在离散系统中进行偏移增强
Chunbiao Li1, Chenlong Yi2, Yongxin Li2
1School of Artificial Intelligence, Nanjing University of Information Science & Technology, Nanjing 210044, China.
Chaos (Woodbury, N.Y.)
|March 6, 2024
概括
在离散地图中,通过保持差异化特性来实现偏移增强,从而实现灵活的多稳定性. 这种在Hénon地图中展示的方法为电子工程中的混乱调节和吸引力运输提供了新的途径.
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.
- 电子工程 电子工程 电子工程
背景情况:
- 在电子工程中的混沌应用中,偏移增强至关重要.
- 离散地图中的直接变量替换可以破坏它们固有的动态.
- 离散系统缺乏连续系统中存在的可变差异化维度 (DVD).
研究的目的:
- 为了实现离散地图的偏移增强,同时保持它们的动态.
- 探索灵活的多稳定性,例如吸引器自我复制和翻倍.
- 在离散系统中展示一种可靠的偏移提振方法.
主要方法:
- 在离散系统中保留可变维度 (DVD) 差异化的关键属性.
- 通过参数或初始条件调整实现偏移提振.
- 使用一个二维的河地图作为一个案例研究进行演示.
主要成果:
- 在Hénon地图中通过参数和初始条件操纵成功实现了偏移增强.
- 该方法保留了离散地图的基本动态.
- 实现了灵活的多稳定性,包括吸引器自我复制和翻倍.
结论:
- 通过保存DVD,可以有效地在离散地图中实现偏移增强.
- 这种方法使新的形式的多元稳定性成为可能,并为混乱调节提供了新的可能性.
- 电路实验验证了拟议的偏移增强技术的可靠性.
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