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  Averaging method for the existence of singular canards in a two-cell inhibitory neural network

Liu, Y., Liu, S., Kurths, J. (2024): Averaging method for the existence of singular canards in a two-cell inhibitory neural network. - EPL (Europhysics Letters), 148, 4, 42001.
https://doi.org/10.1209/0295-5075/ad9051

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 Creators:
Liu, Yaru1, Author
Liu, Shenquan1, Author
Kurths, Jürgen2, Author              
Affiliations:
1External Organizations, ou_persistent22              
2Potsdam Institute for Climate Impact Research, ou_persistent13              

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 Abstract: Studies of firing rate neuronal competition models, as observed in binocular rivalry, showed that the variation of the stimulus parameters can lead to rich and interesting dynamics. We use the two-cell inhibitory neural network model to address the canards accompanied by the Ls-typed mixed-mode oscillations (MMOs). Specifically, we prove the existence and asymptotic expression of canards for this two-cell model by the average method. Meanwhile, our simulation indicates that the results are in accordance with the theory. Our solution can provide ideas for determining and selecting weights in model fusion of machine learning.

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Language(s): eng - English
 Dates: 2024-12-032024-12-03
 Publication Status: Finally published
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1209/0295-5075/ad9051
MDB-ID: No data to archive
PIKDOMAIN: RD4 - Complexity Science
Organisational keyword: RD4 - Complexity Science
 Degree: -

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Title: EPL (Europhysics Letters)
Source Genre: Journal, SCI, Scopus, p3
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Pages: - Volume / Issue: 148 (4) Sequence Number: 42001 Start / End Page: - Identifier: CoNE: https://publications.pik-potsdam.de/cone/journals/resource/journals132
Publisher: IOP Publishing