A Linear Analysis of Coupled Wilson-Cowan Neuronal Populations
Joint Authors
Neves, L. L.
Monteiro, Luiz H. A.
Source
Computational Intelligence and Neuroscience
Issue
Vol. 2016, Issue 2016 (31 Dec. 2015), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-09-20
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Let a neuronal population be composed of an excitatory group interconnected to an inhibitory group.
In the Wilson-Cowan model, the activity of each group of neurons is described by a first-order nonlinear differential equation.
The source of the nonlinearity is the interaction between these two groups, which is represented by a sigmoidal function.
Such a nonlinearity makes difficult theoretical works.
Here, we analytically investigate the dynamics of a pair of coupled populations described by the Wilson-Cowan model by using a linear approximation.
The analytical results are compared to numerical simulations, which show that the trajectories of this fourth-order dynamical system can converge to an equilibrium point, a limit cycle, a two-dimensional torus, or a chaotic attractor.
The relevance of this study is discussed from a biological perspective.
American Psychological Association (APA)
Neves, L. L.& Monteiro, Luiz H. A.. 2016. A Linear Analysis of Coupled Wilson-Cowan Neuronal Populations. Computational Intelligence and Neuroscience،Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1099810
Modern Language Association (MLA)
Neves, L. L.& Monteiro, Luiz H. A.. A Linear Analysis of Coupled Wilson-Cowan Neuronal Populations. Computational Intelligence and Neuroscience Vol. 2016, no. 2016 (2015), pp.1-6.
https://search.emarefa.net/detail/BIM-1099810
American Medical Association (AMA)
Neves, L. L.& Monteiro, Luiz H. A.. A Linear Analysis of Coupled Wilson-Cowan Neuronal Populations. Computational Intelligence and Neuroscience. 2016. Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1099810
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1099810