Auto-similarité de l'ensemble de Mandelbrot près du point de Feigenbaum -1,401155 ; le facteur d'agrandissement d'un cycle au suivant est la constante 4,66920160910299067185320382…
Manifestation of chaos in population boom and bust. Centre: the bifurcation diagram with the bulbs of the
corresponding Mandelbrot set, showing identical periodicities.
Top row: Corresponding Julia sets as
boundary
between inner and outer basins highlighted by their level sets.
Right Period 2 Julia set by modified inverse iteration.
Bottom row. Dynamics by iterating y = f(x) and x = y. At 4.5 the domain fragments into a fractal Cantor set.
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