{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,4]],"date-time":"2025-12-04T09:47:48Z","timestamp":1764841668741},"reference-count":30,"publisher":"World Scientific Pub Co Pte Lt","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2011,8]]},"abstract":"<jats:p> This paper considers the processes of torus formation and reconstruction through smooth and nonsmooth bifurcations in a pulse-width modulated DC\/DC converter with multilevel control. When operating in a regime of high corrector gain, converters of this type can generate structures of stable tori embedded one into the other and with their basins of attraction delineated by intervening repelling tori. The paper illustrates the coexistence of three stable tori with different resonance behaviors and shows how reconstruction of these tori takes place across the borders of different dynamical regimes. The paper also demonstrates how pairs of attracting and repelling tori emerge through border-collision torus-birth and border-collision torus-fold bifurcations. <\/jats:p>","DOI":"10.1142\/s0218127411029835","type":"journal-article","created":{"date-parts":[[2011,7,8]],"date-time":"2011-07-08T14:14:41Z","timestamp":1310134481000},"page":"2343-2356","source":"Crossref","is-referenced-by-count":14,"title":["TORUS BIFURCATIONS IN MULTILEVEL CONVERTER SYSTEMS"],"prefix":"10.1142","volume":"21","author":[{"given":"ZHANYBAI T.","family":"ZHUSUBALIYEV","sequence":"first","affiliation":[{"name":"Department of Computer Science, South West State University, 50 Years of October Str., 94, Kursk 305040, Russia"}]},{"given":"ERIK","family":"MOSEKILDE","sequence":"additional","affiliation":[{"name":"Department of Physics, The Technical University of Denmark, 2800 Lyngby, Denmark"}]},{"given":"OLGA O.","family":"YANOCHKINA","sequence":"additional","affiliation":[{"name":"Department of Computer Science, South West State University, 50 Years of October Str., 94, Kursk 305040, Russia"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.59.4052"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1109\/9780470545393"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1142\/3982"},{"key":"rf4","volume-title":"Nonsmooth Mechanics \u2014 Models, Dynamics and Control","author":"Brogliato B.","year":"1999"},{"key":"rf5","first-page":"1881","volume":"10","author":"di Bernardo M.","journal-title":"Chaos Solit. 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