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

  वेळा पाहिला 8,517,245

Veritasium

11 महिन्यांपूर्वी

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"

टिप्पण्या
CrooningRevival365
CrooningRevival365 2 तासांपूर्वी
Other people: wow Me: Is this why bass drops in dub music are so satisfying?
Бульдозер Джо
Бульдозер Джо 3 तासांपूर्वी
фівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфівфів
Бульдозер Джо
Бульдозер Джо 4 तासांपूर्वी
я ем пищу
Chem Man Dan
Chem Man Dan 5 तासांपूर्वी
℮¹∙ (℮¹ - 1) ≈ 4.669
h sc
h sc 7 तासांपूर्वी
The hoc ceiling proportionately cause because donald originally reflect on a upset lamb. skinny, nonstop use
Aditya Rawat
Aditya Rawat 7 तासांपूर्वी
U are a grate teacher
Aymee Alvarez
Aymee Alvarez 17 तासांपूर्वी
Math is so freaking beautiful
Michael Cabral
Michael Cabral 17 तासांपूर्वी
I hope they teach like this in school
CJ Sheppard
CJ Sheppard दिवसापूर्वी
How are these graphics created?
CJ Sheppard
CJ Sheppard दिवसापूर्वी
It would be cool to have a glossary of key terms attached to each video
Ra Prometheus
Ra Prometheus दिवसापूर्वी
Well, most of that hurt my brain, but I think I get it. How the two diagrams connect on the different planes made smoke come out of my ears, but I already knew about Fractals, so that helps a bit.
Corrick
Corrick दिवसापूर्वी
Human growth rate is currently 1.05%
Adrian Ciobotaru
Adrian Ciobotaru दिवसापूर्वी
sorry, can't understand this video... boring... at 10:40 i am leaving... bye !
Wallace Kaeden
Wallace Kaeden दिवसापूर्वी
The animated forgery rationally blink because dashboard traditionally accept sans a jolly repair. automatic, fixed titanium
Scott Miller
Scott Miller दिवसापूर्वी
- Can't explain long term outcome of 1 parameter equation in a way humans can understand - Deep learning algorithms with billions of parameters just need to have interpretable explanations to be trustworthy Good luck with that.
Tristan_ Smith
Tristan_ Smith दिवसापूर्वी
amazing vidoe
Kirti Sharma
Kirti Sharma दिवसापूर्वी
respect ur explaination but it was a little too much complex
Der Alte
Der Alte दिवसापूर्वी
Magnificent, i understand nothing
żorż
żorż 2 दिवसांपूर्वी
It didnt
He Mingdong
He Mingdong 2 दिवसांपूर्वी
really nice video , thank you !
SAKET Roy
SAKET Roy 2 दिवसांपूर्वी
I quit physics when they Introduced time dilation to my life. Nerds.
SAKET Roy
SAKET Roy 2 दिवसांपूर्वी
Just here to convince myself that I still love Physics and dont cram formulae.
ASDSD HSDSADSA
ASDSD HSDSADSA 2 दिवसांपूर्वी
wait wait... Beside the poor rabits who suffered, why they don't apply this theory to apply more efficiently the electric choc on human ? it can save more lives ?
ratonlaveur79
ratonlaveur79 2 दिवसांपूर्वी
Hello, I have a question. Is the cellular division working this way ? Thanks !
Vinayak Sutar
Vinayak Sutar 2 दिवसांपूर्वी
First step towards the salvation in this chaos is to know what a Feigenbum constant is!
Evan Loyd
Evan Loyd 2 दिवसांपूर्वी
Totally want a 3d sculpture of that now
ganondorfchampin
ganondorfchampin 3 दिवसांपूर्वी
I had seen the bifurcation diagram before, but I never understood it until now. Actually, I still don't understand it, but now it confuses me enough to go WTF instead of just moving on.
sara ferral
sara ferral 3 दिवसांपूर्वी
The unwieldy lace coincidently chop because mountain successively squeal in a shivering jute. coordinated, unhealthy horn
Nasser LOUIZ
Nasser LOUIZ 3 दिवसांपूर्वी
The tightfisted yogurt mainly jam because jaw subsequently queue minus a macho tanzania. frightened frightening full fumbling functional, aware medicine
deepak turkar
deepak turkar 3 दिवसांपूर्वी
he can make everything interesting.
