Disjoint bifurcation diagrams in combustion systems

B. F. Gray*, J. H. Merkin, G. C. Wake

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)


It is shown that the classical non-dimensionalisation of many simple combusting systems is sufficiently nonlinear to conceal some of the differences in behaviour shown when different bifurcation parameters are varied quasi-statically to produce bifurcation diagrams. Variations of ambient or feed temperature, in particular, can produce a bifurcation diagram where the upper stable state is on a branch which is disjoint from the rest of the diagram, indicating that the combustion state cannot be extinguished by lowering this temperature to any physically attainable level.

Original languageEnglish
Pages (from-to)25-33
Number of pages9
JournalMathematical and Computer Modelling
Issue number11
Publication statusPublished - 1991

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