混乱的
伪随机数发生器
指数函数
计算机科学
非线性系统
三角函数
混沌映射
发电机(电路理论)
领域(数学分析)
算法
有界函数
赫农地图
控制理论(社会学)
数学
人工智能
数学分析
功率(物理)
物理
几何学
控制(管理)
量子力学
作者
Yinxing Zhang,Han Bao,Zhongyun Hua,Hejiao Huang
出处
期刊:IEEE Transactions on Industrial Electronics
[Institute of Electrical and Electronics Engineers]
日期:2023-09-01
卷期号:70 (9): 9346-9356
被引量:3
标识
DOI:10.1109/tie.2022.3206747
摘要
Recently, designing hyperchaotic maps with complex dynamics has attracted increasing attention from various research fields. In this article, we propose a 2-D exponential chaotic system (2D-ECS). The 2D-ECS can generate a large number of hyperchaotic maps by cascading exponential nonlinearity with bounded functions. To show the effectiveness of the 2D-ECS, we provide three hyperchaotic maps by cascading the exponential nonlinearity with trigonometric functions. We first build state-mapping networks with different fixed-point arithmetic precisions to analyze the dynamic properties of the hyperchaotic maps in digital domain, and then study their dynamic properties using several numerical measurements. Experimental results show that the generated hyperchaotic maps show better performance indicators than existing chaotic maps. Moreover, a hardware platform is constructed to implement the three hyperchaotic maps generated by the 2D-ECS, and two-channel hyperchaotic sequences are experimentally captured. A pseudorandom number generator is designed to study the potential applications of our proposed hyperchaotic maps. Finally, we apply the generated hyperchaotic maps to secure communication, and experimental results show that these maps exhibit better performance in contrast to existing chaotic maps.
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