This equation will change how you see the world (the logistic map)

  दृश्य 10,031,690

Veritasium

साल पहले

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: www.fasthosts.co.uk/veritasium Code for interactives is available below...
Animations, coding, interactives in this video by Jonny Hyman 🙌
Try the code yourself: 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). doi.org/10.1038/261459a0
Robert Shaw, The Dripping Faucet as a Model Chaotic System
archive.org/details/ShawRobertDrippingFaucetAsAModelChaoticSystem1984_201811/mode/2up
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). 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. dx.doi.org/10.1051/jphyslet:01982004307021100. 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:
epidemicsound.com "What We Discovered" "A Sound Foundation 1" "Seaweed" "Colored Spirals 4"
ve42.co/Artlist "Busy World" "Children of Mystery"

टिप्पणियाँ
Jesus Reynoso
Jesus Reynoso घंटे पहले
Why if you have a bunch a gay rabbits?
Man of Morbihan
Man of Morbihan घंटे पहले
I don't understand what he is saying but it sounds very interesting....
James Paddock
James Paddock 10 घंटे पहले
0:00 *eating rabbit stew on a fractal*
Jeff M
Jeff M 19 घंटे पहले
Universal constants are defined in the simulation parameters.
Eric Newsom
Eric Newsom 23 घंटे पहले
This explains mosquitoes on the Texas gulf coast.
Cian Foley
Cian Foley दिन पहले
Amazing videos.
Multi Da
Multi Da दिन पहले
Still want to return to monkey?
Sharim Almaas
Sharim Almaas दिन पहले
Can anyone please tell me which app he is using to plot those beautiful graphs??🥺😭
iamdope
iamdope दिन पहले
Which software he used to illustrate graph? Any idea?
FractAlkemist
FractAlkemist दिन पहले
Interesting how it can "predict" population flux - can this also apply to Covid, the multiple "waves" we get??
Johan Du Toit
Johan Du Toit 2 दिन पहले
I need to get in contact with you. Got something pretty amazing to share. Thanks for this video!
Iván
Iván 2 दिन पहले
Now my mind has fallen into a fascinating chaos
Tom Russell
Tom Russell 2 दिन पहले
kudos to you and your curiosity
Nenad ИС XC Shuput
Nenad ИС XC Shuput 2 दिन पहले
Not even this guy knows exactly what he is saying 🤣🤣
charlie3k
charlie3k 2 दिन पहले
i watched this high and i feel like my mind entered a new dimension
Fairyplay
Fairyplay 2 दिन पहले
This video has become really relevant with covid lol (at least the R part at the beginning)
Ray Skudlark
Ray Skudlark 2 दिन पहले
I find it odd that ever since I can remember I have been trying to figure out this pattern 2 4 8 16 32 64 128 256 512 1024 as high as I could reach. And now to be learning all of this much later in life it really makes you wonder!? Thanks for the content man I have been watching and learning with you for I think what 8 or 9 years now and you have been a constant reminder I'm not the only one kicking these ideas around. I have been poor my whole life and never had a chance to apply my brain the way I wanted to. And being in low income areas it hard to have these kind of conversations with anyone. So thanks for doing this man really you and Micheal Vsauce I only hope the best to you guys.
C Harris
C Harris 2 दिन पहले
Finally the math that I already forgotten since high school looks interesting
Mathew Jackson
Mathew Jackson 2 दिन पहले
So I'm on the toilet, when you push more, more flow will come out but not all at once and evenly, then eventually your muscles can't take the stress and less flow will come out. Then your muscles recharge and you go at it again maybe harder or softer... Equation works in everything
Omid Khoshravan Azar
Omid Khoshravan Azar 2 दिन पहले
I don’t know why but this whole video felt like an unskippable ad
Maulau Craw
Maulau Craw 2 दिन पहले
Reverse this connection(selectablly applythe inverse function) and you have a fantastic modulus you can use to chart on an overlay the explicit proficiency to levels of implicit practicality of the teacher-student relevancy thereof.
bumfartbumfart2
bumfartbumfart2 3 दिन पहले
i hope you have won some awards for your films
The Zach
The Zach 3 दिन पहले
I think this graph also represents the evolution of human intelligence. 👉Think about this: The same brain that created the theory of evolution had to first evolve itself.
