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Moreover, the direction of Hopf bifurcation and stability of the bifurcation periodic solutions are determined by using the normal form theory and center manifold theorem. In addition, the study shows that the controlled model exhibits period-doubling bifurcations which lead eventually to chaos; and the chaos can also directly occur via the bifurcations from the quasi-periodic solutions. The results show that the delayed feedback is an effective approach in order to generate or annihilate complex behaviors in practical applications. <\/jats:p>","DOI":"10.1142\/s021812740601677x","type":"journal-article","created":{"date-parts":[[2007,2,28]],"date-time":"2007-02-28T08:27:39Z","timestamp":1172651259000},"page":"3257-3273","source":"Crossref","is-referenced-by-count":18,"title":["DYNAMICS OF A TWO-DIMENSIONAL DELAYED SMALL-WORLD NETWORK UNDER DELAYED FEEDBACK CONTROL"],"prefix":"10.1142","volume":"16","author":[{"given":"XU","family":"XU","sequence":"first","affiliation":[{"name":"College of Mathematics, Jilin University, 10 Qian Wei Road, Changchun 130012, P. R. China"},{"name":"Institute of Vibration Engineering Research, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. 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