A new 4D hyperchaotic system with high complexity

Abstract In chaos engineering, especially for chaos-based communication, chaotic systems require high complex, strong robustness and well-distributed bandwidth. In this paper, we present a new four-dimensional (4D) hyperchaotic system, which satisfies these three significant properties at the same time. Instead of traditional evaluation method of the positive Lyapunov exponents, the complexity of the system is measured by the topological entropy. We find out that it has much larger topological entropy and Kaplan–Yorke dimension compared with the systems reported before, therefore it may have better engineering application value.