Chaos Theory: the language of (in)stability

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  • Опубліковано 25 гру 2024

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  • @bramlentjes
    @bramlentjes 3 роки тому +1526

    As a graduate student in Mathematics with speciality in (infinite dimensional) dynamical systems and differential equations, I must admit this has to be one of the most beautiful videos on the internet about this topic!

    • @Gonkee
      @Gonkee  3 роки тому +73

      Appreciate that!

    • @GS-hv9rd
      @GS-hv9rd 2 роки тому +18

      So when you go on a date, how exactly do you tell them you’re a genius? Just say what you’re studying? Or maybe save that fo when you need to confuse them really quickly.. Haha. Talk about setting the bar high…

    • @SuperDuperSigmaMale
      @SuperDuperSigmaMale 2 роки тому +19

      @@GS-hv9rd Most intelligent people are humble so he most likely doesn't make a big deal about it, he simply tells them.

    • @Zoot710
      @Zoot710 2 роки тому +16

      @@SuperDuperSigmaMale truly intelligent people know they aren't truly intelligent so he'd most likely just not say anything ab being a genius (he definitely is tho)

    • @andrewacornwell8678
      @andrewacornwell8678 2 роки тому

      ua-cam.com/video/uzJXeluCKMs/v-deo.html

  • @LucasMalandrino
    @LucasMalandrino 3 роки тому +2046

    That transition to master oogway was so smooth, I'm still shocked

    • @abhijithcpreej
      @abhijithcpreej 3 роки тому +56

      He has an Oogway with words.

    • @joezcool
      @joezcool 3 роки тому +55

      the fact that this was top comment put me on edge like the whole video until the transition

    • @RodrigoTakehara
      @RodrigoTakehara 3 роки тому +8

      The video was so well made and well explained, and had no self promotion at all, I was predicting it would have some “please like and subscribe”, I didn’t predict that transition at all

    • @fjames208
      @fjames208 3 роки тому

      Me too

    • @Thisisnotmyrealname8
      @Thisisnotmyrealname8 3 роки тому

      I fainted.

  • @doommarine4239
    @doommarine4239 3 роки тому +14

    I feel like this is one of those videos that you would only watch at 3 a.m. and I love it.

  • @nix3l_
    @nix3l_ 3 роки тому +679

    You are CRIMINALLY underrated my guy. You explain everything clearly and keep me interested all throughout. The animations are stellar and you make everything feel intuitive.
    Edit: he just quoted master oogway, we need more people like you

    • @Gonkee
      @Gonkee  3 роки тому +32

      Thank you, I appreciate it!

    • @itsjustleo3371
      @itsjustleo3371 3 роки тому +2

      jellyfish logo, very creotive!

    • @natew4724
      @natew4724 3 роки тому

      @@itsjustleo3371 It's Jeremy from Creosphere

    • @eccentricity23
      @eccentricity23 3 роки тому +2

      Yeah, I have seen similar videos by Veritasium and 3Blue1Brown, and this is on par or better. I would like to study this field more academically once I have reached a sufficient level of education :)

    • @duccline
      @duccline 3 роки тому

      YO WTF CREO JELLYFISH

  • @legalnut9950
    @legalnut9950 3 роки тому +228

    I like how we are the og fans of this channel xD

  • @teehee2589
    @teehee2589 3 роки тому +53

    If anyone, like me, was confused by the apparent intersection at 7:45, remember that the curve is actually in 3D. The x and y values might be the same but the z value will be different.

    • @valaysalve2388
      @valaysalve2388 3 роки тому +9

      Also it is the del vector, that doesn't match up, if it were to match the the initial position for next step would be the same, making a loop.

  • @nicolas48210
    @nicolas48210 3 роки тому +126

    This is such high quality work!
    Thank you very much for your effort, it is really appreciated!

  • @darioisakovic7802
    @darioisakovic7802 3 роки тому +52

    "Do you still think there's nothing to chaos theory?"
    - Half Life Scientist

  • @bonkybonk_ow2793
    @bonkybonk_ow2793 3 роки тому +3

    usually i put videos like this on 1.5 because of my brain dead attention span, but you managed to keep me interested, good job!

