{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T10:16:04Z","timestamp":1773656164879,"version":"3.50.1"},"reference-count":17,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2000,2]]},"abstract":"<jats:p> This paper is concerned with the study of nonlinear phenomena in a closed loop voltage-controlled DC\u2013DC Buck\u2013Boost converter when suitable parameters are varied. The dynamics is analyzed using both the continuous-time model and the numerically computed stroboscopic map. The analysis of the one-dimensional bifurcation diagram shows that Neimarck\u2013Sacker bifurcation occurs at certain values of the parameters. Phase-locking periodic windows, the period-adding sequence, and transition from quasiperiodicity to period-doubling via torus breakdown are also obtained. The two-dimensional bifurcation diagram is carefully computed. This shows that phase-locking orbits produce so-called Arnold tongues in the parameter space. It is shown that the winding number plotted as a function of the bifurcation parameter is a devil's staircase. As typically occurs in general circle maps, the fine structures of the Arnold tongues and the devil's staircase show self-similarity. <\/jats:p>","DOI":"10.1142\/s0218127400000232","type":"journal-article","created":{"date-parts":[[2002,7,27]],"date-time":"2002-07-27T11:04:45Z","timestamp":1027767885000},"page":"359-371","source":"Crossref","is-referenced-by-count":61,"title":["QUASIPERIODICITY AND CHAOS IN THE DC\u2013DC BUCK\u2013BOOST CONVERTER"],"prefix":"10.1142","volume":"10","author":[{"given":"ABDELALI","family":"EL AROUDI","sequence":"first","affiliation":[{"name":"Departament de F\u00edsica Aplicada,  Universitat Polit\u00e8cnica de Catalunya UPC, Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"LUIS","family":"BENADERO","sequence":"additional","affiliation":[{"name":"Departament de F\u00edsica Aplicada,  Universitat Polit\u00e8cnica de Catalunya UPC, Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ELIEZER","family":"TORIBIO","sequence":"additional","affiliation":[{"name":"Departament de F\u00edsica Aplicada,  Universitat Polit\u00e8cnica de Catalunya UPC, Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"SALOUA","family":"MACHICHE","sequence":"additional","affiliation":[{"name":"Departament de F\u00edsica Aplicada,  Universitat Polit\u00e8cnica de Catalunya UPC, Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,5,2]]},"reference":[{"key":"p_2","author":"Banerjee S.","year":"1997","journal-title":"IEEE Trans. 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