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Author Topic: LogisticMap  (Read 4057 times)
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Fu-Kwun Hwang
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on: June 13, 2010, 02:13:14 pm » posted from:Taipei,T\'ai-pei,Taiwan

The logistic map
The logistic equation was first proposed by Robert May as a simple model of population dynamics. This equation can be written as a one-dimensional difference equation that transforms the population in one generation, xn, into a succeeding generation, xn+1.
xn+1 = 4 r xn (1-xn)
Because the population is scaled so that the maximum value is one, the domain of x falls on the interval [0; 1].
The behavior of the logistic equation depends on the value of the growth parameter, r. If the growth parameter is less than a critical value r<0.75.., then x approaches a stable fixed value. Above this value for r, the behavior of x begins to change. First the population begins to oscillate between two values. If r increases further, then x oscillates between four values. Then eight values. This doubling ends when r > 0.8924864... after which almost any x value is possible.
Author : Francisco Esquembre and Wolfgang Christian.
Text and original idea from the Open Source Physics project manual
Date : July 2003

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Reply #1 on: December 11, 2019, 10:22:23 am » posted from:,,Satellite Provider

I know it's too hard to understand. But the knowledge in the body.
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