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  Suppression of anomalous synchronization and nonstationary behavior of neural network under small-world topology

Boaretto, B. R. R., Budzinski, R. C., Prado, T. L., Kurths, J., Lopes, S. R. (2018): Suppression of anomalous synchronization and nonstationary behavior of neural network under small-world topology. - Physica A-Statistical Mechanics and its Applications, 497, 126-138.
https://doi.org/10.1016/j.physa.2017.12.053

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Boaretto, B. R. R.1, Author
Budzinski, R. C.1, Author
Prado, T. L.1, Author
Kurths, Jürgen2, Author              
Lopes, Sergio Roberto2, Author              
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1External Organizations, ou_persistent22              
2Potsdam Institute for Climate Impact Research, ou_persistent13              

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 Abstract: It is known that neural networks under small-world topology can present anomalous synchronization and nonstationary behavior for weak coupling regimes. Here, we propose methods to suppress the anomalous synchronization and also to diminish the nonstationary behavior occurring in weakly coupled neural network under small-world topology. We consider a network of 2000 thermally sensitive identical neurons, based on the model of Hodgkin–Huxley in a small-world topology, with the probability of adding non local connection equal to . Based on experimental protocols to suppress anomalous synchronization, as well as nonstationary behavior of the neural network dynamics, we make use of (i) external stimulus (pulsed current); (ii) biologic parameters changing (neuron membrane conductance changes); and (iii) body temperature changes. Quantification analysis to evaluate phase synchronization makes use of the Kuramoto’s order parameter, while recurrence quantification analysis, particularly the determinism, computed over the easily accessible mean field of network, the local field potential (LFP), is used to evaluate nonstationary states. We show that the methods proposed can control the anomalous synchronization and nonstationarity occurring for weak coupling parameter without any effect on the individual neuron dynamics, neither in the expected asymptotic synchronized states occurring for large values of the coupling parameter.

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 Dates: 2018
 Publication Status: Finally published
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1016/j.physa.2017.12.053
PIKDOMAIN: Transdisciplinary Concepts & Methods - Research Domain IV
eDoc: 8231
Research topic keyword: Complex Networks
Research topic keyword: Extremes
Research topic keyword: Nonlinear Dynamics
Organisational keyword: RD4 - Complexity Science
Working Group: Network- and machine-learning-based prediction of extreme events
 Degree: -

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Title: Physica A-Statistical Mechanics and its Applications
Source Genre: Journal, SCI, Scopus, p3
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Pages: - Volume / Issue: 497 Sequence Number: - Start / End Page: 126 - 138 Identifier: CoNE: https://publications.pik-potsdam.de/cone/journals/resource/1402122
Publisher: Elsevier