Feedback Control and Synchronization of Chaos for the Coupled Dynamos Dynamical System

Abstract

In \u00a0this \u00a0paper, \u00a0by \u00a0the \u00a0simple \u00a0linear \u00a0controller, \u00a0the \u00a0coupled \u00a0dynamos \u00a0dynamical \u00a0system \u00a0can \u00a0be controlled to a stable periodic orbit and a stable fixed point. Meanwhile, the stability of the period orbit and fixed point is proved by the values of Lyapunov exponent. Furthermore, by the nonlinear feedback controller, the efficient complete Synchronization of the coupled dynamos dynamical system is completed. Numerical simulation \u00a0results \u00a0show \u00a0the \u00a0effectiveness \u00a0and \u00a0feasibility \u00a0of \u00a0the \u00a0simple \u00a0linear \u00a0controller \u00a0and \u00a0nonlinear controller. \u00a0