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Then, we define some conditions, involving both system definition and control law design, under which the stabilized orbits can be maintained in a neighborhood of an invariant, nondegenerate, closed conic section (i.e. an ellipse or a circle). Finally, an example related to the chaotic circuit of Chua is given.<\/jats:p>","DOI":"10.1142\/s0218127403006650","type":"journal-article","created":{"date-parts":[[2003,3,18]],"date-time":"2003-03-18T16:24:52Z","timestamp":1048004692000},"page":"473-481","source":"Crossref","is-referenced-by-count":2,"title":["ON STABILIZING N-DIMENSIONAL CHAOTIC SYSTEMS"],"prefix":"10.1142","volume":"13","author":[{"given":"LAURENT","family":"LAVAL","sequence":"first","affiliation":[{"name":"Laboratoire de Robotique de Paris, UPMC-UVSQ-CNRS URA 1778, 10-12, av. de l'Europe 78140 Velizy, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"NACER K.","family":"M'SIRDI","sequence":"additional","affiliation":[{"name":"Laboratoire de Robotique de Paris, UPMC-UVSQ-CNRS URA 1778, 10-12, av. de l'Europe 78140 Velizy, France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1142\/9789812798640"},{"key":"rf3","volume-title":"Controlling Chaos and Bifurcations in Engineering Systems","author":"Chen G.","year":"1999"},{"key":"rf4","unstructured":"R. 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