Synchronization and spatiotemporal patterns in coupled phase oscillators on a weighted planar network
Synchronization and spatiotemporal patterns in coupled phase oscillators on a weighted planar network
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DOI：
10.1103/physreve.79.046216
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发表时间：
2009-04-01
影响因子：
2.4
通讯作者：
Takamatsu, Atsuko
中科院分区：
文献类型：
--
作者：
Kagawa, Yuki;Takamatsu, Atsuko
为了揭示在二维生物系统中发现的网络结构之间的关系，例如真黏菌原质团中的原生质管网络，以及网络上出现的时空振荡模式，我们在加权平面网络上构建了耦合相位振荡器并研究了它们的动力学。结果表明，在网络中的边缘权重的分布强烈影响（i）全球同步的倾向和（ii）振荡模式的出现率，如行波和同心波，即使总重量是固定的。在相位锁定，行波和同心波图案，分别观察到最频繁的均匀加权，中心加权树状，和外围加权环形网络。用局部加权（耦合）规则给出的权重分布来控制全局时空模式可能在生物网络系统（包括大脑中的疟原虫网络和神经网络）中是有用的。
To reveal the relation between network structures found in two-dimensional biological systems, such as protoplasmic tube networks in the plasmodium of true slime mold, and spatiotemporal oscillation patterns emerged on the networks, we constructed coupled phase oscillators on weighted planar networks and investigated their dynamics. Results showed that the distribution of edge weights in the networks strongly affects (i) the propensity for global synchronization and (ii) emerging ratios of oscillation patterns, such as traveling and concentric waves, even if the total weight is fixed. In-phase locking, traveling wave, and concentric wave patterns were, respectively, observed most frequently in uniformly weighted, center weighted treelike, and periphery weighted ring-shaped networks. Controlling the global spatiotemporal patterns with the weight distribution given by the local weighting (coupling) rules might be useful in biological network systems including the plasmodial networks and neural networks in the brain.