Networked Non-Clustering Phase Synchronization in Coupled Neuron Systems

XIE Yiding; WANG Zhengping; LIU Shuai

doi:10.21656/1000-0887.400297

Volume 41 Issue 6

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XIE Yiding, WANG Zhengping, LIU Shuai. Networked Non-Clustering Phase Synchronization in Coupled Neuron Systems[J]. Applied Mathematics and Mechanics, 2020, 41(6): 627-635. doi: 10.21656/1000-0887.400297

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Networked Non-Clustering Phase Synchronization in Coupled Neuron Systems

doi: 10.21656/1000-0887.400297

¹School of Energy and Power Engineering, Wuhan University of Technology, Wuhan 430063, P.R.China;²School of Science, Wuhan University of Technology, Wuhan 430070, P.R.China;³College of Science, Northwest A&F University, Yangling, Shaanxi 712100, P.R.China

Funds: The National Natural Science Foundation of China（11605142；11871386）

Received Date: 2019-10-10
Rev Recd Date: 2019-11-26
Publish Date: 2020-06-01

Abstract

Abstract

The phase synchronization of coupled neurons under different complex network environments (including classical small-world, scale-free and random networks) was studied. Differing from the clustering phase synchronization in coupled phase oscillators generally found and reported in previous literature, a novel non-clustering phase synchronization was uncovered. The global synchronization involves 2 different dynamical processes: the frequency increase and the frequency decrease, where the frequency increase is induced by the spike insertion, and the frequency decrease is induced by the spike merge. Therefore, the neuron’s frequency variation mainly depends on the change of spike numbers, and the usual phase clustering phenomenon cannot be found here. The findings could enrich the understanding of networked dynamical behaviors including the phase synchronization and the computational neuron dynamics.
- non-clustering phase synchronization,
- coupled neurons,
- complex network,
- clustering phase synchronization

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References

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