一个新的超混沌系统的动力学,电路设计,反控制及其在音频加密中的应用
ShiMing Fu1, XueFeng Cheng2, Juan Liu3,4,5,6
1School of Artificial Intelligence, Chongqing University of Education, Chongqing, 400065, China.
Scientific reports
|November 8, 2023
概括
一个新的4D超混沌系统,来自3D Lü系统,表现出复杂的动态,并使用线性反控制来稳定. 该系统经过实验验证并应用于音频加密,证明了其实际可行性.
科学领域:
- 非线性动力学是一种非线性动力学.
- 混沌理论 混沌理论
- 密码学 密码学 密码学 密码学
背景情况:
- 这项研究建立在3D Lü混乱系统的基础上.
- 与混乱系统相比,超混沌系统提供了更高的复杂性和不可预测性.
- 简化复杂系统有助于分析动态行为.
研究的目的:
- 构建和分析一个具有单个平衡点的新型4D超混沌系统.
- 调查拟议系统的动态特性和稳定性.
- 展示超混沌系统在安全通信中的实际应用,特别是音频加密.
主要方法:
- 从3D Lü系统构建一个4D超混沌系统.
- 动态特征的分析:混乱的吸引子,平衡点的稳定性,利亚普诺夫指数和分叉图.
- 实施线性反控制以实现系统稳定.
- 使用Matlab,Multisim和STM32硬件进行实验验证.
- 使用超混沌密钥和交叉XOR算法的音频加密方案的开发.
主要成果:
- 4D超混沌系统表现出复杂的,非周期性的,分形动态,具有两个正的利亚普诺夫指数.
- 系统的行为对参数变化非常敏感,这证实了它的超混乱性质.
- 线性反控制成功地稳定了系统在其独特的平衡点.
- 来自模拟和硬件的实验结果始终验证了系统的特性.
- 音频加密方案展示了可行性,简单性和非线性复杂性.
结论:
- 拟议的4D超混沌系统是研究复杂动态的一个有价值的工具.
- 该系统的稳定性和可控性支持其实际应用.
- 超混沌系统为适用于音频,图像和视频数据的安全加密算法提供了坚实的基础.
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