- Word
logistic map
- Image
- Description
The logistic map is the simple recurrence relation: x_(n + 1) = x_n * R * ( 1 - x_n ), which produces chaotic behavior under certain parameters .
This map is a version of Verhulst's logistic model of population growth, where x_n represents the population (as a fraction of carrying capacity) at time n, and R is the growth rate. In order to keep x_n between 0 and 1, R is restricted to be between 0 and 4.
- Topics
- Nonlinear Dynamics, Chaos, Dynamical Systems, Statistical Physics
- Difficulty
- 1