Stabilization of a spatially uniform steady state in two systems exhibiting Turing patterns.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 29906826.
- Also identified by DOI 10.1103/PhysRevE.97.052201.
- No licence information is recorded for this record.
- Because redistribution is not established, this page shows the abstract only. Follow the links below for the full text.
Abstract
This paper deals with the stabilization of a spatially uniform steady state in two coupled one-dimensional reaction-diffusion systems with Turing instability. This stabilization corresponds to amplitude death that occurs in a coupled system with Turing instability. Stability analysis of the steady state shows that stabilization does not occur if the two reaction-diffusion systems are identical. We derive a sufficient condition for the steady state to be stable for any length of system and any boundary conditions. Our analytical results are supported with numerical examples.