Ikeda map

The Ikeda map is a mathematical model used to describe complex, chaotic systems—often in optics and physics—by representing how a point evolves over time based on its previous position. It uses a simple formula involving complex numbers and parameters that control the system's behavior. Small changes in these parameters can lead to predictable patterns or unpredictable, chaotic behavior. In essence, the Ikeda map helps scientists understand and visualize how certain systems can transition from order to chaos, highlighting sensitive dependence on initial conditions.