对于平衡和不平衡系统的透替代方案
Eugenio E Vogel1,2, Francisco J Peña3, Gonzalo Saravia4
1Departamento de Ciencias Físicas, Universidad de La Frontera, Casilla 54-D, Temuco 4811230, Chile.
Entropy (Basel, Switzerland)
|July 29, 2025
概括
我们引入了不可重复性和可变性,这是复杂系统动态的新措施. 排序的可变性揭示了关键的系统行为,提供了超越传统的见解.
科学领域:
- 复杂系统科学 复杂系统科学
- 统计物理 统计物理
- 动态系统理论 动态系统理论
背景情况:
- 传统的度通常忽略了时间数据的排序.
- 动态,就像可变性一样,在统计物理学中用于顺序数据.
- 分析复杂系统需要对时间动态敏感的方法.
研究的目的:
- 为复杂系统引入一种新的与相关的函数,即不可重复性.
- 通过对有序数据引入排序的可变性来扩展可变性.
- 使用基准系统评估这些措施的实用性,并与香农相比较.
主要方法:
- 不重复性和分类可变性的定义和计算.
- 在正方形格子上对磁时刻的蒙特卡洛模拟的应用.
- 从USGS目录中分析地震时间序列数据.
- 与香农的比较,以突出时间灵敏度的差异.
主要成果:
- 不重复性和可变性表明对数据时间顺序的敏感性.
- 排序的可变性为研究系统的关键行为提供了额外的见解.
- 拟议的措施为传统的定义提供了一个补充的视角.
结论:
- 非重复性和排序性可变性是分析复杂系统中动态行为的有价值的工具.
- 这些指标捕获与时间排序相关的信息,而静态指标忽略了这些信息.
- 这些发现表明,在研究时间依赖现象的各个领域有潜在的应用.
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