Analysis and Realization of New Memristive Chaotic System with Line Equilibria and Coexisting Attractors

Purpose: The construction of memristor-based chaotic system with complex dynamics has been a research hotspot in recent years. This paper proposes a new memristive chaotic system characterized by the abundant coexisting attractors. The new system which is established by inserting a memristor is dissipative, symmetric, chaotic and has two line equilibria. Methods: The evolution of chaos and the existence of coexisting attractors are investigated by using bifurcation diagrams and phase portraits with respect to parameters and initial conditions. Moreover, the system can realize partial amplitude control by adjusting parameters. Results: The new system can produce infinitely many coexisting attractors, including symmetric periodic attractors and chaotic attractors. This shows that the multistability of chaotic systems can be achieved by adding memristors. Conclusion: The analog circuit and hardware circuit are used to illustrate the existence of the proposed system. In addition, a pseudo-random number generator (PRNG) is designed based on this system and its NIST test is given. It can work reliably in the engineering environment.