Mahir Balushi
Mahir Balushi 3 दिन पहले
Thanks
Daniel Edwards
Daniel Edwards 3 दिन पहले
Whaaaaaaaaaaatttt
Brian Kleinschmidt
Brian Kleinschmidt 3 दिन पहले
I love watching Mandelbrot renderings. That graphic just blew my mind. Beauty has a measure - math itself.
Lion Deluxe
Lion Deluxe 3 दिन पहले
This video made me obsessed. I didn’t sleep last night. This morning I went to my core editor and made a Mandelbrot’s Set visualizer and I watched this video for a second time. I now want to make a logistic map visualizer. Thank you Veritasium.
mt2mgames
mt2mgames 3 दिन पहले
this video is horrible. You keep conflating "the population" with "the percentage of the maximum possible population"
Marre
Marre 3 दिन पहले
16:55 excited about chaos *HERESY* call the inquisiton
Ruderaksha Karwa
Ruderaksha Karwa 3 दिन पहले
Showerthought: every civilization follows the same pattern , I would say we crossed the curve somewhere between 70s-90s
Drawing Masterclass
Drawing Masterclass 3 दिन पहले
So much complexity and we still don't believe there is God.
Shawn Bechard
Shawn Bechard 3 दिन पहले
I keep hearing predictions that human populations will decline, but I don't think it is going to be anywhere near as soon as they think. We have been rising since the Black Plague supposedly.
Nad G
Nad G 4 दिन पहले
I LOVED this topic! It's insane! I knew that Mandelbrot set was pretty particular on its own but this! I want to know more
Ish Kabibble
Ish Kabibble 4 दिन पहले
This is amazing! I'm familiar with the Mandelbrot set from decades ago, but is that 3D z-axis section a new discovery?
UhOhMeMeBiggestBoy
UhOhMeMeBiggestBoy 4 दिन पहले
Look at me just 16 and finding out about this instead of 32 welp anyway I have to go troubleshoot my brain
Xandea Galleta
Xandea Galleta 4 दिन पहले
I hurt myself in confusion. :(
Dodd Rougeau
Dodd Rougeau 4 दिन पहले
Spherical trigonometry will prove the Earth is flat. You haven't got the balls to research that truth.
R Doody
R Doody 4 दिन पहले
An application of math. Frustrating part of most math classes is the lack of application.
Leandro Placencia
Leandro Placencia 4 दिन पहले
19:39 10^10^100 Googolplex
Leandro Placencia
Leandro Placencia 4 दिन पहले
10^10^100 Googolplex
Rotciv Inoccic
Rotciv Inoccic 4 दिन पहले
BANG! .. My brain feels much better...
Netemp Witemp
Netemp Witemp 5 दिन पहले
It's the same about the human population. And it seems like we're at the peek right now and going down. That constant is like the pi of fractals
deck monkey
deck monkey 5 दिन पहले
School only teaches you the minimum you need to start the next grade. It doesn't teach you to think or be intelligent and never will. Look at how fast kids learn until they start school and then are held back from learning at the same pace by being forced to do it "the way I tell you".
Jason Brunhard
Jason Brunhard 5 दिन पहले
I want to thank you for your channel honestly. I rarely ever leave comments, but I am so IMPRESSED AND APPRECIATIVE for your work. You are bringing science out to the public forum so we, as a population, can engage in science. Science needs funding. It is what it is, and the content you provide is structured in a way for the general public can understand the unique and awe-inspiring physics that this universe has. FROM MY HEART THANK YOU FOR DOING YOUR BEST TO HELP THE HUMAN RACE EVOLVE.
The Rodestarr
The Rodestarr 5 दिन पहले
Holy hell. If they me a little about chaos theory in school I swear I would have been a mathematician by now.
ich
ich 5 दिन पहले
Which software did he use for plotting his graphs? 3:45
Naz Fride
Naz Fride 5 दिन पहले
Amazing. Thenks for the outstanding explanation of a pretty complex subject (for lay people)!
