More and more attention has been focused on effectively generating chaos via simple physical devices.The problem of creating chaotic attractors is considered for a class of nonlinear systems with backlash function in this paper.By utilizing the Silnikov heteroclinic and homoclinic theorems,some sufficient conditions are established to guarantee that the nonlinear system has horseshoe-type chaos.Examples and simulations are given to verify the effectiveness of the theoretical results.
We propose an impulsive hybrid control method to control the period-doubling bifurcations and stabilize unstable periodic orbits embedded in a chaotic attractor of a small-world network. Simulation results show that the bifurcations can be delayed or completely eliminated. A periodic orbit of the system can be controlled to any desired periodic orbit by using this method.
