for , where is the floor function. The natural invariant of the map is
Continued Fraction Map
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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 MapCite this as:
Weisstein, Eric W. "Continued Fraction Map." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ContinuedFractionMap.html