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Details van artikel 85 van 114 gevonden artikelen
| Titel: |
Pattern formation in a cubic autocatalator model: the effect of the uncatalyzed reaction |
| Auteur: |
Hill, R. Merkin, J. H. Needham, D. J. |
| Verschenen in: |
Dynamical systems |
| Paginering: | Jaargang 10 (1995) nr. 1 pagina's 49-63 |
| Jaar: |
1995 |
| Inhoud: |
The bifurcation from the uniform state to non-homogeneous solutions, either steady patterns or time-dependent standing waves, is considered in a reaction- diffusion system based on the cubic autocatalator kinetics with the extra uncatalyzed reaction producing the autocatalyst B directly from reactant A included. It is shown that if this extra reaction step is sufficiently strong, the uniform state is stable to all perturbations (i.e. for [image omitted] where r is a measure of the strength of this step). For [image omitted] bifurcations to time-dependent standing waves are possible, and for [image omitted] bifurcations to steady non-humogeneous solutions are also possible. These non-homogeneous solutions are followed from their bifurcation points by a spectral method |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 85 van 114 gevonden artikelen
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