Published August 9, 2004
| Version v1
Journal article
Network topology and Turing instabilities in small arrays of diffusively coupled reactors
- 1. Department of Chemistry and Center for Scientific Computation, Southern Methodist University, Dallas, TX 75275-0314 (United States)
- 2. Department of Mathematics and Center for Scientific Computation, Southern Methodist University, Dallas, TX 75275-0156 (United States)
Description
We study the effect of the network structure on the diffusion-induced instability to nonuniform steady states in arrays of diffusively coupled reactors. The kinetics is given by the Lengyel-Epstein model, and we derive the conditions for Turing instabilities in all arrays of two, three, and four reactors
Additional details
Identifiers
- DOI
- 10.1016/j.physleta.2004.06.044;
- PII
- S0375-9601(04)00856-4;
Publishing Information
- Journal Title
- Physics Letters. A
- Journal Volume
- 328
- Journal Issue
- 6
- Journal Page Range
- p. 444-451
- ISSN
- 0375-9601
- CODEN
- PYLAAG
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36051874
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DIFFUSION; INSTABILITY; KINETICS; MATHEMATICAL MODELS; NETWORK ANALYSIS; NONLINEAR PROBLEMS; TOPOLOGY
- Descriptors DEC
- MATHEMATICS
Optional Information
- Copyright
- Copyright (c) 2004 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.