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Parabolic Umbilic Catastrophe


ParabolicUmbCatastrophe

A catastrophe which can occur for four control factors and two behavior axes. The parabolic umbilic catastrophe is given by the unfolding F(x,y,w,t,u,v)=y^4+x^2y+ux^2+vy^2+wx+ty of f(x,y)=y^4+x^2y.


See also

Catastrophe Theory

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References

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

Referenced on Wolfram|Alpha

Parabolic Umbilic Catastrophe

Cite this as:

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

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