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

  • Julkaistu Vuosi sitten

    Veritasium

    kesto: 18:39

    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"

Tom Russell
Tom Russell

kudos to you and your curiosity

6 tuntia sitten
Nenad ИС XC Shuput
Nenad ИС XC Shuput

Not even this guy knows exactly what he is saying 🤣🤣

6 tuntia sitten
charlie3k
charlie3k

i watched this high and i feel like my mind entered a new dimension

8 tuntia sitten
Fairyplay
Fairyplay

This video has become really relevant with covid lol (at least the R part at the beginning)

11 tuntia sitten
Ray Skudlark
Ray Skudlark

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.

12 tuntia sitten
C Harris
C Harris

Finally the math that I already forgotten since high school looks interesting

14 tuntia sitten
Mathew Jackson
Mathew Jackson

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

15 tuntia sitten
Omid Khoshravan Azar
Omid Khoshravan Azar

I don’t know why but this whole video felt like an unskippable ad

16 tuntia sitten
Maulau Craw
Maulau Craw

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.

17 tuntia sitten
bumfartbumfart2
bumfartbumfart2

i hope you have won some awards for your films

21 tunti sitten
The Zach
The Zach

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.

Päivä sitten
Mahir Balushi
Mahir Balushi

Thanks

Päivä sitten
Daniel Edwards
Daniel Edwards

Whaaaaaaaaaaatttt

Päivä sitten
Brian Kleinschmidt
Brian Kleinschmidt

I love watching Mandelbrot renderings. That graphic just blew my mind. Beauty has a measure - math itself.

Päivä sitten
Lion Deluxe
Lion Deluxe

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.

Päivä sitten
mt2mgames
mt2mgames

this video is horrible. You keep conflating "the population" with "the percentage of the maximum possible population"

Päivä sitten
Marre
Marre

16:55 excited about chaos *HERESY* call the inquisiton

Päivä sitten
Ruderaksha Karwa
Ruderaksha Karwa

Showerthought: every civilization follows the same pattern , I would say we crossed the curve somewhere between 70s-90s

Päivä sitten
Drawing Masterclass
Drawing Masterclass

So much complexity and we still don't believe there is God.

Päivä sitten
Shawn Bechard
Shawn Bechard

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.

Päivä sitten
Nad G
Nad G

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

Päivä sitten
Ish Kabibble
Ish Kabibble

This is amazing! I'm familiar with the Mandelbrot set from decades ago, but is that 3D z-axis section a new discovery?

2 päivää sitten
UhOhMeMeBiggestBoy
UhOhMeMeBiggestBoy

Look at me just 16 and finding out about this instead of 32 welp anyway I have to go troubleshoot my brain

2 päivää sitten
Xandea Galleta
Xandea Galleta

I hurt myself in confusion. :(

2 päivää sitten
Dodd Rougeau
Dodd Rougeau

Spherical trigonometry will prove the Earth is flat. You haven't got the balls to research that truth.

2 päivää sitten
R Doody
R Doody

An application of math. Frustrating part of most math classes is the lack of application.

2 päivää sitten
Leandro Placencia
Leandro Placencia

19:39 10^10^100 Googolplex

2 päivää sitten
Leandro Placencia
Leandro Placencia

10^10^100 Googolplex

2 päivää sitten
Rotciv Inoccic
Rotciv Inoccic

BANG! .. My brain feels much better...

2 päivää sitten
Netemp Witemp
Netemp Witemp

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

2 päivää sitten
deck monkey
deck monkey

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".

3 päivää sitten
Jason Brunhard
Jason Brunhard

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.

3 päivää sitten
The Rodestarr
The Rodestarr

Holy hell. If they me a little about chaos theory in school I swear I would have been a mathematician by now.

3 päivää sitten
ich
ich

Which software did he use for plotting his graphs? 3:45

3 päivää sitten
Naz Fride
Naz Fride

Amazing. Thenks for the outstanding explanation of a pretty complex subject (for lay people)!

3 päivää sitten
Subhadeep Das
Subhadeep Das

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

3 päivää sitten
oh no
oh no

this has nothing to do with vegetarians??

