# Feigenbaum's Scaling Law for the Logistic Map

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Mitchell Feigenbaum's one-term parameter scaling laws for the logistic map are

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Contributed by: Ki-Jung Moon (October 2013)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

More information on Feigenbaum's one-term parameter scaling laws can be found in [1–4].

References

[1] M. J. Feigenbaum, "Quantitative Universality for a Class of Non-Linear Transformations," *Journal of Statistical Physics*, 19, 1978 pp. 25–52.

[2] M. J. Feigenbaum, "The Universal Metric Properties of Nonlinear Transformations," *Journal of Statistical Physics*, 21, 1979 pp. 669–706.

[3] K.-J. Moon, "Reducible Expansions and Related Sharp Crossovers in Feigenbaum's Renormalization Field," *Chaos: An Interdisciplinary Journal of Nonlinear Science*, 18, 2008, 023104.

[4] K.-J. Moon, "Erratum: Reducible Expansions and Related Sharp Crossovers in Feigenbaum's Renormalization Field," *Chaos: An Interdisciplinary Journal of Nonlinear Science*, 20, 2010, 049902.

## Permanent Citation

"Feigenbaum's Scaling Law for the Logistic Map"

http://demonstrations.wolfram.com/FeigenbaumsScalingLawForTheLogisticMap/

Wolfram Demonstrations Project

Published: October 25 2013