Satnoianu, R. A. and Maini, P. K. and Menzinger, M. (2001) Parameter domains for Turing and stationary flowdistributed waves: I. The influence of nonlinearity. Physica D, 160 (12). pp. 79102.

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Abstract
new type of instability in coupled reactiondiffusionadvection systems is analysed in a onedimensional domain. This instability, arising due to the combined action of flow and diffusion, creates spatially periodic stationary waves termed flow and diffusiondistributed 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 flowdistributed oscillations (FDO). Nonlinear bifurcation analysis and numerical simulations in onedimensional 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.
Item Type:  Article 

Uncontrolled Keywords:  Flowdistributed structures (FDS); Flowdistributed oscillations (FDO); Differentialflow instability (DIFI); Turing instability; Stationary spaceperiodic patterns; Hopf instability; Quadratic and cubic autocatalysis 
Subjects:  A  C > Biology and other natural sciences 
Research Groups:  Centre for Mathematical Biology 
ID Code:  403 
Deposited By:  Philip Maini 
Deposited On:  20 Nov 2006 
Last Modified:  29 May 2015 18:21 
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