在定向网络中,破碎的详细平衡和的产生
Ramón Nartallo-Kaluarachchi1,2, Malbor Asllani3, Gustavo Deco4,5,6
1Mathematical Institute, <a href="https://ror.org/052gg0110">University of Oxford</a>, Woodstock Road, Oxford OX2 6GG, United Kingdom.
Physical review. E
|October 19, 2024
概括
网络结构显著影响动态. 定向和层次网络打破了详细的平衡,增加了的产生,这种发现在金融和神经成像等现实世界系统中观察到.
科学领域:
- 复杂系统科学 复杂系统科学
- 网络科学 网络科学
- 统计物理学的统计物理.
背景情况:
- 网络结构决定了系统动态.
- 指导和层次组织是网络的关键特征.
- 详细的平衡和的产生是动态学的基本概念.
研究的目的:
- 研究网络结构与动态特性之间的关系.
- 为了确定方向性和层次如何影响的产生.
- 开发一种从时间序列数据推断网络属性的方法.
主要方法:
- 一个双节点网络的分析处理.
- 使用偏好的附加和埃尔多斯-雷尼算法进行数值模拟.
- 对97个实证网络的分析.
- 开发和应用一种方法,从多变量时间序列中推断破碎的详细平衡和定向网络结构.
主要成果:
- 定向和层次的网络组织与破碎的详细平衡和增加的产量密切相关.
- 特定的定向网络特征对各种动态的生产率有定量影响.
- 开发的方法成功地确定了人类神经影像和金融时间序列中的非平衡动态和层次组织.
结论:
- 定向网络结构对非平衡动态有重大影响.
- 层次组织和非平衡动态在现实世界系统中普遍存在.
- 该研究提供了对网络拓和系统行为之间的相互作用的见解.
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