Almost periodic solutions for Wilson-Cowan type model with time-varying delays (Q1956095)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Almost periodic solutions for Wilson-Cowan type model with time-varying delays |
scientific article; zbMATH DE number 6175107
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Almost periodic solutions for Wilson-Cowan type model with time-varying delays |
scientific article; zbMATH DE number 6175107 |
Statements
Almost periodic solutions for Wilson-Cowan type model with time-varying delays (English)
0 references
13 June 2013
0 references
Summary: Wilson-Cowan model of neuronal population with time-varying delays is considered in this paper. Some sufficient conditions for the existence and delay-based exponential stability of a unique almost periodic solution are established. The approaches are based on constructing Lyapunov functionals and the well-known Banach contraction mapping principle. The results are new, easily checkable, and complement existing periodic ones.
0 references
Banach contraction mapping principle
0 references
almost periodic solution
0 references
delay-based exponential stability
0 references
Lyapunov functionals
0 references
Wilson-Cowan model
0 references
0 references
