logistic map

The logistic map is a mathematical expression used to model how populations grow over time, factoring in resource limitations. It shows how a population can stabilize at a certain size, oscillate, or become unpredictable and chaotic depending on growth conditions. By repeatedly applying a simple formula, it reveals complex behaviors from basic rules, illustrating how small changes in growth rate can lead to drastically different outcomes. This model helps scientists understand dynamics in ecosystems, economics, and even systems like weather or neural activity.