{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T14:59:10Z","timestamp":1775055550985,"version":"3.50.1"},"reference-count":48,"publisher":"World Scientific Pub Co Pte Ltd","issue":"05","funder":[{"name":"Center for Materials Research, Chennai Institute of Technology","award":["CIT\/CMR\/2021\/RD\/003"],"award-info":[{"award-number":["CIT\/CMR\/2021\/RD\/003"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2022,4]]},"abstract":"<jats:p> Nonlinear dynamical systems with hidden attractors belong to a recent and hot area of research. Such systems can exist in different forms, such as without equilibrium or with a stable equilibrium point. This paper focuses on the dynamics of a new 4D chaotic hyper-jerk system with a unique equilibrium point. It is shown that the new hyper-jerk system effectively exhibits different hidden behaviors, which are hidden point attractor, hidden periodic attractor, and hidden chaotic state. Collective behaviors of the system are studied in terms of the equilibrium point, bifurcation diagrams, phase portraits, frequency spectra, and two-parameter Lyapunov exponents. Some remarkable and exciting properties are found in the new snap system, such as period-doubling transition, asymmetric bubbles, and coexisting bifurcations. Also, we demonstrate that it is possible to generate different varieties of two, three, four, or five coexisting hidden and self-excited attractors in the introduced model. In addition, the amplitude and offset of the hidden chaotic attractors are perfectly controlled for possible application in engineering. Furthermore, a circuit design has been implemented to support the physical feasibility of the proposed model. <\/jats:p>","DOI":"10.1142\/s0218127422500638","type":"journal-article","created":{"date-parts":[[2022,4,26]],"date-time":"2022-04-26T02:11:31Z","timestamp":1650939091000},"source":"Crossref","is-referenced-by-count":16,"title":["Hidden and Self-Excited Collective Dynamics of a New Multistable Hyper-Jerk System with Unique Equilibrium"],"prefix":"10.1142","volume":"32","author":[{"given":"M. D.","family":"Vijayakumar","sequence":"first","affiliation":[{"name":"Centre for Material Research, Chennai Institute of Technology, Chennai, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hayder","family":"Natiq","sequence":"additional","affiliation":[{"name":"Information Technology College, Imam Ja\u2019afar Al-Sadiq University, 10001, Baghdad, Iraq"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8395-4480","authenticated-orcid":false,"given":"Gervais Dolvis","family":"Leutcho","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, \u00c9cole de Technologie Sup\u00e9rieure (\u00c9TS), Montr\u00e9al, Qu\u00e9bec H3C1K3, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Karthikeyan","family":"Rajagopal","sequence":"additional","affiliation":[{"name":"Centre for Nonlinear Systems, Chennai Institute of Technology, Chennai, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sajad","family":"Jafari","sequence":"additional","affiliation":[{"name":"Health Technology Research Institute, Amirkabir University of Technology (Tehran Polytechnic), Iran"},{"name":"Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Iqtadar","family":"Hussain","sequence":"additional","affiliation":[{"name":"Mathematics Program, Department of Mathematics, Statistics and Physics, College of Arts and Sciences, Qatar University, 2713, Doha, Qatar"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2022,4,25]]},"reference":[{"key":"S0218127422500638BIB001","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2020.3026702"},{"key":"S0218127422500638BIB002","doi-asserted-by":"publisher","DOI":"10.1109\/TII.2020.2992438"},{"key":"S0218127422500638BIB003","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2019.2907444"},{"key":"S0218127422500638BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2020.110188"},{"key":"S0218127422500638BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(92)90442-O"},{"key":"S0218127422500638BIB006","doi-asserted-by":"publisher","DOI":"10.1063\/1.5121028"},{"key":"S0218127422500638BIB007","doi-asserted-by":"publisher","DOI":"10.1155\/2020\/6182183"},{"key":"S0218127422500638BIB008","doi-asserted-by":"publisher","DOI":"10.1007\/s40998-019-00232-4"},{"key":"S0218127422500638BIB009","first-page":"1","author":"Gu J.","year":"2021","journal-title":"The European Phys. J.: Special