Parameter space analysis, pattern sensitivity and model comparison for Turing and stationary flow-distributed waves (FDS)

Document Type

Article

Publication Date

12-1-2001

Abstract

A new type of instability in coupled reaction-diffusion-advection systems is analysed in a one-dimensional domain. This instability, arising due to the combined action of flow and diffusion, creates spatially periodic stationary waves termed flow and diffusion-distributed structures (FDS). Here we show, via linear stability analysis, that FDS are predicted in a considerably wider domain and are more robust (in the parameter domain) than the classical Turing instability patterns. FDS also represent a natural extension of the recently discovered flow-distributed oscillations (FDO). Nonlinear bifurcation analysis and numerical simulations in one-dimensional spatial domains show that FDS also have much richer solution behaviour than Turing structures. In the framework presented here Turing structures can be viewed as a particular instance of FDS. We conclude that FDS should be more easily obtainable in chemical systems than Turing (and FDO) structures and that they may play a potentially important role in biological pattern formation. © 2001 Elsevier Science B.V. All rights reserved.

Identifier

0035577177 (Scopus)

Publication Title

Physica D Nonlinear Phenomena

External Full Text Location

https://doi.org/10.1016/S0167-2789(01)00345-1

ISSN

01672789

First Page

79

Last Page

102

Issue

1-2

Volume

160

Grant

43-MMI 09782

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