13 / 2015-10-05 12:46:01

Anti-control of Hopf Bifurcation in Derivative Lorenz Chaotic System Based on Washout-filter

The derivative Lorenz chaotic system was studied in detail. More precisely, we study the stability of the equilibrium points and the existence of Hopf bifurcation by center manifold theorem and normal form theory. Besides, we propose nonlinear control scheme to the system and the controlled system can exhibit codimension one Hopf bifurcations. Finally, numerical simulation is given to illustrate the theoretical analysis.