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Hyperbolic Umbilic Catastrophe


HyperbolicUmbCatastrophe

A catastrophe which can occur for three control factors and two behavior axes. The hyperbolic umbilic is the universal unfolding of the function germ f(x,y)=x^3+y^3. The codimension of f is 3, and therefore the universal unfolding F of f has three unfolding parameters.


See also

Catastrophe Theory, Elliptic Umbilic Catastrophe

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References

Sanns, W. Catastrophe Theory with Mathematica: A Geometric Approach. Germany: DAV, 2000.

Referenced on Wolfram|Alpha

Hyperbolic Umbilic Catastrophe

Cite this as:

Weisstein, Eric W. "Hyperbolic Umbilic Catastrophe." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HyperbolicUmbilicCatastrophe.html

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