  • @mohamedlotfi982
    @mohamedlotfi982 2 роки тому +3

    Simply put, that was by far the best introductory video on chaos theory I have seen out of 10s of videos I have watched. Truly wonderful!

  • @henryg7474
    @henryg7474 3 роки тому +9

    I was just stuck on a chapter of a book about this exact subject, perfect timing!

  • @saikatmajumder3284
    @saikatmajumder3284 3 роки тому +3

    I can't believe you used my favourite quote in a video about my favourite topic! You deserve more man! Keep up the good work!!

  • @valaysalve2388
    @valaysalve2388 3 роки тому +1

    The return of the legend

  • @kofiekue7386
    @kofiekue7386 3 роки тому +1

    the quality of your videos is insane, underrated af

  • @inon4037
    @inon4037 3 роки тому +35

    NEW VIDEO WOOOOOOOOO

  • @TheGamingHungary
    @TheGamingHungary 3 роки тому +28

    Doing mechanical engineering modelling, I so wish you were my math teacher this semester. You basically covered more topics in 13 minutes, which our prof failed to make us understand and learn in 13x6x45minutes.
    This is just beautiful, something that is worth to learn, study but it was not taught too well.

    • @brianriely8107
      @brianriely8107 3 роки тому +1

      where does the 6 come from? I would have expected 13x3*45

  • @Chadderbox
    @Chadderbox 3 роки тому +1

    This man comes once every few months and pops up in my subscriptions tab, and I just have to immediately drop everything and take a peek.

  • @FunkyJeff22
    @FunkyJeff22 3 роки тому +321

    How do you do research for your videos? You've covered so many different topics in different fields more in depth than most popular science channels do. It's impressive.

    • @Gonkee
      @Gonkee  3 роки тому +206

      I google the topic with filetype:pdf at the end

    • @SYBIOTE
      @SYBIOTE 3 роки тому +16

      @@Gonkee so research papers mainly?

    • @davidherrera4837
      @davidherrera4837 3 роки тому +56

      @@SYBIOTE Research papers are sometimes very dense. However, you can find many tutorials and introductions online.
      For instance, he nicely summarized a part of what you would get in a course in nonlinear analysis.

    • @abraruralam3534
      @abraruralam3534 Рік тому +3

      There is a huge market for research paper to infotainment conversion.

  • @tomaszmuza1957
    @tomaszmuza1957 3 роки тому +7

    What a quality of production. I'm amazed this needs more recognition

  • @nonamenofamily405
    @nonamenofamily405 3 роки тому +4

    The best video on chaos theory I've seen, and I've seen a lot! Clear and simple yet not trivial. Perfect balance between maths, graphics and explanations. Congrats 👍

  • @philipmilosevski2879
    @philipmilosevski2879 7 місяців тому +1

    This is one of the greatest videos I've seen, well done! The kungfu panda quotes caught me of guard and cracked me up

  • @carly09et
    @carly09et 3 роки тому +7

    Nice, thank you for this. I was looking for a reminder of the Lorenz's Attractor. This is very clear, I have been thinking on this for over fifty years AND I learned something from this presentation. Thank you again. The problem I'm looking at is the measuring of the measuring of REAL's

  • @irmakakyldz1382
    @irmakakyldz1382 Рік тому

    I'm flabbergasted how this video is so informative and visually sophisticated... the outro really made me question my worth and aim in life though. thanks man!!!

  • @baaaaaaaaaaaaaaaaaaaaaaam
    @baaaaaaaaaaaaaaaaaaaaaaam 3 роки тому

    Wow I have not been paying attention to the number of views on these videos
    your channel is criminally underrated

  • @salmon4402
    @salmon4402 3 роки тому +1

    Very few channels get a subscribe, on the first video I watch of them, and even fewer get a bell, good job my dude =)

  • @lukedigiovanna9544
    @lukedigiovanna9544 3 роки тому +3

    Wtf i finished this video expecting it to have at least 50k views. U deserve better 😭

    • @aka1782
      @aka1782 3 роки тому

      wtf sameee 😭

  • @hortonzkog609
    @hortonzkog609 3 роки тому +1

    imagine there is this kind of a user-friendly public website/resources where it has a great amount of tutorial about physics featuring the pros and cons with a very direct fat information and data.

