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基于STM32的新型超混沌系统的动态分析和图像加密中的应用
XueFeng Cheng1, Hongmei Zhu1, Lian Liu1
1School of Big Data and Information Industry, Chongqing City Management College, Chongqing, 401331, China.
Scientific reports
|September 3, 2024
概括
一个基于洛伦茨系统的新型4D超混沌系统,表现出复杂的动态,并通过NIST测试来实现安全的图像加密. 这种新的系统为各种数据类型提供了强大的安全性.
科学领域:
- 混沌理论和复杂系统动力学.
- 密码学和信息安全.
- 应用数学和计算建模.
背景情况:
- 在安全通信中需要先进的混乱系统.
- 现有的混沌模型在复杂性和安全性方面的局限性.
- 超混沌系统对于增强密码应用的意义.
研究的目的:
- 引入一个具有单个平衡点的新的4D超混沌系统.
- 分析系统的动态特性并验证其行为.
- 开发和评估一个新的图像加密算法,基于拟议的超混沌系统.
主要方法:
- 修改3D洛伦兹混乱系统以创建一个4D超混乱系统.
- 数学分析系统的平衡点和稳定性.
- 使用MATLAB进行数值模拟来研究利亚普诺夫指数,分叉和吸引子.
- 使用STM32嵌入式硬件进行实验验证.
- 图像加密的应用与严格的安全测试 (NIST SP800-22,钥匙空间,等) ) 的情况.
主要成果:
- 4D超混沌系统展示了复杂的动态,通过超混沌,混乱,周期性和准周期性状态的过渡.
- 实验验证证证实了该系统产生各种混乱吸引力的能力.
- 生成的超混沌密钥序列成功通过了15个NIST SP800-22测试.
- 拟议的图像加密算法具有高度的安全性,稳定性和有效性.
结论:
- 这种新的4D超混沌系统为生成复杂动态提供了一个丰富的平台.
- 开发的图像加密方法提供了安全可靠的解决方案.
- 该系统的多功能性允许在各种安全领域的潜在应用,如物联网和医疗数据保护.
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