从同质性到异质性:在记忆的混乱地图中,可拓重新配置的多腔吸引器
Jin Liu1, Kehui Sun1, Huihai Wang2
1School of Physics, Central South University, Changsha 410083, China.
Chaos (Woodbury, N.Y.)
|October 7, 2025
概括
这项研究引入了一个新的混乱地图,使用离散的memristors来创建异质的多腔吸引器. 这种设计通过增加有效的密钥空间和减少冗余性来提高加密应用程序的安全性.
科学领域:
- 混沌理论是一个混乱理论.
- 非线性动力学是一种非线性动力学.
- 基于记忆电阻的电路
背景情况:
- 同质的多腔吸引器在混乱动力学研究中很常见.
- 由于具有相似的统计特征,同质性限制了加密安全性.
- 离散的memristors为混乱系统设计提供了一种新的方法.
研究的目的:
- 提出一个简洁的混乱地图构建方案,使用离散的memristors.
- 研究同质和异质多腔吸引器的生成.
- 评估信息加密的安全增强潜力.
主要方法:
- 一个离散的基于memristor的混乱地图的数学分析.
- 使用周期性和非周期性记忆函数构建多腔吸引器.
- 吸引子属性,固定点和隐藏吸引子的分析.
主要成果:
- 拟议的地图显示没有固定点,并产生隐藏的吸引力.
- 可以构建均和异质的多稳定性/多腔吸引器.
- 异质结构显著增加可扩展的有效密钥空间,打破周期性冗余.
结论:
- 基于离散的memristor的混乱地图提供了一个灵活的框架,用于生成多种多腔吸引器.
- 不同质的多腔吸引器为信息加密提供了增强的安全性.
- 这项研究扩展了混乱动力学概念,并提供了新的工程应用.
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