在多重适应性网络中的异质核化
Akash Yadav1, Qazi Saaheelur Rahaman1,2, V K Chandrasekar3
1Indian Institute of Science Education and Research, School of Physics, Thiruvananthapuram-695551, Kerala, India.
Physical review. E
|June 19, 2025
概括
多重网络的一个层的频率障碍会触发其他层的同步过渡. 这种异质的核形成会影响相位转换和脱同步,揭示网络特定的动态.
科学领域:
- 复杂的系统复杂的系统.
- 网络科学 网络科学
- 非线性动力学是一种非线性动力学.
背景情况:
- 多重网络由多个相互作用的层组成,每个层都有独特的属性.
- 库拉莫托振荡器是广泛用于研究同步现象的模型.
- 频率障碍可以显著改变合振荡器系统中的同步动态.
研究的目的:
- 调查频率失调对多重网络中相位过渡到同步的影响.
- 了解一个层中的混乱是如何在其他层中产生同步的.
- 分析层间合强度在同步和脱同步过渡中的作用.
主要方法:
- 在多重网络结构中模拟自适应合的库拉莫托振荡器.
- 在特定的层中引入频率障碍以观察其传播.
- 使用同步索引和合重量快照分析同步过渡.
- 使用集体坐标框架来导出减少的进化方程.
主要成果:
- 一个层中的频率障碍作为核化部位,影响均层中的同步.
- 多重网络主要表现出突如其来的单步过渡,偶尔会出现渐进的多步过渡.
- 中间层间的合强度减少了同步所需的内层合.
- 脱同步过渡发生在中间合范围,特定于多层网络.
结论:
- 由于频率障碍导致的异质核形成,在多重网络中驱动着不同的同步过渡.
- 来自集体坐标框架的缩小模型准确地预测观察到的过渡.
- 这些发现提供了对现实世界多层系统复杂同步动态的见解.
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