The Anatomy of a Dynamical System

Dynamical systems are how we model the changing world around us.

This video explores the components that make up a dynamical system.

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This video was produced at the University of Washington

[wissalzaher]

the clarity in your style of delivering knowledge is priceless. I can binge watch your videos for hours, as a mechanical engineering student having access to this is a true blessing. This changes my whole perspective on life and makes this learning journey so enjoyable. I'm grateful for your contribution Professor :)

[naikshibabrat]

"Nonlinearity is what gives us job security in dynamical systems" Brunton 2021

[psychii]

This is one of the best introductions to dynamical systems someone could give

[intjengineering]

Some people say that the Uni you're in doesn't matter, that it all depends on you. Even I use to see it that way, and yes, that's true. You should be the main character, whether your Uni is a world first class institution or not. But then I come here and see the kind of Professors these top universities have. a difference. Steve knows so much about System Dynamics, can explain so well, can engage, motivate you, and so on. Also, you see his passion for teaching. That's amazing.

[ベトコン-gp]

OMG I felt the whole universe being in my head after watching this

[CallOFDutyMVP]

It was 3am and I was about to sleep 💤but then Dr. Brunton uploads a video on nonlinear dynamics, I'm staying up! Excellent work as usual, in presentation. You can tell you know much about dynamic systems and we can read your passion. Thank you for your contribution to human knowledge!

[emiliew]

Amazingly clear and accessible explanation, thank you!

[chronicnerd]

Amazing work as usual Professor Brunton. I guess now I would also become extremely interested in Dynamical Systems as well. I have developed a great enthusiasm already in data-driven methods for engineering because of your lectures and your book. Thank you once again for sharing this extremely awesome content.

[joseantoniogonzalezprieto]

These videos are extremely educative and really stunning, but they are also extremely beautiful. Please accept my gratitude for this invaluable contribution.

[tylernardone]

Fantastic lecture! And a fantastic set of series on this channel thank you Professor Brunton!

[luisleal]

A complete course on dynamical systems from you would be a gift to humanity

[StatisticallyInsignificant]

These are fantastic videos. Thank you for making them public

[jhightower]

Really wonderful presentation. It's a really unique talent to not only intimately understand mathematics and model building, but also having such intense aptitude to effectively educate any audience, particularly with a topic that can be sufficiently complex. Really well done. Very inspiring.

[cronjej]

Thank you so much for this primer. I really enjoy all your material and it is of great help to deepen my understanding of dynamical systems and control. I am currently working through your Control Bootcamp and the clarity in which it is done is next level!

[iankay]

Hi Dr. Brunton, Been following your channel for a while, and I absolutely love the content you create and share! I am currently applying some of these concepts to farming and in designing I/O models for plant growth optimization.

[Spiegeldondi]

Beatiful introduction and overview. Very enlightening and motivating. I am glad to have come across this channel!

[umedina]

Professor Brunton thanks, you are mi hero. Impeccable teachings.

[juanpablocapossio]

Great explanation, thanks. I wish we could quote this video on our next paper on data-based models for fluidized beds.

[simonbacaltos]

Thank you for the equation. It helped me think of my interest in human movement system. I'm thinking of the variables such as muscle fibers attached to the bone via tendons as well as the neural system including the brain as the primary control variable. However, when a neuromusculoskeletal system is dysfunctional the movement patterns becomes impaired and we see dysfunctional movement pattern emerging depending on the tissue at fault. It helps the physical therapists diagnosis.

[isaacadjetey]

My passion for research ignited after watching this presentation.