Feigenbaum constant

The Feigenbaum constant describes a universal pattern in how chaotic systems, such as certain mathematical functions, transition from orderly behavior to chaos. Specifically, it measures the rate at which these systems undergo period-doubling bifurcations—points where a stable pattern splits into a pattern with twice as many cycles before becoming unpredictable. This constant is approximately 4.669 and appears in many different systems, indicating a common underlying structure in how chaos emerges. It helps scientists understand how complex, unpredictable behavior develops from simple rules across various fields.