13 tuntia sitten
Simranjeet Singh
Simranjeet Singh

Your calculation is wrong

3 päivää sitten
Ssenyonjo Jireh
Ssenyonjo Jireh

Can I still answer the question

3 päivää sitten
Ssenyonjo Jireh
Ssenyonjo Jireh

Can I still answer the question

3 päivää sitten
Chindulur Sai Kaushik
Chindulur Sai Kaushik

out of all the possibilities z-axis was the least expected

3 päivää sitten
Scripted Frames
Scripted Frames

we need "chaos" in schools, not the other chaos 😅

3 päivää sitten
Scripted Frames
Scripted Frames

"Chaos"

4 päivää sitten
Scripted Frames
Scripted Frames

This video proved me that I am a dumb

4 päivää sitten
Scripted Frames
Scripted Frames

This video proved me that I am a dumb, I didn't even understand a bit as a 11th grades student

4 päivää sitten
Leo Verran
Leo Verran

Rabbits times rabbits divided by coyotes plus hawks minus fox equals WTF are you talking about and who cares,...not even the rabbits care!

4 päivää sitten
Karan Jassal
Karan Jassal

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"

4 päivää sitten
twobad
twobad

hod up, someone has to tell me the graphing app that he used

4 päivää sitten
Miagi Fodder
Miagi Fodder

God man your 37 and only just found out about this. I'm 35 and just found out about it. Up your game dude

4 päivää sitten
Xing Yu
Xing Yu

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!

4 päivää sitten
FBI Agent
FBI Agent

I don’t get any of this but it sounds awesome

4 päivää sitten
Iron work Paul
Iron work Paul

The content is very good, a wonderful man with interesting knowledge

4 päivää sitten
Fuzzy Ankles
Fuzzy Ankles

holy shiet thats beautiful

4 päivää sitten
fffrikkie 123
fffrikkie 123

Life is a simulation confirmed

4 päivää sitten
Ishita Vyavahare
Ishita Vyavahare

what software is he using?

4 päivää sitten
Paolo Scaramuzzino
Paolo Scaramuzzino

how does it apply to the Covid-19 waves?

4 päivää sitten
O_0
O_0

Wait, so you're telling me that you could set equations on google's calculator this whole time? Amazing

4 päivää sitten
Brian Kemery
Brian Kemery

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.

5 päivää sitten
KG Guitar
KG Guitar

ROWAN???

5 päivää sitten
Anthony Tran
Anthony Tran

first 10 seconds and i went dumb

5 päivää sitten
Simon Lovelace
Simon Lovelace

When the firing of Neurons in your brain and rabbits and Mandelbrot and Phi and oh my God it's everywhere

5 päivää sitten
Juan David Barrada
Juan David Barrada

Amazing!!!

5 päivää sitten
dolf1n1
dolf1n1

Wow I love the way you presented this topic so visually.

5 päivää sitten
Rocket Zing
Rocket Zing

Veritasium : video ratio movie producer : ''m i joke to you

5 päivää sitten
ash channan
ash channan

how many leaves on a tree ? - search - YouTube Golden ratio Mrityunjaya Fibonacci Number Praveen Mohan - I like his explanation

5 päivää sitten
Milkymalk
Milkymalk

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?

5 päivää sitten
adib z
adib z

Everything is under control of God. Everything, under His calculation. Assalamualaikum

5 päivää sitten
XRay Plays
XRay Plays

Huh

5 päivää sitten
Phillip Plyer
Phillip Plyer

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!

5 päivää sitten
steve
steve

I dont get it U just talk too much

5 päivää sitten
Phineas
Phineas

I struggled to understand this just like many people. But look up Feigenbaum Number on Numberphile, it'll make this easier to understand slightly

6 päivää sitten
John Worthington
John Worthington

I just like the math... You'll die tomorrow, but the rabbits will forever live until.. Reality..

6 päivää sitten
Mensa X
Mensa X

All we have to do now is track and follow every bunny rabbit to see if this is true

6 päivää sitten
rendzis
rendzis

In what day did god made this?😁

6 päivää sitten
mazhar chrome
mazhar chrome

Can you make a video about this equation with human population, where will be the equilibrium?

