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Linear stability of delayed reaction–diffusion systems
- Source :
- Computers & Mathematics with Applications. 73:226-232
- Publication Year :
- 2017
- Publisher :
- Elsevier BV, 2017.
-
Abstract
- A common feature of pattern formation in both space and time is the destabilization of a stable equilibrium solution of an ordinary differential equation by adding diffusion or delay, or both. Here we study linear stability of general reactiondiffusion systems with off-diagonal time delays. We show that a delay-stable system cannot be destabilized by diffusion, and that a diffusion stable system is also stable with respect to delay, if the diffusion is sufficiently fast. A system with direct negative feedback which is strongly stable with respect to diffusion can be destabilized by off-diagonal delay.
- Subjects :
- Time delays
Spacetime
010102 general mathematics
Mathematical analysis
0211 other engineering and technologies
Pattern formation
021107 urban & regional planning
02 engineering and technology
01 natural sciences
Stable system
Computational Mathematics
Computational Theory and Mathematics
Control theory
Modeling and Simulation
Ordinary differential equation
Negative feedback
0101 mathematics
Diffusion (business)
Mathematics
Linear stability
Subjects
Details
- ISSN :
- 08981221
- Volume :
- 73
- Database :
- OpenAIRE
- Journal :
- Computers & Mathematics with Applications
- Accession number :
- edsair.doi...........04037937e2935644ebabecf5dda74ba4