Bifurcation Analysis of Wilson-Cowan Model with Singular Impulses

Date

2021-01-01

Author

Çağ, Sabahattin
Akhmet, Marat

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The paper concerns with Wilson-Cowan neural model. The main novelty of the study is that besides the traditional singularity of the model, we consider singular impulses. A new technique of analysis of the phenomenon is suggested. This allows to consider the existence of solutions of the model and bifurcation in ultimate neural behavior observed through numerical simulations. The bifurcations are reasoned by impulses and singularity in the model and they concern the structure of attractors, which consist of newly introduced sets in the phase space such that medusas and rings.

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85101761651&origin=inward
https://hdl.handle.net/11511/90869

Journal

Discontinuity, Nonlinearity, and Complexity

DOI

https://doi.org/10.5890/dnc.2021.03.012

Collections

Department of Mathematics, Article

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Citation Formats

S. Çağ and M. Akhmet, “Bifurcation Analysis of Wilson-Cowan Model with Singular Impulses,” Discontinuity, Nonlinearity, and Complexity, pp. 161–172, 2021, Accessed: 00, 2021. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85101761651&origin=inward.