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My favorite topic in dynamical systems: Chaos!!! This is what got me interested in applied math as an undergrad. The three body problem in planetary dynamics, the double pendulum, turbulence, and more!

437,182 views • 3 years ago •via X (Twitter)

11 Comments

Adham @ ICML 2025's profile picture
Adham @ ICML 20253 years ago

@eigensteve what tools do you use to create these stunning visuals? Namely the animations

Steven Brunton's profile picture
Steven Brunton3 years ago

Mostly matlab or python for plotting and keynote for presentation

Jonas's profile picture
Jonas3 years ago

Recently wrote about 'Attractor Gradient Descent', a synthesis of dynamic systems and machine learning .(chaos learning)

Steven Brunton's profile picture
Steven Brunton3 years ago

Neat, will check it out!

Dhruv Sheth's profile picture
Dhruv Sheth3 years ago

My favourite topic in dynamical systems is Chaos too and I discovered more about it and Ergodicity after learning some fundamentals of lagrangian mechanics from David Morin. Funnily, the topic inspired me to conduct research in a field of botany.

∇ₖPascal ∇ₚKwanten (∛) (Πασκάλ)'s profile picture
∇ₖPascal ∇ₚKwanten (∛) (Πασκάλ)3 years ago

@SVDMatrix double pendulum, triple pendulum,..., trouble pendulum;-)

Technologist's profile picture
Technologist3 years ago

I wish the video was longer, you got me hooked. Very well explained. Surprised @elonmusk hasnt shown up yet.

Sharon Lavery's profile picture
Sharon Lavery3 years ago

Even tho God did not bless me with a single math gene, I found this fascinating.

Sidعli's profile picture
Sidعli3 years ago

Caos theory is one of the most amazing things in math.

Haus | ignipax.eth's profile picture
Haus | ignipax.eth3 years ago

I don't think I've ever seen a lecture of a complex topic so well executed. Bravo - I'll be binging this incredible and fascinating series this week! Serious but tangential question: do you have any suggestions for comparable materials covering the biological sciences?

Steven Brunton's profile picture
Steven Brunton3 years ago

Awesome thanks!! I think there may be some biology video news soon. Stay tuned :)

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