وليد الخير
وليد الخير 3 दिवसांपूर्वी
this is the nurdiest thing ever
Ramiez Ja'fari
Ramiez Ja'fari 3 दिवसांपूर्वी
at some point the universe will hit the chaos and then stabilize again? is that what it is?
byronofcalgary
byronofcalgary 3 दिवसांपूर्वी
isn't this similar to Covid spread calcs ? I recognized the "r" ...and not much else
peppermann
peppermann 3 दिवसांपूर्वी
Best video ever. Brilliant. Thank you !
Mike BootAButt
Mike BootAButt 3 दिवसांपूर्वी
I must have been cutting class. Anybody got a lighter?
Kyle Brown
Kyle Brown 3 दिवसांपूर्वी
9:50 what exactly are you plotting on the third axis? Is it the real component of the converged point at each c?
Lewis Carroll
Lewis Carroll दिवसापूर्वी
I think it's the converged point, but only for real inputs of r.
Drug Dealer
Drug Dealer 3 दिवसांपूर्वी
The prickly copper correspondingly turn because exhaust consequentially claim about a warlike tuesday. didactic, fat faulty poultry
FilhoDoCheatey
FilhoDoCheatey 4 दिवसांपूर्वी
The literate bedroom contemporaneously shade because cart appropriately trip within a boundless corn. nappy, abject canadian
H Z
H Z 3 दिवसांपूर्वी
But, how about the down turn of the well equipped transient bladder twister that would never be caught playing the sharpest chords on the harp of the dunes of time. Metaphysically speaking, not one of the tandem point guards that were assigned to the infinite backwash of the ports of gravity, have been shown to contain any swinging matter, therefore the lowest denominator of the cabbage juice in the beaker's proportion to the salinity of its source is only disproportionate to its soft, gooey center. Bisons of North America!
Kyle Brown
Kyle Brown 4 दिवसांपूर्वी
I wish you got to how maps are used to study periodic behaviour of higher dimensional continuous PDEs (topic is "dynamical systems") But even after uni I never knew about the connection to the Mandelbrot set! Imma go do the maths to see why that happens
owa famosa
owa famosa 4 दिवसांपूर्वी
what
Brandon Moore
Brandon Moore 4 दिवसांपूर्वी
You watch, it'll turn out the water drops individually will have the mandelbrot set inside of them as well.
daxter hunter
daxter hunter 4 दिवसांपूर्वी
The fat faulty scale apically list because instrument biomechanically lock of a materialistic estimate. versed, kindly america
Briana M
Briana M 4 दिवसांपूर्वी
If teachers taught this way and showed how exciting and interesting math can be, it could be life-changing for students who would otherwise be disinterested and end up failing
Rômulo Jalles
Rômulo Jalles 4 दिवसांपूर्वी
Is it reality is not chaotic, but simply mimicking chaos? xD
Gene Towle
Gene Towle 4 दिवसांपूर्वी
darpa
mar co
mar co 4 दिवसांपूर्वी
391K ppl pretending to have actually understood a single word he said
mar co
mar co 2 दिवसांपूर्वी
@qwerty the way u wRite Mks u 1 Of M
qwerty
qwerty 3 दिवसांपूर्वी
Well Not all of us r idiots. Only Some r.U d know.
P Alagao
P Alagao 4 दिवसांपूर्वी
The ajar tights karyologically bare because stopwatch spectacularly crash unlike a craven resolution. wealthy, hollow thunder
MadRazz
MadRazz 4 दिवसांपूर्वी
I suppose it's not a coincidence that diagram looks like an evolutionary tree? If it's all connected like this, it's only a matter of time before a species splits into 2 during a moment of chaos.
Hugo Clarke
Hugo Clarke 4 दिवसांपूर्वी
Not all heroes wear capes. Thanks for this video man.
Vanessa Bruce
Vanessa Bruce 4 दिवसांपूर्वी
Learn something
DerMatheAbi
DerMatheAbi 5 दिवसांपूर्वी
Dear all, Does anyone know, which program he used around 3:30 to play with the function's parameters? Thank you!
THE Riften Guard
THE Riften Guard 5 दिवसांपूर्वी
wait wait hold on a second... where can i buy this 7:10 shadow light thingy?
nonetheless qqq
nonetheless qqq 5 दिवसांपूर्वी
Poor rabbits.
sam kes
sam kes 5 दिवसांपूर्वी
Why these comment section is full of idiots
Larry Booth
Larry Booth 5 दिवसांपूर्वी
The psychological ramifications of bifurcation: Homo erotic behavior is unexceptionable. Based on the endangerment of species propagation. X vs Y or X+Y? Is the question of survival.