Subhadeep Das
Subhadeep Das 5 दिन पहले
If everyone will become vegetarian, there is no hunting or poaching and no disasters then we can find the date of extinction of a specific species 😯😯😯😯😯😯. This is mind blowing
oh no
oh no 2 दिन पहले
this has nothing to do with vegetarians??
Simranjeet Singh
Simranjeet Singh 5 दिन पहले
Your calculation is wrong
Ssenyonjo Jireh
Ssenyonjo Jireh 5 दिन पहले
Can I still answer the question
Ssenyonjo Jireh
Ssenyonjo Jireh 5 दिन पहले
Can I still answer the question
Chindulur Sai Kaushik
Chindulur Sai Kaushik 6 दिन पहले
out of all the possibilities z-axis was the least expected
Scripted Frames
Scripted Frames 6 दिन पहले
we need "chaos" in schools, not the other chaos 😅
Scripted Frames
Scripted Frames 6 दिन पहले
"Chaos"
Scripted Frames
Scripted Frames 6 दिन पहले
This video proved me that I am a dumb
Scripted Frames
Scripted Frames 6 दिन पहले
This video proved me that I am a dumb, I didn't even understand a bit as a 11th grades student
Leo Verran
Leo Verran 6 दिन पहले
Rabbits times rabbits divided by coyotes plus hawks minus fox equals WTF are you talking about and who cares,...not even the rabbits care!
Karan Jassal
Karan Jassal 6 दिन पहले
This video was so enlightening! Thank you! I love how we can visually see the fractal from a simple equation, and this is exactly how I perceive the universe. "As above, so below"
twobad
twobad 6 दिन पहले
hod up, someone has to tell me the graphing app that he used
Miagi Fodder
Miagi Fodder 6 दिन पहले
God man your 37 and only just found out about this. I'm 35 and just found out about it. Up your game dude
Xing Yu
Xing Yu 6 दिन पहले
this vid has saved my essay project 😂i've been learning how to determine period doubling in the last couple of months. But i had little clue that so many real life phenomena exhibits the bifurcation doubling behaviour. Impressed!
FBI Agent
FBI Agent 6 दिन पहले
I don’t get any of this but it sounds awesome
Iron work Paul
Iron work Paul 6 दिन पहले
The content is very good, a wonderful man with interesting knowledge
Fuzzy Ankles
Fuzzy Ankles 6 दिन पहले
holy shiet thats beautiful
fffrikkie 123
fffrikkie 123 6 दिन पहले
Life is a simulation confirmed
Ishita Vyavahare
Ishita Vyavahare 7 दिन पहले
what software is he using?
Paolo Scaramuzzino
Paolo Scaramuzzino 7 दिन पहले
how does it apply to the Covid-19 waves?
O_0
O_0 7 दिन पहले
Wait, so you're telling me that you could set equations on google's calculator this whole time? Amazing
Brian Kemery
Brian Kemery 7 दिन पहले
I've heard a ton about the Mandelbrot set over the years...but when he rotated it into 3 dimensions and it matched with the bifurcation diagram, my brain literally melted.
KG Guitar
KG Guitar 7 दिन पहले
ROWAN???
Anthony Tran
Anthony Tran 7 दिन पहले
first 10 seconds and i went dumb
Simon Lovelace
Simon Lovelace 7 दिन पहले
When the firing of Neurons in your brain and rabbits and Mandelbrot and Phi and oh my God it's everywhere
Juan David Barrada
Juan David Barrada 7 दिन पहले
Amazing!!!
dolf1n1
dolf1n1 7 दिन पहले
Wow I love the way you presented this topic so visually.
