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基于采样距离的自下而上的方法来检测复发
Rémi Delage1, Toshihiko Nakata1
1Department of Management Science and Technology, Tohoku University, Sendai 980-8579, Japan.
Chaos (Woodbury, N.Y.)
|December 7, 2023
概括
本研究引入了一种新的方法,用于动态系统中的复发分析,使用基于采样距离的可变值. 这种方法稳定了复发结构,并有效地减轻了触动运动效应,改进了数据分析.
科学领域:
- 动态系统分析 动态系统分析
- 非线性动力学是一种非线性动力学.
- 时间序列分析时间序列分析
背景情况:
- 动态系统的反复性分析受到触动运动效应的挑战.
- 选择值至关重要,尤其对于非静态数据.
- 现有的方法在与突然的转换和噪音作斗争.
研究的目的:
- 引入一种新的,强大的值方法来进行复发分析.
- 为了减轻重复量化中的触动运动效应.
- 加强对非静止和噪声较大的动态系统的分析.
主要方法:
- 使用相位空间连续点之间的距离作为复发值参考.
- 开发一个自下而上的值方法.
- 标准化采样频率独立性的方法.
主要成果:
- 拟议的方法产生稳定的复发结构,优于以前的技术.
- 它有效地处理动态系统中的突然转换.
- 该方法证明了抗噪力和独立于采样频率.
结论:
- 基于距离的采样值方法为复发性分析提供了稳定可靠的方法.
- 它为避免接触式运动效应提供了一个明确的参考.
- 这种技术增强了动态系统行为的量化和解释,特别是对于非静止数据.
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