1016\/j.mejo.2019.104636"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB040","DOI":"10.3390\/app11020788"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB041","DOI":"10.1142\/S0218127419500561"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB042","DOI":"10.1142\/S0218127414500096"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB044","DOI":"10.1142\/S0218127404009119"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB045","DOI":"10.11648\/j.wjap.20190402.12"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB046","DOI":"10.1016\/S0960-0779(02)00410-1"},{"key":"S0218127421502436BIB047","first-page":"239","volume":"28","author":"Vaidyanathan S.","year":"2018","journal-title":"Arch. Contr. Sci."},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB048","DOI":"10.1016\/j.cnsns.2011.07.017"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB049","DOI":"10.1016\/j.cnsns.2020.105494"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB050","DOI":"10.1016\/0167-2789(85)90011-9"},{"doi-asserted-by":"publisher","key":"S0218127421502436BIB051","DOI":"10.1063\/5.0008875"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127421502436","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,12,21]],"date-time":"2021-12-21T03:09:01Z","timestamp":1640056141000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127421502436"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,12,20]]},"references-count":50,"journal-issue":{"issue":"16","published-print":{"date-parts":[[2021,12,30]]}},"alternative-id":["10.1142\/S0218127421502436"],"URL":"https:\/\/doi.org\/10.1142\/s0218127421502436","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"type":"print","value":"0218-1274"},{"type":"electronic","value":"1793-6551"}],"subject":[],"published":{"date-parts":[[2021,12,20]]},"article-number":"2150243"}}