Controlling Chaos in Complex Motor Networks by Environment

With certain connection probability and coupling constants, the motors in complex networks fall into chaotic motion and threaten the secure and stable operation of the drive system. To control the undesirable chaos in complex motor networks, a dynamic control that interacted the complex networks with environment is first presented. The average effect of the environment is modeled by an overdamped oscillator, which is kept alive with feedback from the subunits. Second, the stability of the controlled system is proved by analytical method and the threshold values of parameter conditions for the onset of stability are obtained. Finally, the simulation results show that the proposed control law is effective. Our method has the advantage that involves a single damped dynamical system coupled to all nodes equally and, hence, the design procedure is simple and easy to implement.