{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,18]],"date-time":"2025-10-18T10:37:58Z","timestamp":1760783878720},"reference-count":25,"publisher":"World Scientific Pub Co Pte Lt","issue":"10","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2014,10]]},"abstract":"<jats:p> In addition to border collision bifurcation, the time delay controlled two-cell DC\/DC buck converter is shown to exhibit a chaotic behavior as well. The time delay controller adds new design parameters to the system and therefore the variation of a parameter may lead to different types of bifurcation. In this work, we present a thorough analysis of different scenarios leading to bifurcation and chaos. We show that the time delay controlled two-cell DC\/DC buck converter may also exhibit a Neimark\u2013Sacker bifurcation which for some parameter set may lead to a 2D torus that may then break yielding a chaotic behavior. Besides, the saturation of the controller can also lead to the coexistence of a stable focus and a chaotic attractor. The results are presented using numerical simulation of a discrete map of the two-cell DC\/DC buck converter obtained by expressing successive crossings of Poincar\u00e9 section in terms of each other. <\/jats:p>","DOI":"10.1142\/s0218127414501247","type":"journal-article","created":{"date-parts":[[2014,10,31]],"date-time":"2014-10-31T01:52:45Z","timestamp":1414720365000},"page":"1450124","source":"Crossref","is-referenced-by-count":8,"title":["Quasi-Periodicity, Chaos and Coexistence in the Time Delay Controlled Two-Cell DC\u2013DC Buck Converter"],"prefix":"10.1142","volume":"24","author":[{"given":"Karama","family":"Kouba\u00e2","sequence":"first","affiliation":[{"name":"Control and Energy Management Laboratory CEMLab, National Engineering School of Sfax, University of Sfax, BP 1173, 3038 Sfax, Tunisia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Moez","family":"Feki","sequence":"additional","affiliation":[{"name":"\u00c9cole Sup\u00e9rieure des Sciences et Technologie de Hammam Sousse, University of Sousse, Tunisia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2014,10,30]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-011-9978-5"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1109\/9780470545393"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1142\/S021812749900016X"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1109\/81.768837"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127497001862"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1142\/9789812705303_0016"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1109\/81.940187"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127409023895"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-010-9754-y"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1063\/1.3555834"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1109\/31.1858"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1109\/63.124574"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127411028465"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1002\/cta.735"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1109\/41.585833"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2002.803174"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(92)90745-8"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127406014629"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1016\/j.matcom.2006.02.022"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127400001109"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2007.01.091"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1002\/cta.4490220403"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1109\/81.260215"},{"key":"rf25","doi-asserted-by":"publisher","DOI":"10.1109\/JPROC.2002.1015006"},{"key":"rf26","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127411029926"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127414501247","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T15:29:47Z","timestamp":1565105387000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127414501247"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,10]]},"references-count":25,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2014,10,30]]},"published-print":{"date-parts":[[2014,10]]}},"alternative-id":["10.1142\/S0218127414501247"],"URL":"https:\/\/doi.org\/10.1142\/s0218127414501247","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,10]]}}}