Continued Fraction Map

Download Wolfram Notebook

ContinuedFractionMap

CFReIm

CFContours

A continued fraction map is defined by

for , where is the floor function. The natural invariant of the map is

Explore with Wolfram|Alpha

More things to try:

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 Resource. https://mathworld.wolfram.com/ContinuedFractionMap.html

Subject classifications