{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,19]],"date-time":"2026-05-19T17:17:53Z","timestamp":1779211073121,"version":"3.51.4"},"reference-count":13,"publisher":"World Scientific Pub Co Pte Lt","issue":"12","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2014,12]]},"abstract":"<jats:p> In this paper, we study some nonlinear behaviors in a two-dimensional system defined by a Boost Converter controlled by CPWM (Centered Pulse-Width Modulation) and a ZAD (Zero Average Dynamics) strategy. The dynamics was analyzed using a discrete-time map, which consists of a sampled system at each switching cycle. The structure of the two-parametric space is characterized analytically. This allows proving the existence and stability of an infinite number of codimension-one curves that intersect at the same point in the two-parametric space. This phenomenon has been called a big-bang bifurcation. <\/jats:p>","DOI":"10.1142\/s0218127414501508","type":"journal-article","created":{"date-parts":[[2015,1,5]],"date-time":"2015-01-05T06:43:47Z","timestamp":1420440227000},"page":"1450150","source":"Crossref","is-referenced-by-count":9,"title":["Codimension-Two Big-Bang Bifurcation in a ZAD-Controlled Boost DC-DC Converter"],"prefix":"10.1142","volume":"24","author":[{"given":"A.","family":"Amador","sequence":"first","affiliation":[{"name":"Department of Mathematics and Natural Sciences, Pontificia Universidad Javeriana, Sede Cali, Santiago de Cali, Colombia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"Casanova","sequence":"additional","affiliation":[{"name":"Universidad Nacional de Colombia, Sede Manizales, Facultad de Ciencias Exactas y Naturales, Departamento de Matem\u00e1ticas y Estad\u00edstica, ABC Dynamics, Bloque Y, Campus La Nubia, Manizales 170003, Colombia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"H. A.","family":"Granada","sequence":"additional","affiliation":[{"name":"Universidad Nacional de Colombia, Sede Manizales, Facultad de Ciencias Exactas y Naturales, Departamento de Matem\u00e1ticas y Estad\u00edstica, ABC Dynamics, Bloque Y, Campus La Nubia, Manizales 170003, Colombia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"G.","family":"Olivar","sequence":"additional","affiliation":[{"name":"Universidad Nacional de Colombia, Sede Manizales, Facultad de Ingenier\u00eda y Arquitectura, Departamento de Ingenier\u00eda El\u00e9ctrica, Electr\u00f3nica y Computaci\u00f3n, Percepci\u00f3n y Control Inteligente, Bloque Q, Campus La Nubia, Manizales 170003, Colombia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.","family":"Hurtado","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Universidad Aut\u00f3noma de Occidente, Santiago de Cali, Colombia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2015,1,4]]},"reference":[{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/19\/3\/001"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/19\/8\/007"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.75.066205"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1142\/9789812564801"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4471-0557-2"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1109\/81.645154"},{"key":"rf9","volume-title":"Piecewise-Smooth Dynamical Systems, Theory and Applications","author":"di Bernardo M.","year":"2008"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2010.14.961"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-006-9190-1"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1109\/31.1858"},{"key":"rf15","unstructured":"P.\u00a0Kowalczyk and M.\u00a0di Bernardo, Computation and Control Lecture Notes in Computer Science (2001)\u00a0pp. 361\u2013374."},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1201\/9780203494554"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1142\/5313"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127414501508","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T19:48:24Z","timestamp":1565120904000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127414501508"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,12]]},"references-count":13,"journal-issue":{"issue":"12","published-online":{"date-parts":[[2015,1,4]]},"published-print":{"date-parts":[[2014,12]]}},"alternative-id":["10.1142\/S0218127414501508"],"URL":"https:\/\/doi.org\/10.1142\/s0218127414501508","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,12]]}}}