Table of Contents
ISRN Mathematical Physics
Volume 2012, Article ID 843962, 12 pages
http://dx.doi.org/10.5402/2012/843962
Research Article

Bifurcation Analysis and Chaos Control in Genesio System with Delayed Feedback

School of Science, Hangzhou Dianzi University, Hangzhou 310018, China

Received 13 September 2011; Accepted 30 October 2011

Academic Editor: P. Minces

Copyright © 2012 Junbiao Guan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We investigate the local Hopf bifurcation in Genesio system with delayed feedback control. We choose the delay as the parameter, and the occurrence of local Hopf bifurcations are verified. By using the normal form theory and the center manifold theorem, we obtain the explicit formulae for determining the stability and direction of bifurcated periodic solutions. Numerical simulations indicate that delayed feedback control plays an effective role in control of chaos.