A Linear Analysis of Coupled Wilson-Cowan Neuronal Populations
| dc.contributor.author | Neves L.L. | |
| dc.contributor.author | Monteiro L.H.A. | |
| dc.date.accessioned | 2024-03-13T00:55:10Z | |
| dc.date.available | 2024-03-13T00:55:10Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | © 2016 L. L. Neves and L. H. A. Monteiro.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. | |
| dc.description.volume | 2016 | |
| dc.identifier.doi | 10.1155/2016/8939218 | |
| dc.identifier.issn | 1687-5273 | |
| dc.identifier.uri | https://dspace.mackenzie.br/handle/10899/36084 | |
| dc.relation.ispartof | Computational Intelligence and Neuroscience | |
| dc.rights | Acesso Aberto | |
| dc.title | A Linear Analysis of Coupled Wilson-Cowan Neuronal Populations | |
| dc.type | Artigo | |
| local.scopus.citations | 7 | |
| local.scopus.eid | 2-s2.0-84990831590 | |
| local.scopus.subject | Analytical results | |
| local.scopus.subject | Chaotic attractors | |
| local.scopus.subject | Equilibrium point | |
| local.scopus.subject | First order nonlinear differential equations | |
| local.scopus.subject | Fourth-order dynamical systems | |
| local.scopus.subject | Linear approximations | |
| local.scopus.subject | Neuronal populations | |
| local.scopus.subject | Sigmoidal functions | |
| local.scopus.subject | Animals | |
| local.scopus.subject | Computer Simulation | |
| local.scopus.subject | Humans | |
| local.scopus.subject | Linear Models | |
| local.scopus.subject | Models, Neurological | |
| local.scopus.subject | Nerve Net | |
| local.scopus.subject | Neurons | |
| local.scopus.updated | 2024-05-01 | |
| local.scopus.url | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84990831590&origin=inward |