Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/563
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dc.contributor.authorWinter, M-
dc.contributor.authorWei, J-
dc.coverage.spatial34en
dc.date.accessioned2007-01-22T14:44:53Z-
dc.date.available2007-01-22T14:44:53Z-
dc.date.issued2001-
dc.identifier.citationWinter, M. and Wei, J. (2001) 'On a Hypercycle System with Nonlinear Rate', Methods and Applications of Analysis, 8(2), pp. 257-278. doi:10.4310/maa.2001.v8.n2.a4.en
dc.identifier.urihttp://bura.brunel.ac.uk/handle/2438/563-
dc.description.abstractWe study an (N+1)-hypercyclical reaction-diffusion system with nonlinear reaction rate n. It is shown that there exists a critical threshold N_0 such that for N\leq N_0 the system is stable while for N> N_0 it becomes unstable. It is also shown that for large reaction rate n, N_0 remains a constant: in fact for n \geq n_0 \sim 3.35, N_0=5 and for n < n_0 \sim 3.35, N_0=4. Some more general reaction-diffusion systems of N+1 equations are also considered.en
dc.format.extent251905 bytes-
dc.format.mimetypeapplication/pdf-
dc.language.isoen-
dc.publisherInternational Pressen
dc.subjectPattern Formation, Stability,en
dc.subjectPoint-Condensations, Reaction-Diffusion System, Catalytic Network, Hypercycleen
dc.titleOn a Hypercycle System with Nonlinear Rateen
dc.typeResearch Paperen
dc.identifier.doihttps://doi.org/10.4310/maa.2001.v8.n2.a4-
Appears in Collections:Dept of Mathematics Research Papers
Mathematical Sciences

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