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).

References

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