Chaos: The Science of the Butterfly Effect
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Publicado 2019-12-06
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"
Todos los comentarios (21)
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Sensitive dependency on initial conditions: The exact present exactly predicts the future, but the approximate present doesn't approximately predict the future.
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He explained such a complex topic with so much simplicity that i am just speechless.
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The relationship between this chaos theory, and the definition of insanity (doing the same thing over and expecting different results) is VERY intriguing.
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In the university of Alberta's science building there is a double pendulum in the main hallway in the basement where you can go and spin it yourself. Every time I spin that thing it never ceases to amaze me, making me think deeply about the nature of the universe
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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.
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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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This video is so good I keep Coming back to re-watch it time to time
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"Can I have chaos? " "Best I can do is a figure 8"
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"Sometimes when I consider what tremendous consequences come from little things, I am tempted to think... there are no little things." - Bruce Barton
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If only someone had explained science this way when I was younger.
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I'd love to see a video on the Hummingbird Effect! It's a very interesting one that I ended up reading about in the book "How We Got to Now" and I'd love to see a more visual take on it from you!
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your practical approach to this subject is just what i needed!
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And this is why I will always smile and compliment strangers. Idk what kind words or gestures could majorly effect someone’s life.
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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!
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questions like this keep me up all night
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the way you explain things is incredible.
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"The printer rounded to 3 decimal places whereas the computer calculated 6" The ghost of significant figures
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"That's on the scale of atoms, pretty insignificant on the scale of people," said the pile of atoms.
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As always: Awesome.
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A very helpful video on the buttercream effect
