In this paper, a new method for generating multi-scroll chaotic attractors via constructing a compound hyperbolic tangent-cubic nonlinear function in canonical Chua’s circuit is presented. The basic dynamic characteristics of the system are analyzed, including equilibrium points, bifurcation diagrams, Lyapunov exponents, phase portraits, time-domain diagrams and attractive basins. What is surprising is that the proposed multi-scroll Chua’s circuit also exhibits rich dynamic behaviors like coexisting multiple attractors, transient period, intermittent chaos and offset boosting. In addition, we put forward the application of the system in chaotic image encryption, and analyzed some security performance evaluation indexes to show that the new Chua’s chaotic cipher system has high security and reliable encryption performance. Finally, the hardware design and experiments of the chaotic digital circuits and image encryption are carried out. Both numerical simulation and FPGA experimental results verify the feasibility and usability of the proposed new multi-scroll Chua’s system.

在本文中，提出了一种通过在典型蔡氏电路中构造复合双曲正切-三次非线性函数来生成多滚动混沌吸引子的新方法。分析了系统的基本动态特性，包括平衡点、分岔图、Lyapunov指数、相图、时域图和吸引力盆地。令人惊讶的是，所提出的多滚动蔡氏电路还表现出丰富的动态行为，如多个吸引子共存、瞬态周期、间歇性混沌和偏移增强。此外，我们提出了该系统在混沌图像加密中的应用，并分析了一些安全性能评价指标，表明新蔡氏混沌密码系统具有较高的安全性和可靠的加密性能。最后，进行了混沌数字电路和图像加密的硬件设计和实验。数值模拟和 FPGA 实验结果都验证了所提出的新型多卷轴蔡氏系统的可行性和可用性。