A 4-D four-wing chaotic system with widely chaotic regions and multiple transient transitions

Abstract

In the paper, a novel four-wing chaotic system was constructed based on a Lorenz-like system. The novel chaotic system had rich dynamic characteristics such as four-wing attractors, widely chaotic regions, high SE complexity, and multiple transient transitions. Meanwhile, the weak chaotic attractors with single-wing and double-wing can be observed through changing the system parameters. NIST tests showed that the system had high complexity, which will have a good application value in secure communication and cryptography. In addition, a corresponding hardware analog circuit was designed based on the novel chaotic system with operational amplifiers and multipliers. The experimental results were agreed with the theoretical analysis, which verified that the novel chaotic system was practical feasibility.