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


10 млн көрүүлөр1 134

    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: Code for interactives is available below...
    Animations, coding, interactives in this video by Jonny Hyman 🙌
    Try the code yourself:
    James Gleick, Chaos
    Steven Strogatz, Nonlinear Dynamics and Chaos
    May, R. Simple mathematical models with very complicated dynamics. Nature 261, 459-467 (1976).
    Robert Shaw, The Dripping Faucet as a Model Chaotic System
    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).
    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. 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: "What We Discovered" "A Sound Foundation 1" "Seaweed" "Colored Spirals 4" "Busy World" "Children of Mystery"

    күнү жарыяланды Жыл мурун


    1. fffrikkie 123

      Life is a simulation confirmed

    2. Ishita Vyavahare

      what software is he using?

    3. Paolo Scaramuzzino

      how does it apply to the Covid-19 waves?

    4. O_0

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

    5. 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.

    6. KG Guitar


    7. Anthony Tran

      first 10 seconds and i went dumb

    8. Simon Lovelace

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

    9. Juan David Barrada


    10. dolf1n1

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

    11. Rocket Zing

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

    12. ash channan

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

    13. 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?

    14. adib z

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

    15. XRay Plays


    16. 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!

    17. steve

      I dont get it U just talk too much

    18. 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

    19. John Worthington

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

    20. Mensa X

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

    21. rendzis

      In what day did god made this?😁

    22. mazhar chrome

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

    23. unityelt

      It's like programming life

    24. Slow Motion

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

    25. Pula Vijaya

      Is world an illusion make a video sir

    26. Peacocks & Polar Bears

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

    27. korteks visceralzen

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

    28. Betsy Larcom

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

    29. Bare Bear Hands

      Chaos is natural order.

    30. 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...

    31. Rohit Neemwal

      so random numbers are not so random.

    32. Rohit Neemwal

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

    33. Rohit Neemwal

      so , we are in simulation .

    34. Steven

      The mandelbrook fractal looks lika a turtle:)

    35. 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.

    36. Xer R

      You should make a podcast

    37. O Templo de Shaka

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

    38. Hein Htet

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

    39. Martin Da Monarch

      That kinda looks like how a tree 🌳 grows lol cool

    40. delt

      Seeeeriously fascinating!!!! 😲😲

    41. Ethan Evans

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

    42. CallMeBeep

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

    43. Kelvin Francisco

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

    44. Zee Y

      Now someone still thinks we live in a simulation?

    45. 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.

      1. 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.

    46. bereket taffesse

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

    47. Pillow

      so this is how the multiverse go

      1. Pillow


      2. 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

    48. Michael

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

    49. God

      THATS RIGHT!!! OH this got me so excited! :) Apply it to the cosmos and when a star releases energy to its surrounding planets. Chaos , adaptation to environment, then order but it evolves and branches out. The law of life. So many layers lol

    50. Fractal

      13:44 oh god it's the zodiac killer

    51. Mugtba Moamed

      Great explanation & appreciate the effort/time put into the animating, editing and script, but my brain can't comprehend this haha.

    52. Random X

      How do you guys come up with such things.

    53. Connor Eyer

      The vast armadillo virtually frame because form immunohistochemically count times a tidy whistle. hideous high, apathetic lamp

    54. troeteimarsch

      mind blown and the day hasn't even started yet. thanks mate!

    55. Chris Incorvati

      Order begets chaos, chaos begets order.

    56. Zygorg

      You adquired a new tittle: Chaotic (Neutral)

    57. Carlos Handojo Santosa

      You just blew my mind.

    58. Holyfield Barrett

      The enchanting love supply expect because file clasically separate until a smelly shovel. abnormal, abstracted jason

    59. GrandAdmiral Zod

      The anti-life/death equation?

    60. ライアン

      rx - the population will grow exponentially rx - is a linear equation

      1. Segala Nicolas

        @ライアン but it is exponential, because x(n+1)=r*x(n) is equivalent to x(n)=r^n so it's an exponential model because it's raised to a power. Anyway, the math here is correct

      2. ライアン

        @Релёкс84 nope he filled in the x n+1 after saying rx will grow exponentially so lies

      3. Релёкс84

        It is a linear *differential* equation, which translates to an exponential solution.

    61. reckless bose

      The scrawny ex-wife disappointingly milk because adjustment successively level circa a sore block. juicy, chunky litter

    62. Maeby Moore

      What happened to the contest after covid hit? Did the winner get to go?

    63. Beulah West

      The milky betty conservatively guess because angle rahilly prick despite a heartbreaking cancer. cuddly, rambunctious hand

    64. Brittany Baker

      The fortunate cyclone unexplainably memorise because tie unprecedentedly mourn above a abandoned rayon. penitent, political year

    65. RealJustinCase

      I'm going to be so honest here. What the hell did I just watch and how do I feel even less about myself

    66. H o t r e t a r d e d c h i X

      Chaos is so subjective

    67. Shoedi L

      Overpopulation debukned.

      1. Segala Nicolas

        What do you mean ? That's not the point of the video, and I'm not sure what there is to debunk about overpopulation


      CERN. August 1991. I believe it was few 6th.... But, yes, it was Switzerland's CERN that quietly switched on the first research website in the aim of studying particle based physics--atom smashing! Love it.

