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Elliptic Umbilic Catastrophe

EllipticUmbilicCatastrophe

A catastrophe which can occur for three control factors and two behavior axes. The elliptical umbilic is catastrophe of codimension 3 that has the equation F(x,y,u,v,w)=x^3/3-xy^2+w(x^2+y^2)-ux-vy.

See also

Catastrophe Theory, Hyperbolic Umbilic Catastrophe

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References

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

Referenced on Wolfram|Alpha

Elliptic Umbilic Catastrophe

Cite this as:

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

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