FEEDBACK CONTROL OF CHAOS IN THE MODIFIED KDV-BURGERS-KURAMOTO EQUATION VIA A SINGLE TIME-DELAY

In this paper, we investigate the time-delayed feedback control of a novel three-dimensional chaotic system which is found from a class of modified KdV-Burgers-Kuramoto (mKBK) equation. First, the local stability and the occurrence of Hopf bifurcation are studied by introducing a single time-delayed feedback term into the chaotic system. Then, the dynamical properties of bifurcated periodic solutions are investigated by applying the algorithm depending on the normal form theory and center manifold theorem. Finally, numerical simulations are presented to illustrate the effectiveness of the theoretical results.