Bi-periodicity in an isothermal autocatalytic reaction-diffusion system
β Scribed by Christian Kaas-Petersen
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 836 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0377-0427
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π SIMILAR VOLUMES
Stability and bifurcation theory have been used to organize a computational study of the dynamics of a three-variable isothermal reaction system with quadratic kinetics. This system exhibits a cascade of pcrioddoubling bifurcations over decreasing intervals of parameter changes. This simple example
In a recent paper, Gray and Scott have considered the autocatalytic reactions: A + B: rate 0: ab", n = 0, I or 2 where II and b are the concentrations of A and B respectively. Interest centred mainly on irreversible systems but for which the catalytic species was not indefinitely stable, decaying in
The author studies the periodic time-dependent quasimonotone reactiondiffusion systems in a proper Banach space satisfying (i) βF i /βu j β₯ 0 for all 1 β€ i = j β€ n; (ii) F t x u is periodic in t of period Ο > 0; and (iii) F i t x Ξ±u β₯ Ξ±F i t x u for all Ξ± β 0 1 and i = 1 2 n. It is proved that ever