A Single Input Algorithm for Transmission Synchronization of Multiple Memristor Chaotic Systems

Chaos is a very complex phenomenon in deterministic nonlinear systems. In the development of just a few decades, the concept of chaos has been extended to the fields of natural and social sciences. With the deepening of chaos research, people begin to study how to simply control chaos. The theory of chaotic synchronization and control makes people realize that chaotic system has complex dynamic characteristics and can be applied in practice. In this work, we focus on the transmission synchronization of multiple memristor systems via a single input method. First, a chaotic system based on memristor is presented to show the internal chaotic behavior. Then, by using Routh-Hurwitz criterion, a sufficient condition is established to guarantee asymptotic synchronization of state trajectories of multiple memristor chaos. Finally, the numerical results reveal that the single input algorithm designed in this work is valid for transmission chaotic synchronization of multiple memristor chaotic systems.