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Topological bifurcation for the double cusp polynomial

Published online by Cambridge University Press:  24 October 2008

A. N. Godwin
A. N. Godwin
Affiliation:
Lanchester Polytechnic, Rugby
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Extract

In his work on elementary catastrophes Zeeman(1) has considered what he has named as the double cusp catastrophe. This catastrophe is defined by the unfolding of the two variable polynomial x4 + y4. Using Mather's results (2) on stability of singular germs of C∞ maps we can find an expression for the unfolding. The eight dimensional unfolding can then be considered as a polynomial in two variables with eight parameters.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 77 , Issue 2 , March 1975 , pp. 293 - 312
Copyright
Copyright © Cambridge Philosophical Society 1975

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References

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