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On the structural stability of a simple pooled chemical system

✍ Scribed by J. H. Merkin; D. J. Needham; S. K. Scott

Publisher
Springer
Year
1987
Tongue
English
Weight
595 KB
Volume
21
Category
Article
ISSN
0022-0833

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✦ Synopsis

The effect of adding the uncatalysed reaction step to the cubic autocatalator in a closed system is examined under the pooled chemical approximation. The addition of this extra step has a dramatic effect on the overall reaction over the parameter range where, without this step, the pooled chemical approximation breaks down. It is found that, no matter how slow the uncatalysed reaction, the pooled chemical approximation now remains valid throughout. There is a parameter range where there is oscillatory behaviour, these oscillations arising from points of Hopf bifurcation.

πŸ“œ SIMILAR VOLUMES

On the stability of stochastic chemical
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✍ Goodarz Ahmadi; A.M. Morshedi πŸ“‚ Article πŸ“… 1978 πŸ› Elsevier Science 🌐 English βš– 539 KB

The stability of stochastic chemical systems is considered. The definitions of almost sure stability and mean square stability and the corresponding stability theorems are presented and discussed. Examples concerning the stability of a two tank water heating system and a well-stirred reactor tank wi