A jerk chaotic system with bistable locally active memristor and its analysis of multi-scroll formation mechanism

In this paper, a novel bistable locally active memristor is designed, which has the characteristics of low cost, easy implementation and simple structure. The locally active property and non-volatility of memristor are verified using DC V-I plot and the power-off plot (POP), respectively. And the simulation of memristor is realized with electronic components. Using the proposed memristor, a new memristive jerk chaotic system is constructed. The equilibrium points of the system and the conditions of Hopf bifurcation are analyzed, and four-scroll attractor is generated under specific parameters, and the mechanism of scroll generation is explained in detail. The extreme multistability possessed by this system is discovered and analyzed, and demonstrated in local basin of attraction. The new memristive jerk system is realized by circuit simulation, and it is found that the experimental results of the circuit are in good agreement with the numerical simulation results.