  • @sheltondany8209
    @sheltondany8209 3 роки тому +3

    damn bro that was the coolest thing this week !

  • @vaheakli4551
    @vaheakli4551 3 роки тому +3

    Absolutely beautiful. Thank you for your decision to start to make videos. Your videos are radiance of millions of stars in the sky of youtube!

  • @dundee2858
    @dundee2858 3 роки тому

    Best math channel on UA-cam hands down

  • @matthewlambrechts6351
    @matthewlambrechts6351 3 дні тому

    Thank you for this beautiful video. Clear explanations with aberrant simulations ! I wish you all the best !

  • @miguelgomezsierra5662
    @miguelgomezsierra5662 3 роки тому +1

    This is my new favorite channel

  • @no-bk4zx
    @no-bk4zx 3 роки тому +18

    So, I discovered your channel when you had just dropped the Music and Sound Synthesis video and I have to say, you are incredibly underrated, as other commenters have also pointed out. For 17K subs, the level of visuals and detailed explanations without making it super complex is a very tough task and it seems like you have perfected it witt only 5 videos lol.
    Amazing channel, keep uploading and some day you will blow up. Trust me. The only UA-camr I can think of with a similar video style would be Zach Star(aka MajorPrep) but your visuals have a higher detail and quality to it.
    I have really no criticism except at some parts it felt like you were going a little bit too fast but to be honest, great work, keep doing this and please don't stop putting memes in your videos just make sure to not do too much of it ( That Master Oogway quote at the end was brilliant ).
    I am sure you will blow up soon so don't forget me ;).

  • @LorddirtGaming
    @LorddirtGaming 3 роки тому +5

    that ending was amazing, especially with the music

  • @priyadarshimukherjee9571
    @priyadarshimukherjee9571 3 роки тому +1

    That was smooth...really smooth! I don't think that I have come across any video till date that explains chaos in simpler terms.

  • @jocker6271
    @jocker6271 3 роки тому +1

    Very high quality video, I have no complaints
    Edit: also love the music choice, I am a big fan of synthwave

  • @psibarpsi
    @psibarpsi 3 роки тому +1

    Glad to be here before this channel blows up.

  • @CreaniKun
    @CreaniKun 3 роки тому +3

    11:04 that was so interesting, and extremely new for me, I've never seen such a calculation and it was so helpful! Definitely worth a sub, keep up the great work dude!

  • @abdosalah22
    @abdosalah22 2 роки тому +1

    How on earth you are not +1 million subscribers? Your content is wonderful !

  • @fredward3410
    @fredward3410 Рік тому

    I really want to believe that you made this entire video for the sole purpose of that ending

  • @eshnd-1
    @eshnd-1 Рік тому

    Whoever named Chaos Theory needs a raise

  • @Angel-vc3bw
    @Angel-vc3bw 3 роки тому +8

    Everytime you post a video it feels like christmas

  • @alexfan3279
    @alexfan3279 3 роки тому +6

    I’ve been learning Nonlinear Systems, which also introduced phase plane, equilibrium types and Lyapunov stability.
    Your video is awesome. I found the contents familiar and intelligible. I’m now expecting to learn more about chaos.

  • @alchemist2048
    @alchemist2048 3 роки тому +16

    Your quality is unbelievable, massively underrated. You should expand to doing contents on other things such as mysteries , strange events , frauds , unsolved cases, explaining complex things(quantum computers, blackholes etc..). You've got the soothing voice and editing skills , perfect match for an educational channel. After Lemmino and ColdFusion , I add Inspecto to my list.

  • @ericornelasmath
    @ericornelasmath 3 роки тому +1

    This is god damn incredible. Quality Quality video and channel.

