Coexisting behaviors of chaotic system with tri-stable locally active memristor and its application in color image encryption

In this paper, we proposed a novel tri-stable nonvolatile locally active memristor and analyzed its nonvolatile and locally active characteristics. The phenomenon of edge of chaos in a certain voltage range is found. When the memristor is applied in a simple series circuit with an inductor and a DC power, we can observe Hopf bifurcation and periodic oscillation in the edge region of chaos. When the proposed locally active memristor is applied to the simplest chaotic circuit, some double coexisting phenomena can be observed from coexisting attractors and attraction basin. Furthermore, a color image encryption scheme based on DNA coding is proposed using the proposed memristive chaotic system, and the security of the scheme is evaluated by statistical analysis and different attacks. Finally, the proposed memristive chaotic system is implemented based on ARM platform; at the same time, a color image encryption scheme on DNA encoding and chaotic sequence is implemented in ARM platform. The experimental results are in good agreement with the numerical simulation.