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Continued Fraction Map


ContinuedFractionMap
CFReImAbs
Min Max
Re
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 f(x)=1/x-|_1/x_|

for x in [0,1], where |_x_| is the floor function. The natural invariant of the map is

 rho(y)=1/((1+y)ln2).

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References

Beck, C. and Schlögl, F. Thermodynamics of Chaotic Systems. Cambridge, England: Cambridge University Press, pp. 194-195, 1995.

Referenced on Wolfram|Alpha

Continued Fraction Map

Cite this as:

Weisstein, Eric W. "Continued Fraction Map." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ContinuedFractionMap.html

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