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Cusp Map

\begin{figure}\begin{center}\BoxedEPSF{CuspMap.epsf scaled 1000}\end{center}\end{figure}

The function

\begin{displaymath}
f(x)=1-2\vert x\vert^{1/2}
\end{displaymath}

for $x\in[-1,1]$. The Invariant Density is

\begin{displaymath}
\rho(y)={\textstyle{1\over 2}}(1-y).
\end{displaymath}


References

Beck, C. and Schlögl, F. Thermodynamics of Chaotic Systems. Cambridge, England: Cambridge University Press, p. 195, 1995.




© 1996-9 Eric W. Weisstein
1999-05-25