Analytical solution of the logistic equation

被引：3

作者：

Rabinovich, S

Berkolaiko, G

Buldyrev, S

Shehter, A

Havlin, S

机构：

[1] VORONEZH STATE UNIV,DEPT MATH,VORONEZH 394693,RUSSIA

[2] BOSTON UNIV,DEPT PHYS,BOSTON,MA 02215

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1997年 / 7卷 / 04期

关键词：

D O I：

10.1142/S0218127497000625

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An analytical solution for the well-known quadratic recursion, also known as the logistic map, is presented. Our derivation makes use of the analogy between this equation and Galton-Watson processes. The latter can be treated in a linear way using the transfer matrix technique. The solution is represented as a power of an appropriate transfer matrix.

引用

页码：837 / 838

页数：2

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