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!
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 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)
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
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
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 :)
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.
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.
@@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.
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.
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
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 RUclipsr 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 ;).
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 👍
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.
Obviously, I don't understand this material fully, but the visualization really helps me to understand that there is a limited possible space but that two different entities can never be the same.
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.
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.
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?!
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.
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!
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!!!
This is massively underrated but what would make this stand out is if you used music unique to you, other than the 'typical' RUclips background music, a great example of this is Sebastian Lague's choice of music.
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.
In his video about epidemiology - ruclips.net/video/xsmV6Oi1k7o/видео.html He answered someone - "I'm writing my own graphics library with Java as I make these videos, which uses LWJGL and NanoVG." Edit: Thanks @LimitedWard, I was actually searching for this!
It isn't difficult. For the dual Lorenz animation around 8:00 I wrote a program and you can get it free here: www.fractal-animation.net/progz/filez.html .
this is fucking beautiful. there is no way to know its trajectory without running and tracing??! because it runs partially through higher dimensions?? fucking brilliant!!
Really well presented video! Also I had no idea that lambda stood for something. I always thought it was some arbitrarily assigned coefficient. There's definitely always something new to learn
Beautifully done video. Attractive visually, well described, and... in some ways most important, the pause for thought between statements. *subscribed* :)
I feel stupid to say this, but I can't help myself. In the second part of the video, you mentioned the phase space and something didn't seem right... What you were showing us was the configuration space, not a phase space. I'm not hating or being cheeky (correcting the professor etc.), but configuration space is to show "a picture" of the particle in a given time, or a trajectory (which was well visualised). The phase space here would actually be 4-dimensional and would represent the evolution of coordinates to the projections of velocity (or momentum). It would be interesting to show this kind of diagram, too (obviously not in 4D, but twice in 2D like two phase spaces for each coordinate). But I guess when you add the vector field into it, it's kind of the same thing. It's a great video, nice visualisation, I'm not hating it or anything, just adding something extra, maybe a suggestion for your next vid ;)
A couple of tweaks: an aperiodic orbit is not necessarily chaotic, just aperiodic. And orbits that go near everywhere within an attractor are also not necessarily chaotic, either, they are what's called ergodic. An example of one that has both properties but no chaos is suppose that the attractor of a system is the two torus (donut). Unwrap the torus to a sheet, and start at the bottom lower corner and pick a straight line that has an irrational slope. Roll the torus back up. This orbit will go around and around the torus never coming back to where it started - so it's aperiodic. Over time, it will have wrapped around between its previous twistings filling the space like grooves on a phonograph record. So it will go everywhere. But it is not at all chaotic.
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!
Appreciate that!
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…
@@GS-hv9rd Most intelligent people are humble so he most likely doesn't make a big deal about it, he simply tells them.
@@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)
ruclips.net/video/uzJXeluCKMs/видео.html
That transition to master oogway was so smooth, I'm still shocked
He has an Oogway with words.
the fact that this was top comment put me on edge like the whole video until the transition
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
Me too
I fainted.
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
Thank you, I appreciate it!
jellyfish logo, very creotive!
@@itsjustleo3371 It's Jeremy from Creosphere
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 :)
YO WTF CREO JELLYFISH
I like how we are the og fans of this channel xD
treu
true*
Me 2 feels good
True that
Hey guys how does it feel to be able to witness it all from the beginning? 😅
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.
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.
I feel like this is one of those videos that you would only watch at 3 a.m. and I love it.
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.
I google the topic with filetype:pdf at the end
@@Gonkee so research papers mainly?
@@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.
There is a huge market for research paper to infotainment conversion.
This is such high quality work!
Thank you very much for your effort, it is really appreciated!
I was just stuck on a chapter of a book about this exact subject, perfect timing!
This is one of the greatest videos I've seen, well done! The kungfu panda quotes caught me of guard and cracked me up
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.
where does the 6 come from? I would have expected 13x3*45
"Do you still think there's nothing to chaos theory?"
- Half Life Scientist
NEW VIDEO WOOOOOOOOO
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!
What a quality of production. I'm amazed this needs more recognition
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
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!
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 RUclipsr 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 ;).
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!!
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 👍
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.
that ending was amazing, especially with the music
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.
Obviously, I don't understand this material fully, but the visualization really helps me to understand that there is a limited possible space but that two different entities can never be the same.
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.
Great video! The transitions between different sections remind me of Lemmino
That's exactly what I was going for :)
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!
Wtf i finished this video expecting it to have at least 50k views. U deserve better 😭
wtf sameee 😭
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.
the quality of your videos is insane, underrated af
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?!
That was smooth...really smooth! I don't think that I have come across any video till date that explains chaos in simpler terms.
Everytime you post a video it feels like christmas
damn bro that was the coolest thing this week !
Very few channels get a subscribe, on the first video I watch of them, and even fewer get a bell, good job my dude =)
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.
Wow I have not been paying attention to the number of views on these videos
your channel is criminally underrated
Very high quality video, I have no complaints
Edit: also love the music choice, I am a big fan of synthwave
You know what's also a gift? Your channel!
Awesome as always 👍👍
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!
How on earth you are not +1 million subscribers? Your content is wonderful !
The return of the legend
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!!!
