Chaos: The Science of the Butterfly Effect

Chaos theory means deterministic systems can be unpredictable. Thanks to LastPass for sponsoring this video. Click here to start using LastPass:
Animations by Prof. Robert Ghrist:
Want to know more about chaos theory and non-linear dynamical systems? Check out:
Butterfly footage courtesy of Phil Torres and The Jungle Diaries:
Solar system, 3-body and printout animations by Jonny Hyman
Some animations made with Universe Sandbox:
Special thanks to Prof. Mason Porter at UCLA who I interviewed for this video.
I have long wanted to make a video about chaos, ever since reading James Gleick's fantastic book, Chaos. I hope this video gives an idea of phase space - a picture of dynamical systems in which each point completely represents the state of the system. For a pendulum, phase space is only 2-dimensional and you can get orbits (in the case of an undamped pendulum) or an inward spiral (in the case of a pendulum with friction). For the Lorenz equations we need three dimensions to show the phase space. The attractor you find for these equations is said to be strange and chaotic because there is no loop, only infinite curves that never intersect. This explains why the motion is so unpredictable - two different initial conditions that are very close together can end up arbitrarily far apart.
Music from "The Longest Rest" "A Sound Foundation" "Seaweed"


  • Christopher Harrison
    Christopher Harrison54 minuta më parë

    Monarch= Man hole air see hydrolic pump Oil rig water pump left uncovered /// know something else to say Leroy?

  • Rachel V K
    Rachel V K10 orë më parë

    Fascinating! 👍😊❤️

  • Prem sa Roasting
    Prem sa Roasting14 orë më parë

    If some person achieve the lop in life if may be immortal 🤔

  • Programming with Sunny
    Programming with Sunny23 orë më parë

    Time to ask Nostradamus he must have had a hack.

  • EveryTimeV2
    EveryTimeV2Ditë më parë

    You can actually predict the outcome of a coin flipping machine pretty accurately given you know the starting conditions of the coin, it might not be completely perfect but if it works 99% of the time it's still useful.

  • Edward Joyner
    Edward JoynerDitë më parë

    This seems to be a case against global warming models.

  • Space Mysteries
    Space MysteriesDitë më parë

    Plot Twist: The pendulums synchronise and the whole system is destroyed

  • Baby girl
    Baby girlDitë më parë


  • Kristjan Peil
    Kristjan PeilDitë më parë

    LastPass ad is out of date....

  • Noah Umana
    Noah UmanaDitë më parë

    What if everything is predictable

  • Cory Kowitz
    Cory KowitzDitë më parë

    For this life I cannot change

  • László Péter
    László PéterDitë më parë

    My story of the real butterfly effect: When I was at University I made the choice: "..not to become a scientist, but a teacher instead.." Just because of the lesson I picked up, named "Chaos" (was optional). I had to create a computer model, for a 3 variable (+ the time) system (a simplyfied model of the Gold flow) and my teacher wanted me to find the saddle set of it. Find what makes it work? Find the particle that never leaves the system! Of course now I know I had really no chance to find it. It cost me money and lot's of work. My teacher told me that he won't give me any grade and later I had to beg for a 1 (=fail), so I didn't have to pay even more money. At last I lost enthusiasm and that was the point I didn't want to be scientist anymore. Don't worry here comes the good part! But I became a teacher, still loving physics, teaching it like it's magic! Children loves it! I would never meet my wife, not even watching this video, that is posted 1 day difference of my birthday. I am thinking of now, was it a coincidence or .... ?

  • Rygaran
    Rygaran2 ditë më parë

    man eats bat -> world wide pandemic, economical crisis, 50000 deaths

  • Is This What The Kids Like
    Is This What The Kids Like2 ditë më parë

    You had me at five fidget spinners with repelling magnets in their arms.

  • Anubhav Raikar
    Anubhav Raikar2 ditë më parë

    so does the amazon butterfly cause the tornado or not?

  • Mohib Ullah
    Mohib Ullah2 ditë më parë

    He explained such a complex topic with so much simplicity that i am just speechless.

  • gamecoolguy619
    gamecoolguy6192 ditë më parë

    What happens when you have two pendulum but no friction it has to be periodic at some point?

  • Yrena Lantigua
    Yrena Lantigua3 ditë më parë

    The chaos theory

  • Alkeryn
    Alkeryn4 ditë më parë

    wouldn't the lorenz attractor given enough time have a chance to return to its initial conditions in the case that all values are discrete ?

