Generating hyperchaotic multi-wing attractor in a 4D memristive circuit

It is very important to generate hyperchaotic attractor with more complicated dynamics for theoretical research and practical application. The paper proposes a novel method to generate hyperchaotic multi-wing attractor. By replacing the resistor in the circuit of modified Lü system with flux-controlled memristor respectively, this new memristive system can exhibit a hyperchaotic multi-wing attractor, and the values of two positive Lyapunov exponents are relatively large. The dynamical behaviors of the proposed system are analyzed by phase portrait, Lyapunov exponents, Poincaré maps, and bifurcation diagram. Moreover, the influences of memristor’s strength and position of replaced resistor are analyzed. To further probe the inherent features of the new memristive hyperchaotic system, the circuit implementation is carried out. The proposed method can be easily extended to the generalized Lorenz system family.