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从复杂的指数函数推导出异质的多空洞超混沌地图的设计和实现
Zeping Zhang1, Huihai Wang1, Kehui Sun2
1School of Electronic Information, Central South University, Changsha 410083, China.
Chaos (Woodbury, N.Y.)
|March 5, 2026
概括
开发了一种新的复杂指数混沌地图 (CECM) 和异质的多腔超混沌地图 (HMCM),以增加结构复杂性. 动态分析和硬件实现证实了强大的超混沌性能和低资源使用.
科学领域:
- 复杂系统动力学 复杂系统动力学
- 非线性科学 非线性科学
- 混沌理论 混沌理论
背景情况:
- 在多腔混沌地图中增强结构复杂性对于高级应用至关重要.
- 现有的混乱地图往往缺乏足够复杂的复杂性,用于复杂的系统.
研究的目的:
- 为了增加结构复杂性,引入一个新的复杂指数混沌地图 (CECM).
- 通过将CECM与步骤函数集成,开发一个异质的多腔超混沌地图 (HMCM).
- 为了验证拟议地图的超混沌性能和硬件可行性.
主要方法:
- 开发一个新的复杂指数混沌地图 (CECM).
- 将CECM与步骤函数集成,以创建一个异质的多腔超混沌地图 (HMCM).
- 动态分析,包括相位图,利亚普诺夫指数和变量.
- 在数字信号处理器 (DSP) 上实现芯片内分析.
主要成果:
- CECM展示了参数敏感的吸引器形状.
- HMCM产生了具有独特结构的多个空洞,显著提高了系统的复杂性.
- 动态分析证实了在一个广泛的参数范围内强大的超混沌行为.
- 在DSP上硬件实现验证了物理可行性,稳定的混乱和低资源需求.
结论:
- 拟议的HMCM提供了增强的结构复杂性和强大的超混沌性能.
- 该地图适合硬件实现,因为其资源使用量低,并且具有物理可行性.
- 这项工作为设计潜在应用的复杂混乱系统提供了一种新的方法.
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