Mathematics

Computing

The logistic map (and its continuous counterpart, the logistic equation) are well studied models in population biology. Its formula is very simple:

**x(n+1) = mu * x(n) * (1 - x(n))**

where x is the relative size of the population (ie. it varies between 0 and 1) and mu is the growth coefficient.

- Astrophysics
- Logistic map - continuous vs. discrete.
- A "Fly-by" of the logistic map.
**DANGER 64K ANIMATED IMAGE** - Pseudo-phase spaces. Includes a pseudo-phase space of the logistic map for mu = 3.995
- Graphs of pseudo-phase spaces Includes a graph of a pseudo-phase space of the logistic map for mu = 3.995
- Sounds of the logistic map. Some number streams from the logistic map converted into note streams.
- Modelling responses to uncertainty. Part of my M.Sc. thesis. The model compares the responses of selfish and mutualistic populations to different external environments. The logistic map is used to the model the environments as it can easily be modified between its stable, periodic and chaotic areas.

Links at other sites...

- GRAPHICAL ITERATION OF LOGISTIC MAP
- Applications of the Logistic Map
- The Logistic Map
- Google Search: "Logistic map"
- Phase Control Maps

Created 10/12/99

Last modified 1/8/00