The Schwarzian derivative is defined by
![D_(Schwarzian)=(f^(''')(x))/(f^'(x))-3/2[(f^('')(x))/(f^'(x))]^2.](/images/equations/SchwarzianDerivative/NumberedEquation1.svg) |
The Feigenbaum constant is universal for one-dimensional maps if its Schwarzian derivative is negative in the bounded interval (Tabor 1989, p. 220).
Schwarzian Derivative
See also
Feigenbaum ConstantExplore with Wolfram|Alpha
References
Tabor, M. Chaos and Integrability in Nonlinear Dynamics: An Introduction. New York: Wiley, 1989.Referenced on Wolfram|Alpha
Schwarzian DerivativeCite this as:
Weisstein, Eric W. "Schwarzian Derivative." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SchwarzianDerivative.html