Topics"},{"key":"S0218127422500638BIB010","doi-asserted-by":"publisher","DOI":"10.3390\/e20080556"},{"key":"S0218127422500638BIB011","doi-asserted-by":"publisher","DOI":"10.1063\/1.5055644"},{"key":"S0218127422500638BIB012","doi-asserted-by":"publisher","DOI":"10.1177\/1687814018793053"},{"key":"S0218127422500638BIB013","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127419501876"},{"key":"S0218127422500638BIB014","doi-asserted-by":"publisher","DOI":"10.1007\/s40435-017-0318-6"},{"key":"S0218127422500638BIB015","doi-asserted-by":"publisher","DOI":"10.1007\/s12043-020-1944-7"},{"key":"S0218127422500638BIB016","doi-asserted-by":"publisher","DOI":"10.1140\/epjp\/s13360-020-00338-3"},{"key":"S0218127422500638BIB017","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127493000878"},{"key":"S0218127422500638BIB018","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127400001171"},{"key":"S0218127422500638BIB019","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127413300024"},{"key":"S0218127422500638BIB020","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2015.04.007"},{"key":"S0218127422500638BIB021","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2017.12.008"},{"key":"S0218127422500638BIB022","doi-asserted-by":"publisher","DOI":"10.1115\/1.4046639"},{"key":"S0218127422500638BIB023","doi-asserted-by":"publisher","DOI":"10.1088\/1402-4896\/ab92da"},{"key":"S0218127422500638BIB024","first-page":"1","author":"Leutcho G. D.","year":"2021","journal-title":"The European Phys. J.: Special Topics"},{"key":"S0218127422500638BIB025","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-014-1568-x"},{"key":"S0218127422500638BIB026","doi-asserted-by":"publisher","DOI":"10.1063\/5.0006020"},{"key":"S0218127422500638BIB027","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127420500674"},{"key":"S0218127422500638BIB028","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127419502079"},{"key":"S0218127422500638BIB029","doi-asserted-by":"publisher","DOI":"10.1140\/epjst\/e2020-900186-5"},{"key":"S0218127422500638BIB030","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(99)00819-1"},{"key":"S0218127422500638BIB031","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2021.111174"},{"key":"S0218127422500638BIB032","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2011.08.008"},{"key":"S0218127422500638BIB033","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2018.04.016"},{"key":"S0218127422500638BIB034","doi-asserted-by":"publisher","DOI":"10.1007\/s10470-019-01436-8"},{"key":"S0218127422500638BIB035","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(85)90687-5"},{"key":"S0218127422500638BIB036","first-page":"1750053-1","volume":"27","author":"Pham V.-T.","year":"2017","journal-title":"Int. J. Bifurcation and Chaos"},{"key":"S0218127422500638BIB037","doi-asserted-by":"publisher","DOI":"10.1140\/epjb\/e2017-80533-5"},{"key":"S0218127422500638BIB038","doi-asserted-by":"publisher","DOI":"10.1515\/zna-2017-0409"},{"key":"S0218127422500638BIB039","doi-asserted-by":"publisher","DOI":"10.1088\/1674-1056\/27\/10\/100501"},{"key":"S0218127422500638BIB040","doi-asserted-by":"publisher","DOI":"10.1063\/1.3615232"},{"key":"S0218127422500638BIB041","volume-title":"Nonlinear Dynamics and Chaos","author":"Strogatz S.","year":"1994"},{"key":"S0218127422500638BIB042","doi-asserted-by":"publisher","DOI":"10.1063\/5.0057761"},{"key":"S0218127422500638BIB043","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2011.07.017"},{"key":"S0218127422500638BIB044","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(85)90011-9"},{"key":"S0218127422500638BIB045","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-020-05495-9"},{"key":"S0218127422500638BIB046","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2021.132927"},{"key":"S0218127422500638BIB047","doi-asserted-by":"publisher","DOI":"10.1007\/s12043-020-1937-6"},{"key":"S0218127422500638BIB048","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2019.07.004"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127422500638","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,4,26]],"date-time":"2022-04-26T02:11:54Z","timestamp":1650939114000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0218127422500638"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,4]]},"references-count":48,"journal-issue":{"issue":"05","published-print":{"date-parts":[[2022,4]]}},"alternative-id":["10.1142\/S0218127422500638"],"URL":"https:\/\/doi.org\/10.1142\/s0218127422500638","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,4]]},"article-number":"2250063"}}