James Russell
James Russell 5 दिवसांपूर्वी
It's clear that everything in the universe is orderly in some form or fashion. And that there are universal truths found everywhere that are simpler than we seem to think.
Miguel Gallardo
Miguel Gallardo 5 दिवसांपूर्वी
Extremely complex this will take some time to get it
Marco Tonta
Marco Tonta 5 दिवसांपूर्वी
This guy is smarted.
Majed Marji
Majed Marji 5 दिवसांपूर्वी
The bouncy hardware connoly mess up because fiberglass literally wander astride a smelly detail. awful, chief respect
Quick Quiz
Quick Quiz 5 दिवसांपूर्वी
This math is utterly fascinating! I never learned wasn't in school long enough really, which is a shame. I'm convinced there's the information it there to figure out the world and everything else. I'm since, self taught and can only imagine what I could've accomplished had I taken some math classes as a friend once suggested. I wish more kids today could understand how amazing everything is. Seems by the time you learn it, it never was really enough. Great view 👍👍
Jebroz
Jebroz 5 दिवसांपूर्वी
I don't get it all from start to end but still click like and add to favorite hoping someday I will find this useful and will understand the topic.
Jorge Carrasco
Jorge Carrasco 5 दिवसांपूर्वी
Sorprendente , fabuloso. La naturaleza esconde muchos secretos que aun no descubrimos. Apasionante. Saludos
grade abstract
grade abstract 5 दिवसांपूर्वी
The pretty hip naturally rot because distributor apparently annoy apropos a disagreeable dredger. aware, unarmed acknowledgment
W H
W H 5 दिवसांपूर्वी
4.6/2 = 2.3 I'm a 23rdian. I see it everywhere. is this a good thing or a bad thing, I really can't tell anymore lol
jane saul
jane saul 5 दिवसांपूर्वी
The unused objective inversely obtain because can positionally divide from a different flower. rightful, abstracted poultry
Michael Rogers
Michael Rogers 5 दिवसांपूर्वी
Is this how Newton’s balls work? Graphed?
Vigilance Rifles
Vigilance Rifles 5 दिवसांपूर्वी
Good show,
Justin McGuire
Justin McGuire 5 दिवसांपूर्वी
There is no spoon.
a11312
a11312 5 दिवसांपूर्वी
poor rabbits
Zach
Zach 5 दिवसांपूर्वी
If you were my teacher I would have loved math. Thanks for your videos
I AM ANTI UTOPIAN IDEAS
I AM ANTI UTOPIAN IDEAS 5 दिवसांपूर्वी
Sad. You dont know how to read cause youre brainwashed lol. Still interesting.
Be For
Be For 5 दिवसांपूर्वी
The unusual professor logistically offer because crayfish supposedly reach out a drunk toothbrush. lean, erratic offer
chul yeom
chul yeom 5 दिवसांपूर्वी
The naughty finger collaterally rob because mexico structurally check given a good name. chivalrous, spiffy modem
Farweasel
Farweasel 5 दिवसांपूर्वी
The bigger the poulation gets this year the *smaller* it will be next year? (circa 1 min 30 to 1min 38) Just take moment to think about that. it may be what the equation says - It doesn't seem to match what observational data shows 'though does it?
Kasra
Kasra 6 दिवसांपूर्वी
13:42 man don't scientists have better things to do? Like they oughta be curing cancer or something.
Chad mic mac
Chad mic mac 6 दिवसांपूर्वी
We live in a simulation
Malcolm Adams
Malcolm Adams 6 दिवसांपूर्वी
11 months 🤔 .. yes.”
Malcolm Adams
Malcolm Adams 6 दिवसांपूर्वी
To bad people don’t, can’t, and won’t, understand what you are showing. This truth will die in you.. and by this time you should know why¿ but then again there’s no telling. 🤔 shh. Huh what you do with this information is where the real magic is. H u m a n.
Malcolm Adams
Malcolm Adams 6 दिवसांपूर्वी
Ps the words^ this truth will die in you^ is not and in no way a declaration of war or inciting of riot. Case closed. Why must we protect the fragile ears of the populace. Maybe it is time to dig up that time capsule.
Malcolm Adams
Malcolm Adams 6 दिवसांपूर्वी
Ok ( RC Christian ) I was born in 79’ & my brothers initials are RC. So, what I call it is.. Quantum looping. Now what’s the key 🔑:
I Can Has KPop
I Can Has KPop 6 दिवसांपूर्वी
Change how I see the world? No, it didn't, but I did discover that this video makes a good alternative to sleeping pills.
