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A higher catastrophe machine

Published online by Cambridge University Press:  24 October 2008

A. E. R. Woodcock  and
Tim Poston
A. E. R. Woodcock
Affiliation:
IBM Thomas J. Waston Reseacrch Centre, Yorktown Heights, New York 10598 U.S.A.
Tim Poston
Affiliation:
University of Rochester, Department of Mathematics, Rochester, New York 14627, U.S.A.
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Abstract

An elaborated version of Zeeman's Catastrophe Machine (1), which physically illustrates the butterfly catastrophe, is described and analyzed.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 79 , Issue 2 , March 1976 , pp. 343 - 350
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

REFERENCES

(1)Poston, T. and Woodcock, A. E. R.Zeeman's Catastrophe Machine. Proc. Camb. Philos. Soc., 74 (1973), 217–226.CrossRefGoogle Scholar
(2)Zeeman, E. C. A Catastrophe Machine. In Towards a Theoretical Biology, vol. 4 (Ed. by Waddington, C. H., Edinburgh University Press), (1972), 276–282.Google Scholar
(3)Woodcock, A. E. R. and Poston, T. A Geometrical study of the elementary catastrophes. Springer-Verlag Lecture Notes in Mathematics, 373 (Berlin, 1974).Google Scholar
(4)Barit, W. Personal communication.Google Scholar
(5)Dubois, Jean-Guy et Dufouiz, Jean-Paul, . La theorie des catastrophes. II. Dynamiques gradients à une variable d'état. Ann. Inst. H. Poincaré, XX (1974), 135–151.Google Scholar
(6)Zeeman, E. C. The classification of elementary catastrophes of codimension ≤, University of Warwick Lecture Notes (written and revised by D. J. A. Trotman).Google Scholar
(7)Dubois, Jean-Guy et Dufour, Jean-Paul, . La théorie des catastrophes. I. La machine à catastrophes. Ann. Inst. H. Poincaré, XX (1974), 113–134.Google Scholar
(8)Thom, R.Stabilité structurelle et morphogenese (Benjamin, Reading, 1972).Google Scholar
(9)Thompson, J. M. T. and Hunt, G. W.Toward a unified bifurcation theory. J. App. Math & Phys. (ZAMP), 26 (1975).Google Scholar