{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,1]],"date-time":"2026-06-01T21:03:16Z","timestamp":1780347796600,"version":"3.54.1"},"reference-count":27,"publisher":"World Scientific Pub Co Pte Lt","issue":"11","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2010,11]]},"abstract":"<jats:p> In this paper, different discrete-time models in the form of maps are proposed and analyzed in order to describe the dynamics of single inductor multiple-input multiple-output (SIMIMO) switching DC\u2013DC converters. These systems can be used to regulate generally multiple (positive and\/or negative) outputs by means of individual switches associated to each of the outputs. These switches are current mode controlled through corresponding channels. The discrete-time approach allows the dynamical behavior of these systems to be accurately predicted as well as to detect possible subharmonic oscillations and chaotic behavior. Under certain operating conditions, for which the system can be modeled by a one-dimensional piecewise constant vector field, a simple one-dimensional and piecewise-linear (PWL) map can be obtained. Some closed form expressions for ensuring stability are derived from this map in terms of a stability index \u03bb, which is, in turn, expressed in terms of system parameters. However, some discrepancies have been found between the switched model and this simpler map, and therefore a full order model is derived to obtain more accurate information about the actual dynamical behavior of these converters. The theoretical results are confirmed by one-dimensional bifurcation diagrams and codimension 1 two-parameter bifurcation curves obtained by standard continuation methods applied to the derived discrete-time models as well as from computer simulations from the switched model. <\/jats:p>","DOI":"10.1142\/s0218127410028021","type":"journal-article","created":{"date-parts":[[2010,12,9]],"date-time":"2010-12-09T03:41:40Z","timestamp":1291866100000},"page":"3841-3861","source":"Crossref","is-referenced-by-count":3,"title":["MODELING AND BIFURCATION BEHAVIOR OF MULTI-PHASE SIMIMO DC\u2013DC SWITCHING REGULATORS"],"prefix":"10.1142","volume":"20","author":[{"given":"V.","family":"MORENO-FONT","sequence":"first","affiliation":[{"name":"Universitat Polit\u00e8cnica de Catalunya, Departament de F\u00edsica Aplicada, Barcelona, Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"A.","family":"EL AROUDI","sequence":"additional","affiliation":[{"name":"Universitat Rovira i Virgili, Departament d'Enginyeria Electr\u00f2nica, El\u00e8ctrica i Autom\u00e0tica, Tarragona, Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"L.","family":"BENADERO","sequence":"additional","affiliation":[{"name":"Universitat Polit\u00e8cnica de Catalunya, Departament de F\u00edsica Aplicada, Barcelona, Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.80.3049"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1109\/63.662832"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1109\/9780470545393"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1137\/080741434"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1109\/81.168922"},{"key":"rf9","first-page":"556","volume":"10","author":"D\u00e9nes I.","journal-title":"Electromotion"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1109\/81.661675"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1109\/81.828567"},{"key":"rf12","volume-title":"Piecewise-Smooth Dynamical Systems: Theory and Applications","author":"di Bernardo M.","year":"2008"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127400000232"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127405012946"},{"key":"rf15","first-page":"19","author":"El Aroudi A.","journal-title":"Mathematical Problems in Engineering"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1007\/b100747"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1109\/81.481457"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2002.807189"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1109\/31.1858"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1109\/81.904890"},{"key":"rf22","first-page":"448","volume":"90","author":"Kabe T.","journal-title":"IEICE Trans. Funda. Electron. Commun. Comput. Sci. E"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1007\/BF01270937"},{"key":"rf26","first-page":"1007","volume":"38","author":"Ma D.","journal-title":"IEEE J. Solid-State Circuits"},{"key":"rf27","first-page":"89","volume":"38","author":"Ma D.","journal-title":"IEEE J. Solid-State Circuits"},{"key":"rf29","doi-asserted-by":"publisher","DOI":"10.1109\/TAES.2006.1603405"},{"key":"rf30","volume-title":"Power Electronics: Converters, Applications and Design","author":"Mohan N.","year":"2003"},{"key":"rf32","doi-asserted-by":"publisher","DOI":"10.1016\/j.matcom.2006.02.022"},{"key":"rf36","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2008.921234"},{"key":"rf37","doi-asserted-by":"publisher","DOI":"10.1109\/JPROC.2002.1015006"},{"key":"rf38","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2005.850942"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127410028021","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T19:55:54Z","timestamp":1565121354000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127410028021"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,11]]},"references-count":27,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2010,11]]}},"alternative-id":["10.1142\/S0218127410028021"],"URL":"https:\/\/doi.org\/10.1142\/s0218127410028021","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,11]]}}}