Michael Foss
Michael Foss 6 दिवसांपूर्वी
I can remember reading that book by James Gleick in 6th grade. I heard him talk about it at the end and was like, "Oh my gosh, I remember that! That's so cool!"
BunkerFox
BunkerFox 6 दिवसांपूर्वी
So, this equation will change how I see the world, How exactly? There is nothing in here that would make me change how I see the world
Grafter Hutch
Grafter Hutch 6 दिवसांपूर्वी
Sir, this is a Wendy's 🍔
47_Shreyas
47_Shreyas 6 दिवसांपूर्वी
i forgot the value of pi and started telling it out as 4.669
Samuel Muse
Samuel Muse 6 दिवसांपूर्वी
I’m a single dad of two boys and one girl. I was so skeptical at first as I have lost some money in crypto in the past and couldn’t even think of losing more as I didn’t have enough to take us. But when I started investing with bitvest24, I became happy again as I have made everything I lost and even more, I’m glad for such opportunity! Bitvest24 made my family happy again, keep up the good works!
esteban collazo
esteban collazo 6 दिवसांपूर्वी
The cold defense neurochemically dare because key peripherally milk in a responsible news. skillful, ashamed ball
Matthew Dancz
Matthew Dancz 6 दिवसांपूर्वी
I bet it applies to government and learning too. I wonder if our lives use this in some way. Indeed the Universe/Multiverse may follow such a pattern.
John Green
John Green 6 दिवसांपूर्वी
For anyone confused by this, it is because it was explained incorrectly. He is reading from a script between 0:49 and 1:17 and he defines the equation incorrectly. He says that X is the population of rabbits. That is not what X is. By the time you are two minutes in, he starts talking about it correctly. But it is REALLY clear that the narrator has limited knowledge of the topic. He also does not accurately explain the Mandelbrot set. This channel is bogus. Don't watch it.
Blaq Shiep
Blaq Shiep 6 दिवसांपूर्वी
So then it wasnt actually CHAOS.. it was complex order... I like your videos alot... but you are misleading
Blaq Shiep
Blaq Shiep 6 दिवसांपूर्वी
chaos, at least how its defined, implies absence of order... True RNG... Which may or may not even exist in general... Surely, youre not going to tell me an science has cetegorically defined and ordered chaos, are you?
Jon Dewar
Jon Dewar 6 दिवसांपूर्वी
you lost me at "what"
4 KT
4 KT 7 दिवसांपूर्वी
The motionless toad inevitably spark because tire connolly ignore next a amazing spain. charming, obnoxious fibre
TrueChoppa
TrueChoppa 7 दिवसांपूर्वी
y’all didn’t bring up Nikola Tesla even once this was his life’s work
Steve LaPeters
Steve LaPeters 7 दिवसांपूर्वी
Veritasium: here’s a video of the bifurcation model. Me: ok. Sounds intriguing. (Click), let it rip. Veritasium: euddf353773eb265. 362gsbst2twjft3626agsgey3y2626fnfkg736{}/(,336{#:({)])]]). And then, if you simply 83heyey%4%;);), and then you 38374yeg,........ Me: 😳😳🤮🤮
Yuri Borzdy
Yuri Borzdy 7 दिवसांपूर्वी
"How did I get ot be 37 years old without hearing of the Feigenbbaum constant" -- my thoughts exactly. And there is a BS diploma in applied mathematics and physics collectng dust somewhere in my drawers. From a supposedly good univercity.
Assasin Z3r0
Assasin Z3r0 7 दिवसांपूर्वी
Well, l am 13 years old, but i understand almost everything ( becouse of language barrier. i am from Russia) But it's just amazing! I've never seen anything like this! And even if i won't study it at uneversity i'm going to do it myself. Thank you for this video, it's very good
RouterRage
RouterRage 7 दिवसांपूर्वी
"Simple equation"
Cyberknight
Cyberknight 7 दिवसांपूर्वी
i dont understand,,,,,
Getaids
Getaids 7 दिवसांपूर्वी
Lol, lab coats are retarded. They try to have metaphysics without God, which is impossible and retarded
Josh Pingleton
Josh Pingleton 7 दिवसांपूर्वी
If this interests you but you don’t understand much of what he is saying, go to your nearest community college see what level math your at, and work towards Calc 3. You make it that far this dude will be making wayyyyyy more sense to you then. Holler at me if you need help filling out the application/ fasfa, or tutoring.
Yzaes Duo
Yzaes Duo 7 दिवसांपूर्वी
And people say everything came out of nothing, nothing my asss. There is creator, A Master, Most Wise being, God! Everything created in a beautiful manner.
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