Linear Feedback Synchronization Used in the Three-Dimensional Duffing System

Abstract EN

It has been realized that synchronization using linear feedback control method is efficient compared to nonlinear feedback control method due to the less computational complexity and the synchronization error.

For the problem of feedback synchronization of Duffing chaotic system, in the paper, we firstly established three-dimensional Duffing system by method of variable decomposition and, then, studied the synchronization of Duffing chaotic system and designed the control law based on linear feedback control and Lyapunov stability theory.

It is proved theoretically that the two identical integer order chaotic systems are synchronized analytically and numerically.