Bifurcation Analysis and Chaos Control in Genesio System with Delayed Feedback

摘要

We investigate the local Hopf bifurcation in Genesio system with delayedfeedback control. We choose the delay as the parameter, and the occurrence of local Hopfbifurcations 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 bifurcatedperiodic solutions. Numerical simulations indicate that delayed feedback control plays aneffective role in control of chaos.