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Schwarzian Derivative


The Schwarzian derivative is defined by

 D_(Schwarzian)=(f^(''')(x))/(f^'(x))-3/2[(f^('')(x))/(f^'(x))]^2.

The Feigenbaum constant is universal for one-dimensional maps if its Schwarzian derivative is negative in the bounded interval (Tabor 1989, p. 220).


See also

Feigenbaum Constant

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References

Tabor, M. Chaos and Integrability in Nonlinear Dynamics: An Introduction. New York: Wiley, 1989.

Referenced on Wolfram|Alpha

Schwarzian Derivative

Cite this as:

Weisstein, Eric W. "Schwarzian Derivative." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SchwarzianDerivative.html

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