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Catastrophe theory and equations of state: conditions for a butterfly singularity

Published online by Cambridge University Press:  24 October 2008

Ian N. Stewart
Ian N. Stewart
Affiliation:
University of Warwick
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Abstract

Parametrized equations of state of the form

where s = (s1, … sr) ∈ Rr, x ∈ R, and F is smooth, are common in applied science. Often there exist multiple states x for given s, which may bifurcate as s varies.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 88 , Issue 3 , November 1980 , pp. 429 - 449
Copyright
Copyright © Cambridge Philosophical Society 1980

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References

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