Topologically determined optimal stochastic resonance responses of spatially embedded networks
Topologically determined optimal stochastic resonance responses of spatially embedded networks
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DOI：
10.1088/1367-2630/13/1/013012
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发表时间：
2011-01-01
影响因子：
3.3
通讯作者：
Marhl, Marko
中科院分区：
文献类型：
--
作者：
Gosak, Marko;Korosak, Dean;Marhl, Marko
我们分析了随机振荡器和可激发振荡器的空间网络上的随机共振现象，这些振荡器根据它们的位置和外部强迫的幅度而连接。通过平滑地改变网络拓扑结构，从一个无标度（SF）网络与主导的远程连接到一个网络，主要是只有相邻的振荡器连接，我们发现，除了最佳的噪声强度，也有一个最有利的相互作用拓扑结构，在该网络的响应之间的最佳相关性和所施加的弱外力。对于各种分布的振幅的外部强迫，最佳的拓扑结构总是在高度异质性SF网络和强几何制度之间的中间制度。因此，我们的研究结果表明，一个合适的数量的枢纽，并与短程和远程连接之间的最佳比例是必要的，以获得最佳的全球响应的空间网络。此外，我们链接的最佳相互作用拓扑结构的存在的临界点，表明从远程相互作用为主的网络过渡到一个更像格子的网络结构。
We have analyzed the stochastic resonance phenomenon on spatial networks of bistable and excitable oscillators, which are connected according to their location and the amplitude of external forcing. By smoothly altering the network topology from a scale-free (SF) network with dominating long-range connections to a network where principally only adjacent oscillators are connected, we reveal that besides an optimal noise intensity, there is also a most favorable interaction topology at which the best correlation between the response of the network and the imposed weak external forcing is achieved. For various distributions of the amplitudes of external forcing, the optimal topology is always found in the intermediate regime between the highly heterogeneous SF network and the strong geometric regime. Our findings thus indicate that a suitable number of hubs and with that an optimal ratio between short- and long-range connections is necessary in order to obtain the best global response of a spatial network. Furthermore, we link the existence of the optimal interaction topology to a critical point indicating the transition from a long-range interactions-dominated network to a more lattice-like network structure.