A time-periodic oscillatory hexagonal solution in a 2-dimensional integro-differential reaction-diffusion system (Q2203649)
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: A time-periodic oscillatory hexagonal solution in a 2-dimensional integro-differential reaction-diffusion system |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A time-periodic oscillatory hexagonal solution in a 2-dimensional integro-differential reaction-diffusion system |
scientific article |
Statements
A time-periodic oscillatory hexagonal solution in a 2-dimensional integro-differential reaction-diffusion system (English)
0 references
7 October 2020
0 references
The authors deal with an oscillatory hexagonal solution for a two-component reaction-diffusion system with a nonlocal term. By using center manifold theory, they obtain a four-dimensional dynamical system that provides the bifurcation structure around the trivial solution. The results show that the oscillatory hexagonal solution can bifurcate from a stationary hexagonal solution via Hopf bifurcation. This provides a reasonable explanation for the existence of the oscillatory hexagon. The derived results are new and may have important impact in bifurcation theory.
0 references
hexagon
0 references
reaction-diffusion system
0 references
Hopf bifurcation
0 references
pattern formation
0 references
