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6,982,405 Views • Dec 6, 2019 • Click to toggle off description
Animations by Prof. Robert Ghrist: ve42.co/Ghrist
Want to know more about chaos theory and non-linear dynamical systems? Check out: ve42.co/chaos-math
Butterfly footage courtesy of Phil Torres and The Jungle Diaries: ve42.co/monarch
Solar system, 3-body and printout animations by Jonny Hyman
Some animations made with Universe Sandbox: universesandbox.com/
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 epidemicsound.com/ "The Longest Rest" "A Sound Foundation" "Seaweed"
Views : 6,982,405
Genre: Education
Date of upload: Dec 6, 2019 ^^
Rating : 4.96 (2,299/225,874 LTDR)
RYD date created : 2022-04-09T21:45:42.33869Z
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YouTube Comments - 7,148 Comments
Top Comments of this video!! :3
Sensitive dependency on initial conditions: The exact present exactly predicts the future, but the approximate present doesn't approximately predict the future.
4.3K |
It's amazing how such a complex topic can be so entertaining and presented so understandable. It sparked my interest in the butterfly effect. I really loved the animations and examples of the points he made.
268 |
The relationship between this chaos theory, and the definition of insanity (doing the same thing over and expecting different results) is VERY intriguing.
164 |
And this is why I will always smile and compliment strangers. Idk what kind words or gestures could majorly effect someone’s life.
2.2K |
When they talk about time travel, people almost always state that they'd make enormous changes for present day with small actions in the past.
But rarely do people think that they can take small actions today to cause great change tomorrow.
7.2K |
The graphics, the explanation, the presentation, everything about this video is top class. I am just speechless.
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I'm pretty sure the "butterfly effect" is from Ray Bradbury's short story 'A Sound of Thunder', where a man changes the future by stepping on a butterfly on a hunting trip 60 million years in the past. The story was first published in 1952 so it's more than 50 years old. Great video!
115 |
"Sometimes when I consider what tremendous consequences come from little things, I am tempted to think... there are no little things."
- Bruce Barton
4.4K |
He explained such a complex topic with so much simplicity that i am just speechless.
5.7K |
You will never be the same person again. The more steps you take the more different you are. Even if you go back to the start you are different, and the place is different. I love how his explanations make me visualize concepts of my own existence.
45 |
Thank you so much! I've been so confused about the chaos theory in general and my textbooks weren't helping at all. You explained it all so well. Sincerely thank you.
11 |
If only someone had explained science this way when I was younger.
3.7K |
That's pure gold. 20 years ago I had the chance to study chaotic dynamical system during my undergraduate study in mathematics. There were a few good books on the subject, I remember an interesting video too, but nothing of that quality. To the younger generation: savor and take advantage of your luck!
1.2K |
Thank you Derek, after watching a series of motivational videos with no effects, this one actually made me shut down the screen and open my physics textbook!
15 |
Amazing video! I did my masters project on a parametric pendulum, and I wish I had something like this around then, shows the concepts so clearly
8 |
"That's on the scale of atoms, pretty insignificant on the scale of people," said the pile of atoms.
7K |
"The printer rounded to 3 decimal places whereas the computer calculated 6"
The ghost of significant figures
2.8K |
Cool!
This video reminded me of my professor of physics in the university who was obsessed with fractals and chaotic systems. Thanks for this explanation.
8 |
I've seen several of your videos and even recommended some to others. This is by far my favorite of your videos.
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@andrejferdinand388
3 years ago
Having a bad math teacher at very young age, has the butterfly effect on the rest of your life; for example
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