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Discrete logistic model

The repository for logistic map application in Matlab.

Table of contents

General info

The discrete logistic model often is cited as an archetypal example of how complex, chaotic behaviour can arise from very simple non-linear dynamical equations. The equation was popularized in a 1976 paper by the biologist Robert May, in part as a discrete-time demographic model analogous to the logistic equation first created by Pierre François Verhulst. Mathematically, the logistic map is written as

xn+1=axn(1-xn),

where xn is a number between zero and one that represents the ratio of existing population to the maximum possible population. The values of interest for the parameter a are those in the interval [0,4].

Technologies used

  • Matlab

Status

Project is: finished