Analysis, circuit implementation and active control synchronization of a new 4D chaotic system with two quadratic nonlinearities

In this paper a new four-dimensional chaotic system, with two quadratic, one cubic and one quartic nonlinearities is proposed. Basic dynamical characteristics of this new system are studied such as equilibrium points, Kaplan-York dimension, Lyapunov exponents spectrum and bifurcation diagrams by using either theoretical analysis or numerical methods. Then, an electronic circuit is implemented which validates the theoretical chaotic model of the proposed system. Finally, an active control synchronization is applied by considering two identical novel 4D systems.