{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,23]],"date-time":"2026-03-23T10:48:57Z","timestamp":1774262937484,"version":"3.50.1"},"reference-count":22,"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":[[2009,11]]},"abstract":"<jats:p> In this paper, we are concerned with the Rose\u2013Hindmarsh model with time delay. By applying the generalized Sturm criterion, a number of imaginary roots of the characteristic equation are classified. The absolutely stable regions for any value of time delay are detected. By the continuous software DDE-Biftool, both the Hopf bifurcation curves and double Hopf bifurcation points are illustrated in parametric spaces. The normal form and universal unfolding at double Hopf bifurcation points are considered by the center manifold method. Some examples also indicate that the corresponding unique attractor near each double Hopf point is asymptotically stable. <\/jats:p>","DOI":"10.1142\/s0218127409025080","type":"journal-article","created":{"date-parts":[[2010,2,24]],"date-time":"2010-02-24T01:07:55Z","timestamp":1266973675000},"page":"3733-3751","source":"Crossref","is-referenced-by-count":22,"title":["DYNAMICS AND DOUBLE HOPF BIFURCATIONS OF THE ROSE\u2013HINDMARSH MODEL WITH TIME DELAY"],"prefix":"10.1142","volume":"19","author":[{"given":"SUQI","family":"MA","sequence":"first","affiliation":[{"name":"Department of Mathematics, Chinese Agricultural University, Beijing 100083, P. R. 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