{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,15]],"date-time":"2026-04-15T08:36:05Z","timestamp":1776242165202,"version":"3.50.1"},"reference-count":23,"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":[[2012,2]]},"abstract":"<jats:p> A diffusive Brusselator model with delayed feedback control subject to Dirichlet boundary condition is considered. The stability of the unique constant equilibrium and the existence of a family of inhomogeneous periodic solutions are investigated in detail, exhibiting rich spatiotemporal patterns. Moreover, it shows that Turing instability occurs without delay. And under certain conditions, the constant equilibrium switches finite times from stability to instability to stability, and becomes unstable eventually, as the delay crosses through some critical values. Then, the direction and the stability of Hopf bifurcations are determined by the normal form theory and the center manifold reduction for partial functional differential equations. Finally, some numerical simulations are carried out for illustrating the analysis results. <\/jats:p>","DOI":"10.1142\/s021812741250037x","type":"journal-article","created":{"date-parts":[[2012,2,20]],"date-time":"2012-02-20T20:38:43Z","timestamp":1329770323000},"page":"1250037","source":"Crossref","is-referenced-by-count":18,"title":["STABILITY AND BIFURCATION ANALYSIS IN A DIFFUSIVE BRUSSELATOR SYSTEM WITH DELAYED FEEDBACK CONTROL"],"prefix":"10.1142","volume":"22","author":[{"given":"WENJIE","family":"ZUO","sequence":"first","affiliation":[{"name":"Department of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang 150001, P. R. China"},{"name":"Department of Mathematics, China University of Petroleum (East China), Qingdao 266555, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"JUNJIE","family":"WEI","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang 150001, P. R. 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