Generation of grid multi-scroll chaotic attractors via hyperbolic tangent function series

A chaotic model for generating multi-directional multi-scroll attractors via hyperbolic tangent function series is proposed in this paper. The dynamical mechanisms of this chaotic model are further investigated, including M-scroll, M×N-grid scroll, M×N×L-grid scroll chaotic attractors. Moreover, the dynamical behaviors of this system are theoretically analyzed and numerically simulated, such as equilibria and their stability, Lyapunov exponents and bifurcation diagrams. This system can be widely used in data encryption and secure communication.