临界和非临界时间序列的可见度图表,用于吸收状态相位过渡
Juliane T Moraes1, Silvio C Ferreira1,2
1Departamento de Física, Universidade Federal de Viçosa, 36570-900 Viçosa, Minas Gerais, Brazil.
Physical review. E
|November 18, 2023
概括
使用可见度图 (VG) 分析时间序列可以识别关键系统动态. 在临界模式附近,VG显示分类度相关性,而非临界动态则显示分类相关性.
科学领域:
- 复杂系统分析 复杂系统分析
- 统计物理学的统计物理.
- 时间序列分析时间序列分析.
背景情况:
- 研究新兴现象通常依赖于时间顺序的数据,但经典方法在数据准确性和数量方面存在局限性.
- 复杂网络分析提供了一个现代的方法,通过将时间序列映射到图表中,使系统结构的研究成为可能.
研究的目的:
- 利用时间序列数据开发一种方法来区分实验系统中的关键模式.
- 为了分析可见度图 (VG) 从显示吸收状态相位转换的动态过程中绘制时间序列的映射.
主要方法:
- 将时间序列数据映射到可见度图 (VG).
- 在构建的VG中分析度相关性模式.
- 研究从具有吸收状态相位过渡的动态过程中生成的时间序列.
主要成果:
- 可见度图的度相关性有效地区分了关键和非关键的动态模式.
- 关键动态的标志是非对称的分类度相关性,与非关键动态中的分类相关性形成鲜明对比.
- 该方法可以区分连续 (关键) 和不连续 (非关键) 的吸收状态相位过渡.
结论:
- 可见度图分析提供了一个强大的工具,用于识别时间序列数据中的关键性.
- 独特的程度相关性模式为相变提供了洞察力,包括那些与灾难性现象相关的相变.
- 这种方法在更高的维度中特别有效,适用于许多复杂的系统动态.
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