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具有模块化结构的复杂网络中的交替嵌合体状态。

Alternating chimera states in complex networks with modular structures.

机构信息

State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace Engineering, Xi'an Jiaotong University, Xi'an 710049, People's Republic of China.

Hefei General Machinery Research Institute, State Key Laboratory of Compressor Technology, Hefei 230031, People's Republic of China.

出版信息

Chaos. 2023 Mar;33(3):033136. doi: 10.1063/5.0132072.

DOI:10.1063/5.0132072
PMID:37003804
Abstract

Chimera, the coexistence state of synchronization and non-synchronization, widely exists in complex networks. It has a great potentially explanatory power for the unihemispheric sleep of birds and some mammals, in which the synchronizations of the hemispheres of the cerebral cortex are evolving alternately. In this study, a coupled nonlinear oscillator system with a topology of the modular complex network was constructed to simulate the left and right hemispheres of the brain. The results showed that a stable chimera, an alternating chimera, and a breathing chimera were produced when the coupling strength and connection probability of the left and right hemispheres were changed. Further, we studied the effect of noise on rich synchronous patterns and found that the alternating chimera was robust to Gaussian white noise when the strength was not very large. Finally, our study was extended to a complex network with three sub-networks, and an alternating chimera could exist in two or three sub-networks. Our research provides a deeper insight into the mechanism of brain function like unihemispheric sleep.

摘要

嵌合体,即同步和非同步共存的状态,广泛存在于复杂网络中。它对鸟类和一些哺乳动物的单半球睡眠具有很强的解释力,在这种睡眠中,大脑皮层的两个半球的同步性在交替演变。在这项研究中,构建了一个具有模块复杂网络拓扑结构的耦合非线性振荡器系统,以模拟大脑的左右半球。结果表明,当改变左右半球的耦合强度和连接概率时,会产生稳定的嵌合体、交替的嵌合体和呼吸的嵌合体。此外,我们研究了噪声对丰富同步模式的影响,发现当强度不是很大时,交替嵌合体对高斯白噪声具有鲁棒性。最后,我们的研究扩展到了具有三个子网的复杂网络,并且在两个或三个子网中存在交替嵌合体。我们的研究为单半球睡眠等大脑功能的机制提供了更深入的了解。

相似文献

1
Alternating chimera states in complex networks with modular structures.具有模块化结构的复杂网络中的交替嵌合体状态。
Chaos. 2023 Mar;33(3):033136. doi: 10.1063/5.0132072.
2
Neural Synchronization, Chimera States and Sleep Asymmetry.神经同步、奇异态与睡眠不对称性
Front Netw Physiol. 2021 Oct 13;1:734332. doi: 10.3389/fnetp.2021.734332. eCollection 2021.
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A Brief Review of Chimera State in Empirical Brain Networks.实证脑网络中嵌合态的简要综述。
Front Physiol. 2020 Jun 30;11:724. doi: 10.3389/fphys.2020.00724. eCollection 2020.
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Chimera states in neuronal networks: A review.神经元网络中的嵌合体状态:综述。
Phys Life Rev. 2019 Mar;28:100-121. doi: 10.1016/j.plrev.2018.09.003. Epub 2018 Sep 12.
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Metastability and chimera states in modular delay and pulse-coupled oscillator networks.模块时滞和脉冲耦合振荡器网络中的亚稳和复合态。
Chaos. 2012 Dec;22(4):043131. doi: 10.1063/1.4766592.
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Chimera states in time-varying complex networks.时变复杂网络中的奇异态
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Feb;91(2):022817. doi: 10.1103/PhysRevE.91.022817. Epub 2015 Feb 26.
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Basins of attraction of chimera states on networks.网络上奇异态的吸引域
Front Physiol. 2022 Sep 8;13:959431. doi: 10.3389/fphys.2022.959431. eCollection 2022.
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Geometry unites synchrony, chimeras, and waves in nonlinear oscillator networks.几何结构将非线性振荡器网络中的同步、嵌合体和波统一起来。
Chaos. 2022 Mar;32(3):031104. doi: 10.1063/5.0078791.
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A two-layered brain network model and its chimera state.双层脑网络模型及其准态。
Sci Rep. 2019 Oct 7;9(1):14389. doi: 10.1038/s41598-019-50969-5.
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Chimera states in two-dimensional networks of locally coupled oscillators.偶合振子二维网络中的嵌合体态
Phys Rev E. 2018 Feb;97(2-1):022201. doi: 10.1103/PhysRevE.97.022201.

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Synaptic plasticity: from chimera states to synchronicity oscillations in multilayer neural networks.突触可塑性:从多层神经网络中的嵌合态到同步振荡
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受挫振荡网络中亚稳态的出现:层次模块化的关键作用。
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