This is massively underrated but what would make this stand out is if you used music unique to you, other than the 'typical' RUclips background music, a great example of this is Sebastian Lague's choice of music.
Unpredictable ending - great way to give an example of the Chaos Theory using the actual punchline
Some high level stuff right here. My brain stopped analyzing by 9 mins........
Loved the explanation. Please consider making a series on NLD.
This is some high quality stuff! Definitely proud to be one of your early fans ;)
This video explained this concept so well. Thanks a lot man :)
superbly presented in an unbelievably concise manner! Thanks!
This is god damn incredible. Quality Quality video and channel.
These videos are GOLD. Thank you!
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.
How amazing is that! Thank you very much.
Wow, I am amazed! Thanks for this gem.
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
Almost 100k now!
Now he's at 102K! :)
“There are no accidents” - Master Oogway
"World is full of accidents and chaos"
- who cares(name)
@@anhbayar11 happy little accidents
High quality shit man keep it up you’ll be big one day
This is my new favorite channel
Amazing video! You're gonna blow up in no time!
Really good introduction, good luck on the channel my guy
Watching this well structured and informative video in 2024. You did a really great job. Thank you for your knowledge shared and your time!
This is good news on predicting the future for each multiverse paths we take in our livable lives, it can't be predicted.
I just spent 12 minutes learning about exponentially increasing uncertainty, and I leave only remembering "mmm, monke."
Just interacting for algorithm points to you!
Best math channel on RUclips hands down
3n+1 conjecture and the n body problem made me realize that universe is inherently unpredictable.
yeah it's mind blowing. I never knew there was a theoretical equation to attempt to predict or calculate it
It is nice as far as the subject matter. Thx.
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!
This is an amazing video. Thank you.
What software do you use to make these BEAUTIFUL animations?
He could be using manim, the software developed by 3blue1brown: github.com/3b1b/manim
In his video about epidemiology - ruclips.net/video/xsmV6Oi1k7o/видео.html
He answered someone - "I'm writing my own graphics library with Java as I make these videos, which uses LWJGL and NanoVG."
Edit: Thanks @LimitedWard, I was actually searching for this!
It isn't difficult. For the dual Lorenz animation around 8:00 I wrote a program and you can get it free here:
www.fractal-animation.net/progz/filez.html
.
He said on his video that he uses a program coded by himself
Beautiful video.
great video, thanks man. I've been wondering about this stuff for a while
I really want to believe that you made this entire video for the sole purpose of that ending
Glad to be here before this channel blows up.
"John doesn't subscribe to the theory of chaos"
This is why I subbed!
this is fucking beautiful. there is no way to know its trajectory without running and tracing??! because it runs partially through higher dimensions?? fucking brilliant!!
Broh, you really had this great explicite explanition! Really comprehensive! Excuse to my very chaotic spelling and what not.
Really well presented video! Also I had no idea that lambda stood for something. I always thought it was some arbitrarily assigned coefficient. There's definitely always something new to learn
Thank You for this.
tfw you have no idea what you just watched but still enjoyed it
Whoever named Chaos Theory needs a raise
Efficient Engineer "weirder" brother, subscribed
You make such as art of teachings
Fantastic video! Great job.
Wow I liked this video very much, it is very easy to follow
Beautifully done video. Attractive visually, well described, and... in some ways most important, the pause for thought between statements. *subscribed* :)
Wow youtube served this video at my home page (at 1st position)👍🏼👍🏼👍🏼
Plain,simple,powerful. Congrags
This is so cool! Awesome and very well explained video
Bro the ending had me wilding, like bro,, what do you *know*?🧐🕵️♂️
the music for the transition slides was dope!
The sound effects similar to The Stranger Things movie is so catchy it makes the explanation exciting.
I like the way you present stuff, also, ending made me giggle.
I feel stupid to say this, but I can't help myself. In the second part of the video, you mentioned the phase space and something didn't seem right... What you were showing us was the configuration space, not a phase space. I'm not hating or being cheeky (correcting the professor etc.), but configuration space is to show "a picture" of the particle in a given time, or a trajectory (which was well visualised). The phase space here would actually be 4-dimensional and would represent the evolution of coordinates to the projections of velocity (or momentum). It would be interesting to show this kind of diagram, too (obviously not in 4D, but twice in 2D like two phase spaces for each coordinate). But I guess when you add the vector field into it, it's kind of the same thing.
It's a great video, nice visualisation, I'm not hating it or anything, just adding something extra, maybe a suggestion for your next vid ;)
Thought this was a video of 3Blue1Brown when I clicked on it. Was not disappointed.
Wow, incredible video! Only took this one video for me to subscribe.
You're criminally underrated
A couple of tweaks: an aperiodic orbit is not necessarily chaotic, just aperiodic. And orbits that go near everywhere within an attractor are also not necessarily chaotic, either, they are what's called ergodic. An example of one that has both properties but no chaos is suppose that the attractor of a system is the two torus (donut). Unwrap the torus to a sheet, and start at the bottom lower corner and pick a straight line that has an irrational slope. Roll the torus back up. This orbit will go around and around the torus never coming back to where it started - so it's aperiodic. Over time, it will have wrapped around between its previous twistings filling the space like grooves on a phonograph record. So it will go everywhere. But it is not at all chaotic.