动态网络中的内部可靠性和反可靠性
Tommaso Matteuzzi1, Franco Bagnoli1,2, Michele Baia1,2
1University of Firenze, Department of Physics and Astronomy and CSDC, via G. Sansone 1, I-50019 Sesto Fiorentino, Italy.
Physical review. E
|November 18, 2025
概括
我们为动态网络引入内部可靠性,评估单元同步. 外围单元通常是不可靠的,而中央单元往往是可靠的,这取决于合.
科学领域:
- 动态系统和网络理论.
- 统计物理学的统计物理.
- 计算神经科学是一种计算神经科学.
背景情况:
- 在复杂的系统中,了解相互连接的单元的稳定性和行为至关重要.
- 内部可靠性定义了网络中的复制单位如何保持其预期状态.
研究的目的:
- 在有限动态网络中定义和量化内部可靠性.
- 分析各种合振荡器模型中的可靠性模式,包括库拉莫托模型.
- 调查合 (吸引力与排斥性) 对单元可靠性的影响.
主要方法:
- 基于与原型的状态同步的内部可靠性的定义.
- 使用横向利亚普诺夫指数进行量化.
- 用分布式自然频率分析库拉莫托模型.
- 检查其他合振荡器模型 (温弗里,旋转器,斯图尔特-兰多).
主要成果:
- 在同步之前,在有吸引力的合下,外围单元是不可靠的,中央单元是可靠的.
- 排斥性合扭转了这种模式:中央单元是不可靠的,外围单元是可靠的.
- 大型子网络和循环神经网络表现出反可靠性,而单个单元是可靠的.
- 库拉莫托模型中的可靠性与相位相关性有关,通过波动-消散类关系.
结论:
- 内部可靠性是动态网络的一个可量化的属性,受单元属性和网络拓学的影响.
- 该研究揭示了合振荡器系统的明显可靠性模式,为网络稳定提供了洞察力.
- 结果在多个合振荡器模型中是一致的,这表明了可概括的原则.
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