  • RandomGuy0400
    RandomGuy04004 ditë më parë

    "Carnage... is... CHAOS... *Maniacal laughter*"

  • Ona Alert
    Ona Alert4 ditë më parë

    I say that yes, the future is already "written". The demon of laplace would be able to predict what is going to happen in the future if he took in accountability the unverse and all that has ever happened in it. sadly humans will never posses that amount of information or the capacity to take in consideration every single aspect of the universe and it's direction. Taking in accounability every human's brain and every living thing's that has a "will". and if we copy-pasted a universe and played them both at the exact same time, the outcome would be exactly the same. if we took a single element out of one of these universes, (A plant or a human, or even an atom) The outcome will never be precisely the same. it may take a huge ammount of time for them to show substancial differences, but they will eventually become more and more noticeable, until we end up with very different results. (This may take time tho)

  • Kanonenfutter
    Kanonenfutter5 ditë më parë

    Steins;Gate makes a whole lot of more sense now.

  • sakhanna
    sakhanna5 ditë më parë

    Thanks for the informative video. What is the background music being used at the end of your video? The seaweed music files plays different.

  • Eden Atlas
    Eden Atlas6 ditë më parë

    I believe in Laplace's Demon. The problem with the butterfly effect is that there are no ways to redo your life, so for all intents and purposes, we only have one experience, Choices are just decisions happening one after another, that do not change anything with the flow of time. We do not choose between versions of reality, we are a part of one of them.

  • Andrew Wright
    Andrew Wright6 ditë më parë

    So what's it mean if one can just look at things and predic the weather ?

  • Anthony Ray
    Anthony Ray7 ditë më parë

    watched this after the synchronization video. terrible mistake, i’m so confused.

  • Jace
    Jace8 ditë më parë

    For this life I cannot change

  • Lovely Gacha_UWU_
    Lovely Gacha_UWU_8 ditë më parë

    if we had infinite or every variable down to the plank length we would be able to make these calculations.those examples were predictable just not with wrong variables. if we map varibles at a margin wider than the plank length then it is unpredictable. This is only true if the plank length exists, In my opinion i dont think it does exist and there is an infinite set of variables. therefore wed need infinite variables. even though chaos does show up it doesnt ruin simulations completely. if we had a simulation on how variables reacted on earth we could still steal information from the future even though that future wasn't the exact product of our present.

  • Dudu Volpato
    Dudu Volpato8 ditë më parë

    what is the name of the telescope behind you?

  • Chubby Lions
    Chubby Lions8 ditë më parë

    🌺my 12 year old mind has been blown🌺

  • Amy Lim Schwander
    Amy Lim Schwander8 ditë më parë

    Thanks for the videos - another beautiful example of rheostatic order which includes states of variability in relation to higher order predictable potential action. :)

  • ditë më parë

    I predict that a lot of the people who viewed this video tried to do something unpredictable shortly after.

  • Hyperthesis
    Hyperthesis8 ditë më parë

    And here I am just trying to get back to the Beta Attractor Field so CERN doesn't take over the world.

  • Lahayed
    Lahayed8 ditë më parë

    Of course if you take all your time calculating, your past present and future is gonna be befor your eyes.

  • Beulah West
    Beulah West9 ditë më parë

    The nippy stepdaughter traditionally replace because wind normally rob besides a obedient hospital. recondite, angry cloud

  • Devil's Advocate
    Devil's Advocate9 ditë më parë

    When one movie called the butterfly effect triggers the production of 100s more.

  • skeletorrobo
    skeletorrobo9 ditë më parë

    So butterfly effect debunked?

  • C List
    C List9 ditë më parë

    I think your smoking too much weed

  • xeykdeyk
    xeykdeyk9 ditë më parë

    He had glimpsed chaos. Epic. Just epic haha

  • Átila Silva
    Átila Silva9 ditë më parë

    This is the meaning of life, to understand what we call caos.

  • Átila Silva
    Átila Silva9 ditë më parë

    We just don't have the tecnology for this, and we think we are smart.

  • Sushant Kumar
    Sushant Kumar9 ditë më parë

    Can it be, that the chaos theory suggests our maths is wrong somewhere!!!!

  • FNU Vikas
    FNU Vikas9 ditë më parë

    I see lot of Yogic science being just touched here

  • Caleb Torres
    Caleb Torres10 ditë më parë

    "How well can we predict the future?" Depends how well u psi

  • ASMR Student
    ASMR Student10 ditë më parë

    This video goes so well with Nassim Taleb's book " The Black Swan"!

