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Relationship between Mandelbrot set & Logistic map

When I first saw the comparison between the Mandelbrot set and the Logistic map, I was fascinated and it motivated me to investigate the “not so obvious” but necessary relationship between the Mandelbrot set and the Logistic map. #mandelbrot #logistic #bifurcation Some of the math animations used in this video was created using Manim - https://www.manim.community/ ------------------------------------------ References: ------------------------------------------ A Population of Rabbits and the Mandelbrot Set - https://tomrocksmaths.files.wordpress... ------------------------------------------ Beyond the Mandelbrot set, an intro to holomorphic dynamics (3Blue1Brown - Youtube) -    • Beyond the Mandelbrot set, an intro t...   ------------------------------------------ Logistic map (Wikipedia) - https://en.wikipedia.org/wiki/Logisti... ------------------------------------------ Mandelbrot-bifurcation (GeoGebra) - https://www.geogebra.org/m/m8kd5bvb ------------------------------------------ Mandelbrot set (Wikipedia) - https://en.wikipedia.org/wiki/Mandelb... ------------------------------------------ The boundary of the logistic map - https://blbadger.github.io/logistic-b... ------------------------------------------ The Mandelbrot Set (Numberphile - Youtube) -    • The Mandelbrot Set - Numberphile   ------------------------------------------ The Mandelbrot Set and Julia Sets - https://users.math.yale.edu/public_ht... ------------------------------------------ This equation will change how you see the world (Veritasium - Youtube) -    • This equation will change how you see...   ------------------------------------------ What's so special about the Mandelbrot Set? (Numberphile - Youtube) -    • What's so special about the Mandelbro...   ------------------------------------------ ------------------------------------------ Music used in this video: ------------------------------------------ "Arthur Vyncke - A few jumps away" is under a Creative Commons (CC BY-SA 3.0) license.   / arthurvost   Music promoted by BreakingCopyright: https://bit.ly/a-few-jumps-song ------------------------------------------ Daystar - Shangri-La:    • ✨샛별 - 무릉도원(piano ver.)✨(Royalty Free ...   Free to use music by    / @starryattic   ------------------------------------------ Lukrembo - Onion:    • (no copyright music) lofi type beat “...   Free to use music by https://freetousemusic.com ------------------------------------------