College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China.
Key Laboratory of RF Circuits and Systems, Ministry of Education of China; Institute of Modern, Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, China.
Chaos. 2021 Feb;31(2):021102. doi: 10.1063/5.0041518.
This paper proposes a universal method for a cascade chaotic system (CCS). CCSs may own better performances, including larger maximum Lyapunov exponents, extended full mapping range of chaos, and more coefficient variations. The chaos-cascade theorems had been proposed in our previous papers, which are more suitable for discrete chaotic systems with the same domain. In this paper, we further improve a universal method to normalize arbitrary discrete chaotic systems for constructing a series of CCSs. Besides, the inheritance and enhancement of robustness from the subsystem are first explored for CCSs. Finally, the designed CCS is implemented on field programmable gate array board. The generated chaotic sequences are obtained by an oscilloscope and tested by NIST software.
本文提出了级联混沌系统 (CCS) 的通用方法。CCS 可能具有更好的性能，包括更大的最大 Lyapunov 指数、扩展的混沌全映射范围和更多的系数变化。混沌级联定理在我们之前的论文中已经提出，它们更适合同一域的离散混沌系统。在本文中，我们进一步改进了一种通用方法，以归一化任意离散混沌系统，从而构建一系列 CCS。此外，首次探索了 CCS 从子系统继承和增强鲁棒性的问题。最后，在现场可编程门阵列板上实现了设计的 CCS。通过示波器获得生成的混沌序列，并通过 NIST 软件进行测试。
