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Numerical simulations not only confirm the theoretical analysis results but also illustrate some complex oscillations such as a cascade of period-doubling bifurcation, quasi-periodic solution, and period-doubling route to chaos. All these results improve the understanding of the dynamics of the model. <\/jats:p>","DOI":"10.1142\/s0218127415500935","type":"journal-article","created":{"date-parts":[[2015,6,17]],"date-time":"2015-06-17T02:48:21Z","timestamp":1434509301000},"page":"1550093","source":"Crossref","is-referenced-by-count":2,"title":["Bifurcation Analysis of a Belousov\u2013Zhabotinsky Reaction Model"],"prefix":"10.1142","volume":"25","author":[{"given":"Xiaoli","family":"Wang","sequence":"first","affiliation":[{"name":"Department of Mathematics, Beijing University of Chemical Technology, 15 Beisanhuan East Road, Chaoyang District, Beijing 100029, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yu","family":"Chang","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Beijing University of Chemical Technology, 15 Beisanhuan East Road, Chaoyang District, Beijing 100029, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dashun","family":"Xu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Southern Illinois University, Carbondale, IL 62901, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2015,6,16]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/s11431-010-0082-8"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127407017823"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1063\/1.3168400"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1021\/j100170a041"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1021\/j100161a038"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1038\/355808a0"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1142\/S021812741450031X"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2002.802348"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(86)90007-2"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1007\/BF02062537"},{"key":"rf12","first-page":"1173","volume":"60","author":"Li Y. 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