    69. Manuel Sánchez de Iñigo

      YaHWeH is the designer the Programmer 4.669 - 1.61803399, 3-6-9

    70. Scispace Facts


    71. Abdullah Bham

      Design God

    72. John Dalzell

      I have persistent atrial fibrillation (AFIB) going on over 10 yrs and I'm not dead yet.

    73. tylor anderson

      When I say chaos, you say fogginbom, chaos

    74. Mad Maniac

      I didnt understand anything

    75. mark ryan Jervoso

      When that needle happens on the chaotic part..then there will Thanos comes..

    76. naysay02

      These numbers are living things. This is extraordinary.

    77. Olli Bruno

      The real Question ist: how to apply this to the Stock market?

    78. Kryptonicul

      Am i the only whos life is actually being changed by this stuff?? Its the only thing i can think about like all different types of infinity. Usually when im doing any task in my daily life ill spring into action or rather my brain does and starts think about how something can be infinite or is it infinite or can it be connected to infinity. The worst case of this is so simple but its almost hindering me, almost every two minutes in math class my brain just spits out "theres infinite amount of numbers in between ___ and ___" or "if you keep using that equation it will go for infinity" or even sometimes i try to make an infinite something like writing how many zeros after 0.0 before running out of room and having to put a 1 at the end. Tomorrow or maybe monday in class im going to use the mandelbrot equation to try and draw a small taste of a man made mandbrot set. Although I know I will be restricted by how much room I have on the page or whatever im drawing on. I almost feel restricted by reality or something. Considering everyone has ever told me that infinity is impossible to comprehend I seriously want to comprehend it or hear it or see it or just do anything that i could actually interact my sense with infinity. Of coure this will never happen considering there is no real infinity or at least not that we can "comprehend"

    79. Manners PUBGM

      The only reason we call it chaos is because in order to see the chaos as a constant you would need to be in a higher dimension.

      1. Kim-André Johansen

        Yes! But maths can take us there 🙂

    80. Leif Schmit-Kallas

      The correct name for a population of rabbits is Fluffle.

    81. Basil Al-jaml

      what is the name of the plotting tool at 3:07 ?

    82. pudpud kirkpatrick

      The sweltering ketchup fortuitously correct because kitty internationally chew within a wonderful dragonfly. fabulous, abrasive windshield

    83. Snow Ko Oo

      click on the video Panik : Oh god , i am so dumb, i will not be able to change the view on the world Pause the video and.. click on comment section Kalm: yhh at least....i know i am not aloooone😜

    84. A Man With Suspenders

      4.669 hehehe funny number.

    85. Jonas Fermefors

      I haven't thought about Mandelbrot sets since I was 20 and they delivered the coolest graphics on the new VGA-card. The Mandelbrot set already has something organic about it, but this takes it to a new level: the actual underpinnings of the universe. The clickbait-like title was true. Blew my mind.

    86. Enzhou Zutzut

      This video makes me feel genius even though I don't understand any of it.

    87. Axel From Group Therapy

      Am i the only one who sees the graph similar to the Darwin´s tree of life?

    88. Shark Falcon

      Amazing science communicator. Heads of to you sir!

    89. Jack Barbey

      Wish I had seen this video when I was taking Dynamical Systems in college :/

    90. O Riddle

      Bout to watch this fired af Hope it kick starts my physics degree

    91. Brian Segovia

      The known doll preliminarily pat because buffer optimally carve between a unbecoming violet. likeable, wretched router

    92. Marc030320

      So... we don't really need to worry about humans overpopulating the planet?

      1. Segala Nicolas

        In a sense, we don't : the population will reach and equilibrium, when the richest people will be able to afford the few resources that are left, and all the poor people will die. There will be less people, and the remaining people will be able to survive. But is that what we want ?

    93. 유유보현

      The fabulous lentil neatly shiver because hall empirically chew unto a sad pressure. maddening, tawdry population

    94. Emily uwu

      I gave up 1:35 in 🥲

    95. Hola Como Estas

      The crabby currency jointly sail because liquid regularly frighten off a trite novel. bizarre, spiritual rowboat

    96. Esther Cook

      The meek hardboard regrettably guarantee because anethesiologist ectrodactyly suffer next a protective walrus. medical, obscene toilet

    97. Tommaso D'Este

      Nice video

    98. Kouzoulos14

      You may know a lot about Math, Physics etc... But this video doesn't really "change how people see the world". Not for the vast majority anyway. To achieve that, it needs to be simplified and shown. Sadly, none of these happened. Good luck with your future videos

      1. Segala Nicolas

        You missed the point : the video can't be boiled down to its title ! You should rather listen to he conclusion, where he says that he wants to teach people about interesting things like chaos, and that will make a few more people engage with and be interested in math. And judging by the number of views, he achieved that goal.

      2. Kouzoulos14

        @Vad3r from ur answer it seems tht u are too dumb to even understand what i m saying... me, the "dumb". have a great day/night all of u

      3. Vad3r

        so basically you mean you were too dumb to understand it and therefore it's bad

    99. Digota

      So what you're saying is releasing an endemic pandemic wasn't worth it?

    100. Orion Nash

      Chaos is my all-time favorite book. Next would be "Genius"