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The paper develops the stability and amplitude equations for the bifurcated invariant curves of the Neimark\u2013Sacker bifurcation, and then proceeds to apply these relationships in the design of nonlinear feedbacks. The feedback controllers are applied to two examples: the delayed logistic map and a model reference adaptive control system model. <\/jats:p>","DOI":"10.1142\/s0218127403006972","type":"journal-article","created":{"date-parts":[[2003,6,17]],"date-time":"2003-06-17T12:04:14Z","timestamp":1055851454000},"page":"879-893","source":"Crossref","is-referenced-by-count":9,"title":["LOCAL FEEDBACK CONTROL OF THE NEIMARK\u2013SACKER BIFURCATION"],"prefix":"10.1142","volume":"13","author":[{"given":"HASSAN","family":"YAGHOOBI","sequence":"first","affiliation":[{"name":"Department of Electrical and Computer Engineering and the Institute for Systems Research, University of Maryland, College Park, MD 20742, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"EYAD H.","family":"ABED","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering and the Institute for Systems Research, University of Maryland, College Park, MD 20742, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(86)90095-2"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(87)90089-2"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(94)90062-0"},{"key":"rf4","unstructured":"E. 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