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http://bura.brunel.ac.uk/handle/2438/561
Title: | On a Two Dimensional Reaction-Diffusion System with Hypercyclical Structure |
Authors: | Winter, M Wei, J |
Keywords: | Pattern Formation, Stability,;Point-Condensations, Reaction-Diffusion System, Catalytic Network, Hypercycle |
Issue Date: | 2000 |
Publisher: | IOP |
Citation: | Nonlinearity 13 (2000), 2005-2030 |
Abstract: | We study a hypercyclical reaction-diffusion system which arises in the modeling of catalytic networks and describes the emerging of cluster states. We construct single cluster solutions in full two-dimensional space and then establish their stability or instability in terms of the number N of components. We provide a rigorous analysis around the single cluster solutions, which is new for systems of this kind. Our results show that as N increases, the system becomes unstable. |
URI: | http://bura.brunel.ac.uk/handle/2438/561 |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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