This equation will change how you see the world

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Veritasium

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Shared January 29, 2020

The logistic map connects fluid convection, neuron firing, the Mandelbrot set and so much more. Fasthosts Techie Test competition is now closed! Learn more about Fasthosts here: https://www.fasthosts.co.uk/veritasium Code for interactives is available below...

Animations, coding, interactives in this video by Jonny Hyman 🙌
Try the code yourself: https://github.com/jonnyhyman/Chaos

References:
James Gleick, Chaos
Steven Strogatz, Nonlinear Dynamics and Chaos

May, R. Simple mathematical models with very complicated dynamics. Nature 261, 459–467 (1976). https://doi.org/10.1038/261459a0

Robert Shaw, The Dripping Faucet as a Model Chaotic System
https://archive.org/details/ShawRober...

Crevier DW, Meister M. Synchronous period-doubling in flicker vision of salamander and man.
J Neurophysiol. 1998 Apr;79(4):1869-78.

Bing Jia, Huaguang Gu, Li Li, Xiaoyan Zhao. Dynamics of period-doubling bifurcation to chaos in the spontaneous neural firing patterns Cogn Neurodyn (2012) 6:89–106 DOI 10.1007/s11571-011-9184-7

A Garfinkel, ML Spano, WL Ditto, JN Weiss. Controlling cardiac chaos
Science 28 Aug 1992: Vol. 257, Issue 5074, pp. 1230-1235 DOI: 10.1126/science.1519060

R. M. May, D. M. G. Wishart, J. Bray and R. L. Smith Chaos and the Dynamics of Biological Populations
Source: Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 413, No. 1844, Dynamical Chaos (Sep. 8, 1987), pp. 27-44

Chialvo, D., Gilmour Jr, R. & Jalife, J. Low dimensional chaos in cardiac tissue. Nature 343, 653–657 (1990). https://doi.org/10.1038/343653a0

Xujun Ye, Kenshi Sakai. A new modified resource budget model for nonlinear dynamics in citrus production. Chaos, Solitons and Fractals 87 (2016) 51–60

Libchaber, A. & Laroche, C. & Fauve, Stephan. (1982). Period doubling cascade in mercury, a quantitative measurement. http://dx.doi.org/10.1051/jphyslet:01.... 43. 10.1051/jphyslet:01982004307021100.

Special thanks to Patreon Supporters:
Alfred Wallace, Arjun Chakroborty, Bryan Baker, DALE HORNE, Donal Botkin, halyoav, James Knight, Jasper Xin, Joar Wandborg, Lee Redden, Lyvann Ferrusca, Michael Krugman, Pindex, Ron Neal, Sam Lutfi, Tige Thorman, Vincent

Special thanks to:
Henry Reich for feedback on earlier versions of this video
Raquel Nuno for enduring many earlier iterations (including parts she filmed that were replaced)
Dianna Cowern for title suggestions and saying earlier versions weren't good
Heather Zinn Brooks for feedback on an earlier version.


Music from:
https://epidemicsound.com "What We Discovered" "A Sound Foundation 1" "Seaweed" "Colored Spirals 4"

https://ve42.co/Artlist "Busy World" "Children of Mystery"


MAD MAXX

"Oh cool, the Mandelbrot-Set. I have seen that before."
turns Mandelbrot-Set in 3D
"What the ...?! That's illegal!"

2 weeks ago | [YT] | 12,025

LC 7INEO

I found this incredibly fascinating... but understood incredibly little.

1 week ago | [YT] | 1,012

Richard Benson

"We don't throw chaos at students"
Not sure where you went to school

1 week ago | [YT] | 281

yvng chrxst666

“ it’s this simple equation “ starts to write klingon

1 week ago | [YT] | 190

Jisper Plomp

6:41 "the *plotwist here..."
Proceeds to turn the plot

6 days ago | [YT] | 293

Austen Alexander

Me: struggles with elementary algebra
Verisatrium: Feigenbaum constant stays relative to the bifurcation diagram
Me: go on

2 weeks ago | [YT] | 6,802

TheMaddi96

Scientists in the rabbit experiment: "We used the chaos to destroy the chaos!"

4 days ago | [YT] | 111

Just a broke kpop stan

4.669: *exists

Me: ha 69 haha

1 week ago | [YT] | 170

LibertyMatrix

Nikola Tesla said, “If you wish to understand the Universe think of energy, frequency and vibration.“

2 days ago | [YT] | 5

J. Todd

So... basically one of us cracked the code to apparent "random chaos" in whatever code is running this computer simulation we're all living in.

1 week ago | [YT] | 293

Rosita Pochi24

Everyone here were gangsta till he turned the Mandelbrot-set 3D

2 weeks ago | [YT] | 1,765

jonathan denommee

my nose start bleeding while listening to this "Simple Equation"....

1 week ago | [YT] | 26

Ayden Shrib

This equation may change how I view the world, if I were smart enough to understand what the hell you’re saying.

1 week ago | [YT] | 49

Dwi Noval

I don't know what he is talking about but i do really enjoying watching.

1 week ago | [YT] | 197

Entity 01010101010110011110

This man wants me to learn about a universal constant in school and I can't even pass college precalculus.

1 week ago | [YT] | 45

Mason Williams

Me: I don't like math
'sees video '
Me: Math is so interesting

2 weeks ago | [YT] | 6,455

Gwyrrd

Veritassium: the answer to life the universe and everything, the Feigenbaum constant, 4.669... !
Reddit: nice.

4 days ago | [YT] | 22

Andrei Iusco

Someone should make a sculpture of this thing, will be cool af

3 days ago | [YT] | 5

Andrew W.

nobody:

aspect ratio: REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE!

4 days ago | [YT] | 73

Some kid

I'm glad Veritasium figured out how to reverse ageing it was like by the time the video ended he had more grey hair

3 days ago | [YT] | 3