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Butterfly Catastrophe

\begin{figure}\begin{center}\BoxedEPSF{ButterflyCatastrophe.epsf scaled 700}\end{center}\end{figure}

A Catastrophe which can occur for four control factors and one behavior axis. The equations

$\displaystyle x$ $\textstyle =$ $\displaystyle c(8at^3+24t^5)$  
$\displaystyle y$ $\textstyle =$ $\displaystyle c(-6at^2-15t^4)$  

display such a catastrophe (von Seggern 1993).


von Seggern, D. CRC Standard Curves and Surfaces. Boca Raton, FL: CRC Press, p. 94, 1993.

© 1996-9 Eric W. Weisstein