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Schwarzian Derivative

The Schwarzian derivative is defined by

D_{\rm Schwarzian} \equiv {f'''(x)\over f'(x)} -{3\over 2}\left[{f''(x)\over f'(x)}\right]^2.

The Feigenbaum Constant is universal for 1-D Maps if its Schwarzian derivative is Negative in the bounded interval (Tabor 1989, p. 220).

See also Feigenbaum Constant


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

© 1996-9 Eric W. Weisstein