一个新的离散记忆式超混沌地图,具有多层分化,多幅度调制和多偏移提升.
Xinyan Wang1, Yuqi Wei1, Xu Sun1
1School of Electronic Engineering, Heilongjiang University, Harbin 150080, China.
Chaos (Woodbury, N.Y.)
|November 20, 2024
概括
一个新的三维离散记忆式超混乱地图 (3D-DMCHM) 增强了混乱地图的复杂性和可控性. 这种基于memristor的系统在安全通信和随机数生成方面显示出有前途的应用.
科学领域:
- 非线性动力学和混沌理论
- 记忆器应用程序 应用程序
- 安全的通信系统安全的通信系统
背景情况:
- 记忆器可以增强混乱的地图,提高复杂性和可控性.
- 混乱地图对于安全的通信和随机数生成至关重要.
- 带有memristor的离散混乱地图提供了先进的功能.
研究的目的:
- 构建和分析一个新的三维离散记忆式超混沌地图 (3D-DMCHM).
- 研究3D-DMCHM复杂的动态行为和独特的现象.
- 为了确认地图的复杂性和实际应用的硬件可行性.
主要方法:
- 使用共弦记忆器构建一个3D-DMCHM.
- 分析固定点,稳定性,相位图,分叉图和利亚普诺夫指数.
- 吸引器盆地的调查,时间图和复杂性测试.
主要成果:
- 3D-DMCHM表现出复杂的动态,通过周期双重分叉进入混乱.
- 观察到的现象包括多层分化,多幅度控制和偏移增强.
- 发现了与隐藏的混乱吸引子或共存的吸引子具有独特的偏移行为.
- 复杂性测试和数字信号处理电路的实现证实了高复杂性和硬件可行性.
结论:
- 开发的3D-DMCHM显示出显著的复杂性和可控性.
- 地图展示了独特的动态行为和现象.
- 硬件实现证实了3D-DMCHM用于安全通信和随机数生成的实际可行性.
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