Feigenbaum's Constant

Feigenbaum's Constant is a mathematical constant that arises in the study of chaos theory, particularly in relation to how systems behave as they transition from order to chaos. It specifically describes the ratio at which the period-doubling bifurcations occur in certain dynamical systems, such as population models. This constant is approximately 4.669. It reveals a fascinating universal feature of chaotic systems, indicating that, regardless of the initial conditions, many systems behave similarly as they become chaotic, reflecting an underlying order in what appears to be randomness.