Multiple effects of gradient coupling on network synchronization.
Multiple effects of gradient coupling on network synchronization.
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DOI：
10.1103/physreve.77.056208
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发表时间：
2007-07
期刊：
影响因子：
--
通讯作者：
Xingang Wang;Cang-tao Zhou;C. Lai
中科院分区：
文献类型：
--
作者：
Xingang Wang;Cang-tao Zhou;C. Lai
最近的研究表明，梯度耦合或非对称耦合可以显著提高复杂网络的同步性，并且梯度强度的增加可以单调地提高网络的同步性。在这里，我们认为，并证明，对于一个典型的复杂网络，可能有一个最佳的梯度，最大的网络同步性实现。也就是说，大的梯度可能使同步恶化。我们将梯度耦合的抑制作用归因于网络断裂现象，并表明，与稀疏的同质网络相比，密集的异质网络受网络断裂的影响较小，因此，在提高同步性方面，大梯度更有优势.间接模拟的特征值分析和直接模拟耦合的非全同振子的研究结果支持。
Recent studies have shown that the synchronizability of complex networks can be significantly improved by gradient or asymmetric couplings, and increase of the gradient strength could enhance the network synchronizability monotonically. Here we argue and demonstrate that, for a typical complex network, there could be an optimal gradient where the maximum network synchronizability is achieved. That is, large gradient may deteriorate synchronization. We attribute the suppressing effect of gradient coupling to the phenomenon of network breaking and show that, comparing with sparse homogeneous networks, dense heterogeneous networks suffer less from network breaking and, consequently, benefit more from large gradient in improving synchronization. The findings are supported by indirect simulations of eigenvalue analysis and direct simulations of coupled nonidentical oscillators.