“…The synchronization of complex dynamic chaotic systems can not only reveal many natural phenomena, but also has many applications in image processing, security communication, and mechanical engineering (see [ 1 , 2 , 3 , 4 , 5 ]). Many different synchronization modes have been well-studied, such as combination synchronization, phase synchronization, projection synchronization, and lag synchronization, and many important results have been obtained (see [ 6 , 7 , 8 , 9 , 10 , 11 ]). A chaotic system with time-delay is better for describing a real physical process than a chaotic system without time-delay.…”