Yuan Fang, Deng Yue, Li Yuxia, Chen Guanrong
College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China.
Department of Electronic Engineering, City University of Hong Kong, Hong Kong 999077, China.
Chaos. 2019 May;29(5):053120. doi: 10.1063/1.5094936.
The randomness of chaos comes from its sensitivity to initial conditions, which can be used for cryptosystems and secure communications. The Lyapunov exponent is a typical measure of this sensitivity. In this paper, for a given discrete chaotic system, a cascading method is presented for constructing a new discrete chaotic system, which can significantly enlarge the maximum Lyapunov exponent and improve the complex dynamic characteristics. Conditions are derived to ensure the cascading system is chaotic. The simulation results demonstrate that proper cascading can significantly enlarge the system parameter space and extend the full mapping range of chaos. These new features have good potential for better secure communications and cryptography.
混沌的随机性源于其对初始条件的敏感性，这可用于密码系统和安全通信。李雅普诺夫指数是这种敏感性的一种典型度量。本文针对给定的离散混沌系统，提出了一种级联方法来构造一个新的离散混沌系统，该方法能够显著增大最大李雅普诺夫指数并改善复杂的动态特性。推导了确保级联系统为混沌的条件。仿真结果表明，适当的级联可显著扩大系统参数空间并扩展混沌的全映射范围。这些新特性在实现更好的安全通信和密码学方面具有良好的潜力。
