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混沌快慢振荡器小世界网络中猝发同步的盆地稳定性。

Basin stability for burst synchronization in small-world networks of chaotic slow-fast oscillators.

作者信息

Maslennikov Oleg V, Nekorkin Vladimir I, Kurths Jürgen

机构信息

Institute of Applied Physics, Russian Academy of Sciences, 46 Ul'yanov street, 603950, Nizhny Novgorod, Russia.

Potsdam Institute for Climate Impact Research, Telegraphenberg, D-14415 Potsdam, Germany.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Oct;92(4):042803. doi: 10.1103/PhysRevE.92.042803. Epub 2015 Oct 6.

DOI:10.1103/PhysRevE.92.042803
PMID:26565285
Abstract

The impact of connectivity and individual dynamics on the basin stability of the burst synchronization regime in small-world networks consisting of chaotic slow-fast oscillators is studied. It is shown that there are rewiring probabilities corresponding to the largest basin stabilities, which uncovers a reason for finding small-world topologies in real neuronal networks. The impact of coupling density and strength as well as the nodal parameters of relaxation or excitability are studied. Dynamic mechanisms are uncovered that most strongly influence basin stability of the burst synchronization regime.

摘要

研究了由混沌快慢振荡器组成的小世界网络中连接性和个体动力学对爆发同步状态下盆地稳定性的影响。结果表明,存在对应于最大盆地稳定性的重新布线概率,这揭示了在真实神经元网络中发现小世界拓扑结构的一个原因。研究了耦合密度和强度以及弛豫或兴奋性的节点参数的影响。揭示了对爆发同步状态下盆地稳定性影响最为强烈的动力学机制。

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