"Logistic map": an analytical solution

S. Rabinovich; G. Berkolaiko; S. Buldyrev; A. Shehter; S. Havlin

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

"Logistic map": an analytical solution

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

Department of Physics - at Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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.

Original language	English
Pages (from-to)	457-460
Number of pages	4
Journal	Physica A: Statistical Mechanics and its Applications
Volume	218
Issue number	3-4
DOIs	https://doi.org/10.1016/0378-4371(95)00163-2
State	Published - 1 Sep 1995

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10.1016/0378-4371(95)00163-2

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title = "{"}Logistic map{"}: an analytical solution",

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.",

author = "S. Rabinovich and G. Berkolaiko and S. Buldyrev and A. Shehter and S. Havlin",

year = "1995",

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AU - Berkolaiko, G.

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AU - Shehter, A.

AU - Havlin, S.

PY - 1995/9/1

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"Logistic map": an analytical solution

Abstract

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