在通用多重网络中爆炸性同步,具有竞争性和合作性层间相互作用
Palash Kumar Pal1, Nikita Frolov2, Sarbendu Rakshit3
1Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata 700108, India.
Chaos (Woodbury, N.Y.)
|July 10, 2025
概括
适应式多路网络中的爆炸性同步由竞争性节点分数和网络层控制. 增加层次提高了同步弹性,为复杂的系统控制提供了见解.
科学领域:
- 复杂的系统复杂的系统.
- 网络科学 网络科学
- 动态系统 动态系统
背景情况:
- 爆炸性同步是合系统中具有广泛应用的关键过渡.
- 像神经,电力和社会系统这样的现实世界网络表现出复杂的同步行为.
研究的目的:
- 在具有多种层间相互作用的自适应多重网络中研究爆炸性同步.
- 分析竞争性和合作性合对同步动态的影响.
主要方法:
- 为具有任意层的自适应式多重网络开发了一个通用框架.
- 集成的同时合作和竞争性的层间自适应合.
- 在分析预测和数值模拟中采用平均场方法.
主要成果:
- 竞争节点的分数极大地影响同步;较高的分数抑制它.
- 增加层次的数量可以增强歇斯底里行为和同步弹性.
- 分析预测与各种网络大小的数字模拟非常相匹配.
结论:
- 多重网络架构和自适应性相互依赖对于同步模式至关重要.
- 这些发现为复杂系统中的爆炸同步提供了全面的理解.
- 为控制现实世界网络中的同步提供了洞察力.
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