About this Simulation

This interactive simulation models the logistic map, a foundational equation in chaos theory and nonlinear dynamics. Learners can adjust the growth rate parameter and observe how populations evolve over time, witnessing the transition from stable fixed points through periodic cycles to chaotic behaviour. Real-time visualization reveals the hidden structure within apparent randomness.

Learning objectives: Understand how iterative processes generate complex dynamics from simple equations | Recognize bifurcation points and the onset of chaos through parameter variation | Develop intuition about nonlinear systems and their sensitivity to initial conditions