Feigenbaum constants are two mathematical constants, denoted as \(\delta\) and \(\alpha\), that arise in the study of bifurcations in chaotic systems. They describe the ratio of successive bifurcation intervals and the limiting value of the ratio of the widths of these intervals as a system transitions from periodic to chaotic behavior. These constants are particularly significant in understanding the behavior of systems such as the logistic map, which also connects to well-known chaotic systems like the Lorenz attractor, Rössler attractor, and Hénon map.
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