Constructing Discrete Chaotic Systems with Positive Lyapunov Exponents
Constructing Discrete Chaotic Systems with Positive Lyapunov Exponents
复制标题
构造具有正 Lyapunov 指数的离散混沌系统
DOI：
10.1142/s0218127418500840
复制
发表时间：
2018-06-30
影响因子：
2.2
通讯作者：
Ding, Qun
中科院分区：
文献类型：
--
作者：
Wang, Chuanfu;Fan, Chunlei;Ding, Qun
混沌系统广泛应用于混沌密码系统和混沌保密通信中。本文针对混沌密码系统和混沌保密通信中超混沌系统的需要，提出了一种具有任意期望数Lyapunov正指数的离散混沌系统的通用设计方法，并给出了三个具有混沌吸引子的八维离散系统的实例。给出了具有不动点吸引子的八维离散系统和具有周期吸引子的八维离散系统，说明了所提方法如何控制Lyapunov指数。与以往的方法相比，利用正Lyapunov指数重构了一个超混沌系统。
The chaotic system is widely used in chaotic cryptosystem and chaotic secure communication. In this paper, a universal method for designing the discrete chaotic system with any desired number of positive Lyapunov exponents is proposed to meet the needs of hyperchaotic systems in chaotic cryptosystem and chaotic secure communication, and three examples of eight-dimensional discrete system with chaotic attractors, eight-dimensional discrete system with fixed point attractors and eight-dimensional discrete system with periodic attractors are given to illustrate how the proposed methods control the Lyapunov exponents. Compared to the previous methods, the positive Lyapunov exponents are used to reconstruct a hyperchaotic system.