Double Pendulum Chaos Demonstration
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- čas přidán 29. 08. 2024
- This is a simulation of three double pendulums with massless rods and equally weighted ends, positioned horizontally to the right and with deviations from that by + and - 0.5 degrees.
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See, this is why we can’t have nice swings.
How is this why?
@@super-awesome-funplanet3704 swings usually don’t have things that attach the seet to the top that stay completely straight. So if it was a chain, if not pushed hard enough it can work as a multi pendulum
@@tywad8697 Having chaotic swings would be a good thing.
@@super-awesome-funplanet3704 other than the fact that it would be an unimaginably worse experience than the longest roller coaster I guess it would be fun
Good joke 😂
kinda looks like a boss in a 2d game with 3 arms to cast magic
haha yea... reminds me of skeleton boss from terraria
There is a game about it:
czcams.com/video/glZJ4RtIyE0/video.html
lol skeletron
For its final attack... it crashes the game after n squared wiggles
I liked when the double pendulums said “it’s double penduluming time” and double pendulumed all over the graph.
That was good🤣🤣🤣
that crippled spider is groovin
Very nice simulation! Thanks for sharing!
intriguing
Imagine this vid blowing up in like 4 years from now
The time has come.
I watched and thought "I recognize this! This is my life, in linear format".
I genuinely cannot understand how 3 of them with initial conditions doesn't end up with final states of motion.
They're not in exactly the same initial conditions. Check the description
Came from 3 body problem serie in Netflix. Quite interesting 😅
First you saw one, then you saw three
congrats on 100 subs!
The ceiling's spider while you sleep:
They are trying to run away, free them.
chaos is cool
Why is it that the three pendulums end up following such dramatically different paths? I would expect that if they all had the exact same properties they would undergo the exact same motion in an isolated system.
It's a demonstration in chaos theory where minute changes in the initial conditions of a complex system can have large overreaching effects
+Candice Miller Ahh, I missed the part in the description saying that the initial conditions were slightly different.
Time
@@johnpuddu2948 space
@@machedue2027 spacetime
Tbh It looks like a three legged guy trying to walk
Hello, Izaak Weiss, I thank you very much for sharing the code in matlab, I am going to subscribe to your channel thanks.
Can you share the matlab code please? Thanks in advance :)
What software did you use for this demonstration, if I may ask?
Probably MATLAB.
It might be Python. At least that’s what I’m using to simulate this.
You mayn't
Used to do these all the time in college in MATLAB
The first 10 seconds are not unpredictable and at some point the system will stop moving and fall to rest in the middle. I guess the chaos is not absolute either
Doesn't a double pendulum have to be predictable if a computer can simulate it? How does the computer know what to run if it can't be predicted?
Isn’t it predictable if you know the initial conditions?
Isn’t it predictable if you know the initial conditions?
@@ThisUserPassedAway Yeah, it is. Realized after
It doesnt have to be predictable for a computer to simulate it, a computer can only simulate the movement in a small period of time, but it keeps on doing that over and over again. At no time you have the full equation of the position over time. Basically you cant predict how its going to be 30 seconds from now just based on the position it is now, you would have to evaluate everything in between. Ill link a good video with a better explanation
czcams.com/video/mm3I4m8YsnM/video.html
But why does this happen!? Why wouldn't they all react the exact same way? Is this phenomenon explained somewhere? I have many questions.
It's because the three pendulums' starting angles are very very very sliiiiightly different: two are +/- 0.5 degrees away from the middle one. Then, once you let go all three and just let them waggle all over the place, over time these differences magnify and blow up and produce this chaotic behaviour.
can I use this graphic for my ig reel? i'll credit you of course!
Give me a reason of why I laughed so hard on this
brain damage
Brain damage
brain damage
brain damage
Brain damage
How come we can't intuitively predict this simple complex system but we can predict the climate for the coming 200 years despite being a complex complex system?
That's because of both "frictions" (external forces/energy sources) and what specific data you are actually trying to gather :
Let me explain what I mean, if you include friction, I can predict the position of these 3 pendulums after enough time, they will stop swinging and hang in the same exact place, that means I can predict a final position.
Temperatures are oscillating, no one can predict what the exact temperature in the same spot will be in a year.
However, trends can show us that the average temperatures are increasing, and it's as obvious as the fact that in a system with finite energy and friction, the pendulum will stop.
That doesn't mean I can accurately predict when it will stop, but would be able to see that it's slowing on average, and guess how average speed may evolve in the futur.
look like spider...
00:00 - 00:05 what people believe science is
00:25 - 1:23 what science really is
What is the basic difference between blue, green and red ones? Have they different initial condition? Are we learn butterfly effect or am i wrong?
They do have different intitial conditions, according to the description. Needless to say 0.5 degree difference is almost unseen in this resolution and size
DarkBabylon thank you :)
That's explain all
Are these pendulums in vaccum or are they facing any friction whatsoever??? why didnt they come to a halt???
You answered your own question.
Energy is constant overtime, so it keeps moving
Actually because you can’t fully approximate this motion, energy is eithere steadily increasing or decreasing depending on the order in which you put the equations of motion.
When you try to run from the true reality but equipped with RGB trail to learn the wisdom behind every step you took with your body heartmind and soul for you to awaken and be prepared for the end of time and truly Believe in Allah
0:20 looks like someone dancing
The other star system I am orbiting (we are a binary star system) when I get a little crazayy
My brother said it looks like a creature walking
And they always ask why I’m scared of math
looks like my mother's salad bowl
Chaos is not a pit, but a ladder!
Game of thrones!! Game of THRONES!!!
if anyone wants to try with some own start-conditions: github.com/jonas37/double_pendulum/
very chaotic dont understand
All meaning less random are like individual unjustified or justified reaction to circumstance and it random. Because of difference preference or experience but it all within the range of and domain of physical limitations except some extreme individual who trained themselves in different way or mean beyond the predictable pattern of limitations or conditional of fear or hate or greed those normally controlled people behavior. If people have ability financially 90% would make the right choice in life and no one choose to go to the wood like if Buddha has today science he would not leave like he did like Devinci had designed all good invention but the evil banker would not interest because slavery and cocaine make more satisfaction for bankers. In other words you are not a pendulum. You are a human.
What are you smoking man, I want some....
You said it, Chewie