Rocket Zing
Rocket Zing 7 दिन पहले
Veritasium : video ratio movie producer : ''m i joke to you
ash channan
ash channan 7 दिन पहले
how many leaves on a tree ? - search - INposts Golden ratio Mrityunjaya Fibonacci Number Praveen Mohan - I like his explanation
Milkymalk
Milkymalk 7 दिन पहले
What if all these fundamental constants are such weird numbers (4.669, 3.1415..., and so on) because the computer universe.exe runs on uses something other than base 10?
adib z
adib z 7 दिन पहले
Everything is under control of God. Everything, under His calculation. Assalamualaikum
XRay Plays
XRay Plays 8 दिन पहले
Huh
Phillip Plyer
Phillip Plyer 8 दिन पहले
I'm just now fi ding your videos and its creating chaos in my marriage! I feel a couple bifurcation coming on. Any sugar mommas out there wanna help me get to 4.6669!? 😜 But in all seriousness, your videos are awesome!
steve
steve 8 दिन पहले
I dont get it U just talk too much
Phineas
Phineas 8 दिन पहले
I struggled to understand this just like many people. But look up Feigenbaum Number on Numberphile, it'll make this easier to understand slightly
John Worthington
John Worthington 8 दिन पहले
I just like the math... You'll die tomorrow, but the rabbits will forever live until.. Reality..
Mensa X
Mensa X 8 दिन पहले
All we have to do now is track and follow every bunny rabbit to see if this is true
rendzis
rendzis 8 दिन पहले
In what day did god made this?😁
mazhar chrome
mazhar chrome 8 दिन पहले
Can you make a video about this equation with human population, where will be the equilibrium?
unityelt
unityelt 8 दिन पहले
It's like programming life
Slow Motion
Slow Motion 9 दिन पहले
OMG! I bet he was the most hated guy in school !
Pula Vijaya
Pula Vijaya 9 दिन पहले
Is world an illusion make a video sir
Peacocks & Polar Bears
Peacocks & Polar Bears 9 दिन पहले
This is insane. I've never seen something visualized like this.
korteks visceralzen
korteks visceralzen 9 दिन पहले
Thanks. I love this channel. No one explains this stuff.
Betsy Larcom
Betsy Larcom 9 दिन पहले
I was an ecology major in undergrad and everyone else thought we just went around hugging trees...
Bare Bear Hands
Bare Bear Hands 9 दिन पहले
Chaos is natural order.
Eric Swenson
Eric Swenson 9 दिन पहले
And no one thinks there is a creator that did all this by design? All these links and ratios no one can explain the existence of, and we think it all just came about by accident...
Rohit Neemwal
Rohit Neemwal 9 दिन पहले
so random numbers are not so random.
Rohit Neemwal
Rohit Neemwal 9 दिन पहले
universal constants are just some values given to simulator to simulate our universe.hece we are in simulator
Rohit Neemwal
Rohit Neemwal 9 दिन पहले
so , we are in simulation .
Steven
Steven 9 दिन पहले
The mandelbrook fractal looks lika a turtle:)
Vinyas Singh
Vinyas Singh 9 दिन पहले
I guess the made up/unexplained answer of "42" we get to hear about has something to do with this universal constant of "4.669", I'm not sure though.
Xer R
Xer R 9 दिन पहले
You should make a podcast
Chaos: The Science of the Butterfly Effect
12:51
Veritasium
दृश्य 3.4M
Parallel Worlds Probably Exist. Here’s Why
20:00
Madhu surprised Me / Mani Madhu / 2K Couple
10:23
Mani Madhu
दृश्य 161K
Living In BALCONY  For 24 Hours Challenge | Hungry Birds
23:31
The Infinite Pattern That Never Repeats
21:12
Veritasium
दृश्य 10M
Why Machines That Bend Are Better
12:52
Veritasium
दृश्य 9M
The Feigenbaum Constant (4.669)  - Numberphile
18:55
Numberphile
दृश्य 1.1M
The Art of Code - Dylan Beattie
1:00:49
NDC Conferences
दृश्य 2.6M
The Illusion Only Some People Can See
16:57
Veritasium
दृश्य 4.2M
Is Success Luck or Hard Work?
12:04
Veritasium
दृश्य 3.7M
Madhu surprised Me / Mani Madhu / 2K Couple
10:23
Mani Madhu
दृश्य 161K
Living In BALCONY  For 24 Hours Challenge | Hungry Birds
23:31
Enga Veetu Kalyanam | Finale | Its VG
19:27
Its VG
दृश्य 705K
Muh Dikhayi | the mridul | Pragati | Nitin
13:56
The MriDul
दृश्य 3.3M