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Cusp Catastrophe

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CuspCatastrophe

A cusp catastrophe is a catastrophe which can occur for two control factors and one behavior axis. The cusp catastrophe is the universal unfolding of the singularity f(x)=x^4 and has the equation F(x,u,v)=x^4+ux^2+vx. The equation y=x^(2/3) also has a cusp catastrophe.

See also

Catastrophe Theory

Portions of this entry contributed by Werner Sanns

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References

Sanns, W. Catastrophe Theory with Mathematica: A Geometric Approach. Germany: DAV, 2000.von Seggern, D. CRC Standard Curves and Surfaces. Boca Raton, FL: CRC Press, p. 28, 1993.

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Cusp Catastrophe

Cite this as:

Sanns, Werner and Weisstein, Eric W. "Cusp Catastrophe." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CuspCatastrophe.html

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