Felix Sadyrbaev, Valentin Sengileyev, "Oscillations in Dynamic Models of the Wilson-Cowan Type System," WSEAS Transactions on Circuits and Systems, vol. 25, pp. 316-323, 2026, DOI:10.37394/23201.2026.25.28
Felix Sadyrbaev, Valentin Sengileyev. Oscillations in Dynamic Models of the Wilson-Cowan Type System.
WSEAS Transactions on Circuits and Systems. 2026;25:316-323. 10.37394/23201.2026.25.28
WSEAS Transactions on Circuits and Systems
Print ISSN: 1109-2734, E-ISSN: 2224-266X
Volume 25, 2026
Oscillations in Dynamic Models of the Wilson-Cowan Type System
Authors: ,
Abstract: A review of samples of oscillations in a system of ordinary differential equations that arise in
mathematical models of complex networks is provided. Starting from the low-dimensional systems,
we go up in the sense of system dimensionality, commenting on various patterns that appear. We
overlook examples of relatively large systems (with dimensionality up to 13 equations) that describe
leukemia treatment and cellular aging. Visualizations and examples are supplied. The methods used are
of geometrical and computational nature, revealing phase space structures and specifics.
Keywords:
Dynamical systems, gene networks, regulatory matrix, attractors, periodic solutions, phase space, cellular ageing
Pages: 316-323 WSEAS Transactions on Circuits and Systems, ISSN / E-ISSN: 1109-2734 / 2224-266X, Volume 25, 2026, Art. #28 DOI: 10.37394/23201.2026.25.28
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