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DC Field | Value | Language |
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dc.contributor.author | Winter, M | - |
dc.contributor.author | Wei, J | - |
dc.coverage.spatial | 34 | en |
dc.date.accessioned | 2007-01-22T14:44:53Z | - |
dc.date.available | 2007-01-22T14:44:53Z | - |
dc.date.issued | 2001 | - |
dc.identifier.citation | Winter, 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.uri | http://bura.brunel.ac.uk/handle/2438/563 | - |
dc.description.abstract | We 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.extent | 251905 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | International Press | en |
dc.subject | Pattern Formation, Stability, | en |
dc.subject | Point-Condensations, Reaction-Diffusion System, Catalytic Network, Hypercycle | en |
dc.title | On a Hypercycle System with Nonlinear Rate | en |
dc.type | Research Paper | en |
dc.identifier.doi | https://doi.org/10.4310/maa.2001.v8.n2.a4 | - |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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FullText.pdf | 246 kB | Adobe PDF | View/Open |
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