  • @erichopp244
    @erichopp244 3 роки тому +1

    This is some high quality stuff! Definitely proud to be one of your early fans ;)

  • @juliankandlhofer7553
    @juliankandlhofer7553 3 роки тому +2

    You know what's also a gift? Your channel!
    Awesome as always 👍👍

  • @chemaguerra1635
    @chemaguerra1635 2 роки тому +2

    These videos are GOLD. Thank you!

  • @Kingjeffkoch
    @Kingjeffkoch Рік тому +1

    tfw you have no idea what you just watched but still enjoyed it

  • @solphe
    @solphe 2 роки тому

    Unpredictable ending - great way to give an example of the Chaos Theory using the actual punchline

  • @neutral_8803
    @neutral_8803 3 роки тому +1

    This is massively underrated but what would make this stand out is if you used music unique to you, other than the 'typical' UA-cam background music, a great example of this is Sebastian Lague's choice of music.

  • @niels.m
    @niels.m 3 роки тому +1

    Amazing video! You're gonna blow up in no time!

  • @donovanholm
    @donovanholm 3 роки тому +7

    This is why I subbed!

  • @nejcbezget47
    @nejcbezget47 3 роки тому +8

    Great video! The transitions between different sections remind me of Lemmino

    • @Gonkee
      @Gonkee  3 роки тому +4

      That's exactly what I was going for :)

  • @gehteuchnichtsan7911
    @gehteuchnichtsan7911 3 роки тому +3

    Damn. This was awesome. Your explanation on this topic was so simple and elegant. Thank you. This topic one of the most interesting I think because I believe that this is how nature and evolution works. It's genius how it's possible to use the language of mathematics to describe it but it still is impossible to predict nature.

  • @Xingchen_Yan
    @Xingchen_Yan 3 роки тому +1

    Bro this video is absolutely an incredible job! Love the details, the simplicity, the smooth logic, and the visual presentation. You should definitely keep this up cuz bro video like yours makes me wanna learn more and learn harder and you cannot refuse anyone who wants to learn.

  • @emcomputer
    @emcomputer 3 роки тому

    You're criminally underrated

  • @ujjwalpandey1571
    @ujjwalpandey1571 3 роки тому +6

    This is why I still have an internet connection my dude!!
    thank you for the amazing perspective!!
    EDIT: Why aren't you having a discord server already?!

  • @drxyd
    @drxyd Рік тому +1

    Beautiful video.

  •  3 роки тому +2

    How amazing is that! Thank you very much.

  • @truffleshuffle314
    @truffleshuffle314 3 роки тому +2

    Really good introduction, good luck on the channel my guy

  • @okay2037
    @okay2037 3 роки тому +2

    High quality shit man keep it up you’ll be big one day

  • @Julian-tf8nj
    @Julian-tf8nj Рік тому +1

    superbly presented in an unbelievably concise manner! Thanks!

  • @Joeleo
    @Joeleo Рік тому +3

    12:31 Thank you pixelated master oogway

  • @CheshireArt_
    @CheshireArt_ Рік тому +1

    Some high level stuff right here. My brain stopped analyzing by 9 mins........

  • @fadingstarlight8
    @fadingstarlight8 Рік тому +1

    "In a strange attraction two points that started at the same spot will never meet again" ... like my old high school crush.

  • @mecidgaliba2854
    @mecidgaliba2854 3 роки тому +3

    Wow, I am amazed! Thanks for this gem.

  • @christosgalanis5984
    @christosgalanis5984 9 місяців тому

    Watching this well structured and informative video in 2024. You did a really great job. Thank you for your knowledge shared and your time!

  • @Himanshu-wg3ib
    @Himanshu-wg3ib 3 роки тому +3

    This video explained this concept so well. Thanks a lot man :)

  • @hortonzkog609
    @hortonzkog609 3 роки тому

    Broh, you really had this great explicite explanition! Really comprehensive! Excuse to my very chaotic spelling and what not.

  • @BLAISEDAHL96
    @BLAISEDAHL96 3 роки тому +1

    Thank You for this.

