Analysis, circuit implementation and synchronization of a new chaotic system

In this paper, a new chaotic system is proposed, which is a modified Sprott system by substituting absolute term with square term. For this new chaotic model, the dynamic properties including sensitivity to the initial value, Poincaré diagrams, Lyapunov exponent spectrum and bifurcation diagram are investigated, respectively. Moreover, the circuit of this system also is designed and realized via Multisim software. Finally, the synchronization is derived by only introducing a control term in the response system based on Lyapunov function method.