“Logistic map”: an analytical solution

S. Rabinovich, G. Berkolaiko, S. Buldyrev, A. Shehter and S. Havlin

Physica A: Statistical Mechanics and its Applications, 1995, vol. 218, issue 3, 457-460

Abstract: An analytical solution for the well-known quadratic recursion, the logistic map, is presented. Our derivation is based on the analogy between this recursion and a probabilistic problem that can be solved analytically. The solution is represented as a power of a transfer matrix. The proposed method allows to solve a more general quadratic mapping.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:218:y:1995:i:3:p:457-460

DOI: 10.1016/0378-4371(95)00163-2

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