On a Two Dimensional Reaction-Diffusion  System with Hypercyclical Structure

Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/561

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DC Field	Value	Language
dc.contributor.author	Winter, M	-
dc.contributor.author	Wei, J	-
dc.date.accessioned	2007-01-22T14:34:30Z	-
dc.date.available	2007-01-22T14:34:30Z	-
dc.date.issued	2000	-
dc.identifier.citation	Nonlinearity 13 (2000), 2005-2030	en
dc.identifier.uri	http://bura.brunel.ac.uk/handle/2438/561	-
dc.description.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.	en
dc.format.extent	262012 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	-
dc.publisher	IOP	en
dc.subject	Pattern Formation, Stability,	en
dc.subject	Point-Condensations, Reaction-Diffusion System, Catalytic Network, Hypercycle	en
dc.title	On a Two Dimensional Reaction-Diffusion System with Hypercyclical Structure	en
dc.type	Research Paper	en
Appears in Collections:	Dept of Mathematics Research Papers Mathematical Sciences

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