A new M × N-grid double-scroll chaotic attractors from Rucklidge chaotic system

A new method for generating M × N-grid double-scroll Rucklidge chaotic attractors is presented. By designing arctangent function series to construct a nonlinear function, which replace the state variables x, y of the Rucklidge system, a new M × N-grid double-scroll chaotic system is created. The formation mechanism of this M × N-grid double-scroll chaotic model is further investigated. Moreover, some basic properties are theoretically analyzed and numerically simulated, including equilibria and their stability, Lyapunov exponents and bifurcation diagram. This system can be widely utilized in secure communication and data encryption.