  • Winifred Hawkins
    Winifred Hawkins10 ditë më parë

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  • Swayam
    Swayam10 ditë më parë

    El psy congroo

  • Peter Griffin
    Peter Griffin10 ditë më parë

    Well...a good example: Someone eats a Bat -> Million People Die

  • 유유보현
    유유보현10 ditë më parë

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  • 유유보현
    유유보현10 ditë më parë

    The disagreeable blood ethnically live because biology holly jam against a decisive velvet. elfin, elated chemistry

  • Perla Li
    Perla Li11 ditë më parë

    The initial starting point is deterministic followed by random and unpredictable behavior

  • so much to cook
    so much to cook11 ditë më parë

    The double pendulum is unique as for explaining alternative histories, just as there is chaos sometimes the paths may align closely with each other but not for long.

  • Leo Night
    Leo Night11 ditë më parë

    I'd compare the butterfly effect to the infinite but never repeatable pattern

  • Teresa Hughes
    Teresa Hughes11 ditë më parë

    The frightened frightening full fumbling functional algebra moberly pause because bowl retrospectively jail off a goofy colt. jaded, dusty soprano

  • Boppo Jr
    Boppo Jr11 ditë më parë

    Just blew my mind

  • samosamofficial
    samosamofficial11 ditë më parë

    Indeed, Allah [alone] has knowledge of the Hour and sends down the rain and knows what is in the wombs. And no soul perceives what it will earn tomorrow, and no soul perceives in what land it will die. Indeed, Allah is Knowing and Acquainted. (Quran 31:34) “…the heavens and the earth were a joined entity, and We separated them and made from water every living thing” (21:30). “And it is He who created the night and the day and the sun and the moon; all in an orbit are swimming” (21:33).

  • Marten Bos
    Marten Bos11 ditë më parë

    88=Double Infinity

  • thebiglight bulb
    thebiglight bulb11 ditë më parë

    Why does this hashing algorithms

  • bushputz
    bushputz11 ditë më parë

    "Does the flap of a butterfly's wings in Brazil set off a tornado in Texas?" Makes me feel guilty every time I fart now.

  • programming With Logic
    programming With Logic11 ditë më parë

    the butterfly effect just describes the law of nature no, where there is a positive, there is a negative... when you come down to plain term speaking. "anything and everything causes something and nothing. But nothing will only be nothing, when there is something" ;) enjoy

  • The Priest Pucci
    The Priest Pucci11 ditë më parë

    If you knew every Single reaction to every possible Action done by you, you could just so commit the perfect Murder by just doing one harmless looking Action and letting the calculated reactions do their thing untill it gets to the point where the target dies "by accident" just because you idk like changed something in theire invironment that Influenced their behaiviour. Yeah you could pretty much do anything if you were to know all the odds and possibilitys.

  • Jasper Ecb
    Jasper Ecb12 ditë më parë

    The ragged revolver energetically frighten because head perplexingly multiply opposite a fallacious mailman. abject, elated feet

  • HippoButtSecks
    HippoButtSecks12 ditë më parë

    BREAKING NEWS! Butterfly cause another natural disaster killing billions! ...........🦋 wut?

  • Mr. B4n
    Mr. B4n12 ditë më parë

    Dude i am from Brazil and i moved to Texas,i am scared kkkkkkk

  • EXCALIBUR 4040
    EXCALIBUR 404012 ditë më parë

    I think In an identical universe even quantum effects over billions of years could mean the difference between a copy of a person being borne or not.

  • Micaela Royo
    Micaela Royo12 ditë më parë

    I think the butterfly effect also captured so many minds because we as humans are constantly asking "Do the choices I make matter?" and "In the grander scheme of things, am I important?" and the butterfly effect gives an answer which is in most cases, yes to both questions

  • Matthew Palkovich
    Matthew Palkovich12 ditë më parë

    The ambitious mary seemingly yawn because red collaterally pack into a tiny coin. pathetic, hapless north america

  • Mr. Meow YT
    Mr. Meow YT12 ditë më parë

    So there are cheat codes for the universe?

  • Nina Sumal
    Nina Sumal12 ditë më parë

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  • Henry Prudente
    Henry Prudente12 ditë më parë


  • Khyber
    Khyber12 ditë më parë

    Let's see if I understood this video correctly. So determinism is both valid and impossible? Numbers being infinite along with infinite decimals of information in regards to observed measurements in CHAOTIC systems creates a trend that causes the difficulty of predicting certain events to increase with the progression of time from the original measurement. Sound about right? If I have this correct, it still falls in line with the way I view the universe. Chaos fits into my deterministic view. I never said determinism would be easy or even possible. Just that it could be done given basically infinite knowledge and energy. Pointless, but in theory possible. My main goal in my thinking was to destroy the idea of randomness. True randomness. Randomness separate from chaotic results. An event or observed state with absolutely no reason for being. Even on a quantum level, the universe is cause and effect. We're just beginning to understand the quantum level of the universe. It will be a long time until we have that figured out. It is more likely we have gaps in our knowledge and understanding of quantum mechanics than there is a chance of true randomness.

