Control of period-doubling bifurcation and chaos in a discrete nonlinear system by the feedback of states and parameter adjustment

In this paper, the control of delaying period-doubling bifurcations and unstable periodic orbits embedded in a chaotic attractor of a discrete nonlinear dynamical system is effectively realized by using the state variables feedback and parameter variation. Moreover, the 2n periodic orbits of the system can be controlled into the 2m (m<n) periodic orbits by the methods proposed.