Delayed feedback control and bifurcation analysis of Rossler chaotic system

摘要: In this paper, from the view of stability and chaos control, we investigate Rossler chaotic system with delayed feedback. At first, consider one fixed points, verifying that Hopf bifurcation occurs as delay crosses some critical values. Then, for determining direction derive explicit formulae by using normal-form theory center manifold theorem. By designing appropriate feedback strength delay, unstable equilibria can be controlled to stable, or stable bifurcating periodic solutions occur at neighborhood equilibrium. Finally, numerical simulations are carried out support analytic results.