### Abstract

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 language | English |
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Pages (from-to) | 25-33 |

Number of pages | 9 |

Journal | Mathematical and Computer Modelling |

Volume | 15 |

Issue number | 11 |

DOIs | |

Publication status | Published - 1991 |

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## Cite this

Gray, B. F., Merkin, J. H., & Wake, G. C. (1991). Disjoint bifurcation diagrams in combustion systems.

*Mathematical and Computer Modelling*,*15*(11), 25-33. https://doi.org/10.1016/0895-7177(91)90103-E