高级相互依赖网络的稳定性与加强节点
Junjie Zhang1, Caixia Liu2, Shuxin Liu1
1Institute of Information Technology, PLA Strategic Support Force Information Engineering University, Zhengzhou 450000, China.
Chaos (Woodbury, N.Y.)
|August 23, 2024
概括
将增强节点引入更高层次的相互依赖网络,提高了它们的稳定性. 这种理论模型表明,加强节点可以防止复杂网络中的系统突然崩.
科学领域:
- 网络科学 网络科学
- 复杂的系统复杂的系统.
- 统计物理 统计物理
背景情况:
- 传统的网络模型通常依赖于对互动,这对于大脑和社交网络等复杂系统来说是不够的.
- 涉及三个或更多节点的高阶交互在许多现实世界网络中至关重要.
- 由于级联失败,多层高级相互依赖的网络具有很高的脆弱性.
研究的目的:
- 提出一个二层部分高阶相互依赖网络的理论模型.
- 调查加强节点对网络稳定性和级联故障的影响.
- 分析相位过渡现象及其对网络参数的依赖.
主要方法:
- 为双层部分高阶相互依赖网络开发理论模型.
- 引入一部分能够独立运行的强化节点.
- 理论分析和模拟以研究顺序参数 (巨型组件,功能组件) 和相位过渡.
主要成果:
- 通过改变2-simplices的密度和增强节点的比例,观察到丰富的相位过渡现象.
- 增加2-simplex密度可以诱导网络中的双转换.
- 增强节点的比例可以将第二个过渡从不连续转变为连续或无过渡.
结论:
- 强化节点显著提高了更高阶相互依存网络的稳定性.
- 拟议的模型有效地防止了复杂网络中的突然系统崩.
- 这些发现为设计更有弹性的相互依存基础设施网络提供了洞察力.
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