Deutsch
 
Datenschutzhinweis Impressum
  DetailsucheBrowse

Datensatz

DATENSATZ AKTIONENEXPORT

Freigegeben

Zeitschriftenartikel

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

Urheber*innen

Liu,  Yaru
External Organizations;

Liu,  Shenquan
External Organizations;

/persons/resource/Juergen.Kurths

Kurths,  Jürgen
Potsdam Institute for Climate Impact Research;

Externe Ressourcen
Es sind keine externen Ressourcen hinterlegt
Volltexte (frei zugänglich)
Es sind keine frei zugänglichen Volltexte in PIKpublic verfügbar
Ergänzendes Material (frei zugänglich)
Es sind keine frei zugänglichen Ergänzenden Materialien verfügbar
Zitation

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


Zitierlink: https://publications.pik-potsdam.de/pubman/item/item_31736
Zusammenfassung
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.