{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,15]],"date-time":"2024-09-15T22:26:44Z","timestamp":1726439204333},"reference-count":11,"publisher":"World Scientific Pub Co Pte Ltd","issue":"10","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2005,10]]},"abstract":"<jats:p> In this letter, chaos in a current-mode controlled boost converter is studied. Firstly, the existence of chaos is proven theoretically in this system. The proof consists of showing that the dynamics of the system is semiconjugate to that of a one-sided shift map, which implies positive entropy of the system and hence chaotic behavior. The essential tool is the horseshoe hypotheses proposed by Kennedy and Yorke, which will be reviewed prior to the discussion of the main finding. Then, the existence of chaos is illustrated in the light of homoclinic connection. Furthermore, global chaos resulting from homoclinic intersection of stable and unstable manifolds are illustrated numerically. <\/jats:p>","DOI":"10.1142\/s0218127405013939","type":"journal-article","created":{"date-parts":[[2005,12,22]],"date-time":"2005-12-22T10:26:18Z","timestamp":1135247178000},"page":"3337-3344","source":"Crossref","is-referenced-by-count":4,"title":["EXISTENCE OF HORSESHOES AND HOMOCLINIC CONNECTIONS IN DC\/DC CONVERTERS"],"prefix":"10.1142","volume":"15","author":[{"given":"DONG","family":"DAI","sequence":"first","affiliation":[{"name":"Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hunghom, Hong Kong, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"YUE","family":"MA","sequence":"additional","affiliation":[{"name":"Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hunghom, Hong Kong, China"},{"name":"Department of Electrical and Electronic Engineering, University of Tokushima, Tokushima 770-8506, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"CHI K.","family":"TSE","sequence":"additional","affiliation":[{"name":"Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hunghom, Hong Kong, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"volume-title":"Nonlinear Phenomena in Power Electronics","year":"2000","author":"Banerjee S.","key":"rf1"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1109\/81.645154"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1109\/81.168922"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-01-02586-7"},{"key":"rf5","first-page":"1095","volume":"12","author":"Olivar G.","journal-title":"Nonlinearity"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511803260"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1967-11798-1"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1109\/JPROC.2002.1015006"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1201\/9780203494554"},{"volume-title":"Introduction to Applied Nonlinear Dynamical Systems and Chaos","year":"2003","author":"Wiggins S.","key":"rf11"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127404010060"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127405013939","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:09:11Z","timestamp":1565136551000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127405013939"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,10]]},"references-count":11,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2005,10]]}},"alternative-id":["10.1142\/S0218127405013939"],"URL":"https:\/\/doi.org\/10.1142\/s0218127405013939","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"type":"print","value":"0218-1274"},{"type":"electronic","value":"1793-6551"}],"subject":[],"published":{"date-parts":[[2005,10]]}}}