同进化平衡中的延迟效应作为一个更高阶相互作用
M Ghanbarzadeh Noudehi1, G R Jafari2,3
1Institute for Advanced Studies in Basic Sciences, Department of Physics, 45195-1159 Zanjan, Iran.
Physical review. E
|April 18, 2025
概括
网络互动涉及延迟,影响过渡到平衡状态. 这项研究表明,引入延迟等同于在网络演变模型中添加与现有相互作用相对立的更高阶相互作用.
科学领域:
- 网络科学 网络科学
- 复杂的系统复杂的系统.
- 社会物理学的社会物理.
背景情况:
- 在现实世界的网络中,信息的传播会出现延迟.
- 网络演变模型通常假定即时更新,忽视延迟效应.
- 延迟可以显著影响网络状态转换的动态.
研究的目的:
- 调查延迟信息传播对网络同进化平衡的影响.
- 分析延迟如何影响从不平衡到平衡网络状态的过渡.
- 在网络模型中,将延迟的影响与更高阶相互作用进行比较.
主要方法:
- 利用一个共同进化的平衡模型,包括节点和链路动态.
- 在接收邻居状态更新时引入了特定的延迟.
- 在延迟信息流下分析了网络的新兴特性.
主要成果:
- 证明网络延迟在数学上相当于高阶交互.
- 表明这些新出现的高阶相互作用在无延迟模型中与第一阶相互作用对立.
- 量化了延迟对网络稳定速度和性质的影响.
结论:
- 网络延迟从根本上改变了网络演变的动态,引入了更高层次的稳定或不稳定效应.
- 包括延迟在内提供了更现实的真实世界网络现象的表现.
- 延迟效应为了解网络结构和功能提供了新的视角.
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