When multilayer links exchange their roles in synchronization
When multilayer links exchange their roles in synchronization
复制标题
当多层链路同步交换角色时
DOI：
10.1103/physreve.106.024214
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发表时间：
2022
影响因子：
2.4
通讯作者：
Igor Belykh
中科院分区：
文献类型：
--
作者：
Longkun Tang;Kelley Smith;Kevin Daley;Igor Belykh
现实世界的网络包含多层链路，它们的相互作用可以导致非凡的集体动态，包括同步。由于现有稳定性方法的严重局限性，评估网络拓扑如何控制多层网络中的同步仍然是一个悬而未决的基本问题。为了消除这一障碍，我们提出了一种近似方法，该方法显著提高了主稳定函数对多层网络稳定同步的预测能力。对于包括Rössler和分段线性系统在内的一类鞍焦振子，我们的方法将复杂的稳定性分析归结为简单地求解一组线性代数方程。利用该方法，我们解析地预测了由于多层耦合而产生的令人惊讶的效应。特别是，我们证明了当在多层网络中使用时，两个耦合层--其中一个单独阻碍同步，另一个将促进同步--颠倒了它们的角色。我们还分析证明，增加全局耦合层的大小将导致稳定的同步，从而使多层网络不可同步。
Real world networks contain multiple layers of links whose interactions can lead to extraordinary collective dynamics, including synchronization. The fundamental problem of assessing how network topology controls synchronization in multilayer networks remains open due to serious limitations of the existing stability methods. Towards removing this obstacle, we propose an approximation method which significantly enhances the predictive power of the master stability function for stable synchronization in multilayer networks. For a class of saddle-focus oscillators, including Rössler and piecewise linear systems, our method reduces the complex stability analysis to simply solving a set of linear algebraic equations. Using the method, we analytically predict surprising effects due to multilayer coupling. In particular, we prove that two coupling layers—one of which would alone hamper synchronization and the other would foster it—reverse their roles when used in a multilayer network. We also analytically demonstrate that increasing the size of a globally coupled layer, that in isolation would induce stable synchronization, makes the multilayer network unsynchronizable.