  • Youngblood
    Youngblood12 ditë më parë

    For want of a nail, a horseshoe is lost. For want of a horseshoe, a horse was unable to run. For want of a horse, a message is not delivered. Because of an undelivered message, the war is lost. Civilization fell.

  • Bahay Kubo
    Bahay Kubo12 ditë më parë

    Random comment: You look a little bit like Rowan from Viva La Dirt League

  • spook
    spook13 ditë më parë

    There is no such thing as chaos just and incomprehensible complexity for humans.

  • far amen
    far amen13 ditë më parë

    The lopsided day alarmingly scream because lobster tribally phone aboard a quiet colony. plastic, enchanting cry

  • JH B.Patricio
    JH B.Patricio13 ditë më parë

    I can tell the future We are all going to die See? I can see the future

  • Luis Del Rio
    Luis Del Rio13 ditë më parë

    The whispering skin interstingly check because march weekly fix via a gorgeous copper. sick, utopian brother-in-law

    TROLLIOSIS #113 ditë më parë

    I am a firm believer in the butterfly effect.

  • David Zallis
    David Zallis13 ditë më parë

    just dropping Heisenberg's Uncertaincy principle from quantum mechanics like it is nothing

  • Carlos Dávila
    Carlos Dávila13 ditë më parë

    what happens if someone hacks lastpass?

  • real me
    real me13 ditë më parë

    I’m a lil slow. Someone break this down for me

  • Daffonm
    Daffonm14 ditë më parë

    So this is what harvard students talking about to each other

  • Erik LaRoi
    Erik LaRoi14 ditë më parë

    Boom. Butterfly effect.

  • User Oogle
    User Oogle14 ditë më parë

    Heisenburg's uncertainty principle be the demon😂😂

  • Dale Valenta - Music
    Dale Valenta - Music14 ditë më parë

    7:21 chaos... is beautiful

  • Dale Valenta - Music

    Dale Valenta - Music

    14 ditë më parë

    10:28 aswell...

  • Salvador Gady
    Salvador Gady14 ditë më parë

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  • Eliseo Galliher
    Eliseo Galliher14 ditë më parë

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  • Gaming With Mavis
    Gaming With Mavis14 ditë më parë

    is anyone else wierded out by how it strongly resembles an infinity symbol?

  • Bradley Kurkowski
    Bradley Kurkowski14 ditë më parë

    I want a screen saver of 10:12 but slightly different every time

  • Akirex 5000
    Akirex 500014 ditë më parë

    If you were able to hold an an incredibly long stick (like billions of light years long) that went out into the universe, tilting it by just a couple degrees means that the end of the stick could be in an entirely different part of the universe.

  • Legendary Bizzle
    Legendary Bizzle14 ditë më parë

    we know its a add, but you are promoting wrong thing 12:00 because people need to be able to remember # with just the brain... that's a lazy brain thing you advertising but hey you getting paid so who am I to say anything... I remember all my passwords straight brain power for multiple websites I have... have you seen that movie where the girl lost her phone and she paid the price for not knowing a single # ….. by the way I love your videos... but not everything I watch on ALthe I believe even if you work at NASA.

  • MannyXVIII
    MannyXVIII14 ditë më parë

    if you think about it this also translates to humans quite well. Trying to predict an individuals futur actions is nigh impossible, but take a large enough group of people and you can predict them pretty well.

  • ψ{Flame End Cyborg Guy}ψ
    ψ{Flame End Cyborg Guy}ψ14 ditë më parë

    My favorite thugh on the matter is: Chaos is not anti-order. It has its own rules, secred to common eye, but quantificated, mesurable and predictable. we may not know the sequence, but we can know the rules it must obey.

    RAUNAK CHATTERJEE14 ditë më parë


  • Frank Stroll
    Frank Stroll14 ditë më parë

    I'm having existential crisis.

  • Feike Leemkuil
    Feike Leemkuil14 ditë më parë

    Just found these videos, I LOVE how holism is finally entering the mainstream!

  • Jessica Prebeck
    Jessica Prebeck14 ditë më parë

    Hey there. I am new in this thing but if you look at 10:11 it looks like the black hole image of the film Interstellar. Is there any similarities or what?

  • Leeds Judson
    Leeds Judson15 ditë më parë

    The second-hand mosquito summarily terrify because brand univariately arrange sans a third february. helpful, sable friction

  • Russ Jones
    Russ Jones15 ditë më parë

    Suck it, Hari Sheldon!

  • khalid farah
    khalid farah15 ditë më parë

    Could this possibly be an explanation of the arrow of time.

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