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  Computational singular perturbation method for the non-standard FitzHugh-Nagumo system

Liu, Y., Liu, S., Kurths, J. (2022): Computational singular perturbation method for the non-standard FitzHugh-Nagumo system. - EPL (Europhysics Letters), 139, 3, 32002.
https://doi.org/10.1209/0295-5075/ac33ca

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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: An effective computational singular perturbation (CSP) method for solving the non-standard FitzHugh-Nagumo system is constructed and evaluated by detailed algebra factorization. Furthermore, our studies illustrate a geometric CSP framework with the layer and reduced problems for the non-standard FitzHugh-Nagumo system. Finally, the first two CSP manifolds and two CSP fast fibers are also presented for the FitzHugh-Nagumo system by one-step and two-step CSP updates in this context. The CSP method can further describe Fenichel manifolds and facilitate a better understanding of the dynamic properties of complex neuron models or circuit neural models.

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Language(s): eng - English
 Dates: 2022-08-012022-08-01
 Publication Status: Finally published
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1209/0295-5075/ac33ca
MDB-ID: No data to archive
PIKDOMAIN: RD4 - Complexity Science
Organisational keyword: RD4 - Complexity Science
Working Group: Network- and machine-learning-based prediction of extreme events
Research topic keyword: Complex Networks
Research topic keyword: Health
Research topic keyword: Nonlinear Dynamics
 Degree: -

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Title: EPL (Europhysics Letters)
Source Genre: Journal, SCI, Scopus, p3
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Publ. Info: -
Pages: - Volume / Issue: 139 (3) Sequence Number: 32002 Start / End Page: - Identifier: CoNE: https://publications.pik-potsdam.de/cone/journals/resource/journals132
Publisher: IOP Publishing