  • @eapenninan4950
    @eapenninan4950 3 роки тому

    Plain,simple,powerful. Congrags

  • @brendawilliams8062
    @brendawilliams8062 3 роки тому +1

    It is nice as far as the subject matter. Thx.

  • @Baahaz
    @Baahaz 3 роки тому +3

    This is an amazing video. Thank you.

  • @Scrawlerism
    @Scrawlerism 2 роки тому

    Just found you and loving all of these. Please don’t stop having as much of the math and code in the vids as possible!

  • @tupacalypse88
    @tupacalypse88 Рік тому

    My man you blow my mind every video please keep doing you buddy 👍👍👍

  • @A.KSPIDER
    @A.KSPIDER 7 місяців тому

    Loved the explanation. Please consider making a series on NLD.

  • @Andrew.baltazar
    @Andrew.baltazar 3 роки тому

    Quickest sub in a while

  • @na4jkbcdhfaikkmhdehn42
    @na4jkbcdhfaikkmhdehn42 3 роки тому +1

    This is going to be in everyone's recommendations in 2 years

    • @matthewuzhere
      @matthewuzhere Рік тому

      2 years later and here i am… looks like you were right

  • @lachlancooke
    @lachlancooke 3 роки тому +57

    “There are no accidents” - Master Oogway

    • @anhbayar11
      @anhbayar11 3 роки тому +1

      "World is full of accidents and chaos"
      - who cares(name)

    • @shakisyaboi991
      @shakisyaboi991 3 роки тому +1

      @@anhbayar11 happy little accidents

  • @Brazil-loves-you
    @Brazil-loves-you 3 роки тому +2

    Wow I liked this video very much, it is very easy to follow

  • @AICoffeeBreak
    @AICoffeeBreak 3 роки тому +1

    This video is so great! 💪

  • @EggoTree
    @EggoTree 3 роки тому +1

    great video, thanks man. I've been wondering about this stuff for a while

  • @aidancriner
    @aidancriner 3 роки тому

    great video

  • @naufalmEZa
    @naufalmEZa Рік тому

    Efficient Engineer "weirder" brother, subscribed

  • @MrAman47
    @MrAman47 3 роки тому

    I like the way you present stuff, also, ending made me giggle.

  • @computernoise2209
    @computernoise2209 3 роки тому +5

    I just spent 12 minutes learning about exponentially increasing uncertainty, and I leave only remembering "mmm, monke."

  • @vidalskyociosen3326
    @vidalskyociosen3326 3 роки тому

    The sound effects similar to The Stranger Things movie is so catchy it makes the explanation exciting.

  • @loirenhuh
    @loirenhuh Рік тому

    You make such as art of teachings

  • @DillyDallysDelights
    @DillyDallysDelights 3 роки тому +1

    This is so cool! Awesome and very well explained video

  • @christopherwalsh3101
    @christopherwalsh3101 3 роки тому

    the music for the transition slides was dope!

  • @elimain1261
    @elimain1261 3 роки тому +1

    This is an excellent video

  • @plasmarade
    @plasmarade 3 роки тому +6

    I remember when inspecto's channel was at 700 subs and now he's at 17k
    You can only explain this by the fact his videos are high quality

  • @phroskies
    @phroskies 2 роки тому +2

    "John doesn't subscribe to the theory of chaos"

  • @willrandall4012
    @willrandall4012 2 роки тому

    Such a high quality video!

  • @omidpakbin
    @omidpakbin Рік тому

    Fantastic video! Great job.

  • @meirbookatz8304
    @meirbookatz8304 3 роки тому +1

    Wow, incredible video! Only took this one video for me to subscribe.

  • @nyscersul42
    @nyscersul42 3 роки тому

    Beautifully done video. Attractive visually, well described, and... in some ways most important, the pause for thought between statements. *subscribed* :)

  • @Binyamin.Tsadik
    @Binyamin.Tsadik 3 роки тому +2

    Good job, earned my sub!

  • @krishna2803
    @krishna2803 3 роки тому +2

    thanks for the amazing content mate :)