6 päivää sitten
unityelt
unityelt

It's like programming life

6 päivää sitten
Slow Motion
Slow Motion

OMG! I bet he was the most hated guy in school !

6 päivää sitten
Pula Vijaya
Pula Vijaya

Is world an illusion make a video sir

6 päivää sitten
Peacocks & Polar Bears
Peacocks & Polar Bears

This is insane. I've never seen something visualized like this.

6 päivää sitten
korteks visceralzen
korteks visceralzen

Thanks. I love this channel. No one explains this stuff.

7 päivää sitten
Betsy Larcom
Betsy Larcom

I was an ecology major in undergrad and everyone else thought we just went around hugging trees...

7 päivää sitten
Bare Bear Hands
Bare Bear Hands

Chaos is natural order.

7 päivää sitten
Eric Swenson
Eric Swenson

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...

7 päivää sitten
Rohit Neemwal
Rohit Neemwal

so random numbers are not so random.

7 päivää sitten
Rohit Neemwal
Rohit Neemwal

universal constants are just some values given to simulator to simulate our universe.hece we are in simulator

7 päivää sitten
Rohit Neemwal
Rohit Neemwal

so , we are in simulation .

7 päivää sitten
Steven
Steven

The mandelbrook fractal looks lika a turtle:)

7 päivää sitten
Vinyas Singh
Vinyas Singh

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.

7 päivää sitten
Xer R
Xer R

You should make a podcast

7 päivää sitten
O Templo de Shaka
O Templo de Shaka

I wish best portuguese subtitles for veritasium videos, because my english is a work on progress.

7 päivää sitten
Hein Htet
Hein Htet

There is no chaos. Everything has a pattern at certain perspective.

7 päivää sitten
Martin Da Monarch
Martin Da Monarch

That kinda looks like how a tree 🌳 grows lol cool

7 päivää sitten
delt
delt

Seeeeriously fascinating!!!! 😲😲

8 päivää sitten
Ethan Evans
Ethan Evans

Not to brag but... I've known about the feiganbaum constant since I was 21... so 20 seconds ago

8 päivää sitten
CallMeBeep
CallMeBeep

Did you upload the vid ultra-wide just for me? :D

8 päivää sitten
Kelvin Francisco
Kelvin Francisco

This is the last time I watch any of your videos sober, 😒

8 päivää sitten
Zee Y
Zee Y

Now someone still thinks we live in a simulation?

8 päivää sitten
Rohan Dongre
Rohan Dongre

What kind of math is that?? Initially you said X is no. of rabbits, then you choose X=0.4, how's that possible?? Now, if R is the rate of growth, population next year isn't X*R, but X*(1+R). Further if suggest that the rate of growth will depend on the present population, the R, for any year, will be expressed as a function of (Ps, Pp) where Ps is the saturation population assuming limited resources and Pp is the present population for that particular year. Therefore, Xn=RX(1-X) is incorrect.

8 päivää sitten
Segala Nicolas
Segala Nicolas

The X is the percentage of population the theoretical maximum of the population. It makes sense to choose it arbitrarily, since what we care about is the value of X when it stabilises. And it will stabilise to the same value whether we choose it to be 0.4 or 0.9 or anything between 0 and 1. And secondly, it does make sense to multiply by the growth rate, as it makes an exponential model. The math here has been established since the 1970s, there are papers on this, of course it's correct.

8 päivää sitten
bereket taffesse
bereket taffesse

me: barely knows algebra The guy: Feigenbaum constant stays relative to the bifurcation diagram Me:i like your words magic man

8 päivää sitten
Pillow
Pillow

so this is how the multiverse go

8 päivää sitten
Pillow
Pillow

multiverse

8 päivää sitten
Segala Nicolas
Segala Nicolas

No, this has nothing to do with that. But if you want something that feels like the multiverse, you should check out Veritasium's video on the Many Worlds theory of physics

8 päivää sitten
Michael
Michael

Someone like you in his infatuation with chaos in Wuhan leaked the virus from their lab to cause chaos.

8 päivää sitten

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