A new method to synchronize memory chaos in random initial-time master–response real order systems

Abstract

We address a framework when real orders associated with two given systems are completely different and initial-time placed on a real number line irrespective of identical or different systems, the synchronization of memory chaos between such systems is shown by means of a new method. This problem may seem very obscure but to the best of our knowledge, no results have been discussed in the literature about such a problem. A mathematical result dealing with nonlinear control strategy has been put forward and several sufficient criteria are deduced. We demonstrate the proposed method and show synchronization of memory chaos between random initial-time real-order Sprott-A and Wang–Chen systems when associated different orders including simulations.

Keywords

• Random initial time
• Memory chaos
• Real-order system
• Synchronization
• Nonlinear control