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Topics in Dynamical Systems: Fixed Points, Linearization, Invariant Manifolds, Bifurcations & Chaos 

Steve Brunton
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1 окт 2024

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Комментарии : 26   
@gretarmark
@gretarmark Год назад
Nice, exactly what I'm doing at my job right now. Linearization.
@VasilevArtem-g4u
@VasilevArtem-g4u Год назад
Steve, thank you for your videos. While studying non-linear systems I found the theme manifolds difficult and couldn't do it any better than 'ok that's something like a subspace, so nothing gets out of subspace'. Should you make a clarifying video on the topic that would be great
@zoheirtir
@zoheirtir Год назад
I agree with you, hope Steve spend some time to this topic
@ТимурГубаев-ж8ы
20:17 Should the green manifold be stable and the red manifold be unstable instead of what the picture says? I mean if we were to look where the arrows are pointing at.
@hoseinzahedifar1562
@hoseinzahedifar1562 Год назад
I think the green manifold is unstable because any point starting on the manifold goes to the points specified at the ends of the red manifold.
@rodbhar6522
@rodbhar6522 Год назад
yeah i think he mixed those up
@ndmath
@ndmath Год назад
I think the text contents should be switched.
@science_engineering
@science_engineering Год назад
Mixing is a sufficient condition that a dynamical is chaotic. Mixing is NOT a property of chaos...
@jamesjohn2537
@jamesjohn2537 Год назад
This is good excellent explanation and overview of the subject. I can't wait to reached there at that level, this is really cool stuff!.
@Pedritox0953
@Pedritox0953 Год назад
Great video!
@pak7524
@pak7524 Год назад
Next time I will hope you to explain "Numerical Weather Prediction".
@lightnlies
@lightnlies Год назад
Can you do a lecture series on Proper generalized decomposition methods? I would love that!
@tiledesta5825
@tiledesta5825 Год назад
You are always smart. Dr. I wish long life!!
@lexinwonderland5741
@lexinwonderland5741 Год назад
Fantastic video, I look forward to seeing more in the series!
@mohammadsajjadi1433
@mohammadsajjadi1433 Год назад
Dear Brunton, thank you so much for your videos. My major, like you, is Control Engineering. I have a question. What can we say about the equilibrium points and limit cycles of a nonlinear system having 5 negative Lyapunov exponents and 1 zero Lyapunov exponents?
@gabrielh5105
@gabrielh5105 Год назад
Thank you for your videos, professor Brunton
Год назад
Amazing stuff! Thanks
@mesdouifatiha1579
@mesdouifatiha1579 Год назад
Please Steve, could you do a video on lyapunov exponents with MATLAB code.
@MrHaggyy
@MrHaggyy Год назад
Awesome video, ^^ as usuall. If you mention literatur in the video, it would be nice if you add them to the description as well. Doesn't have to be links or any sophisticated citation. Just a quick reference you can copy to google and maybe even some worthy mentiones to start digging into the topic.
@sibik2473
@sibik2473 Год назад
Sir thank you so much for your videos can you also teach us PINNS and Physics I formed deep learning
@bricematuszczak7929
@bricematuszczak7929 11 месяцев назад
Thank you for all the content you post online! Regarding bifurcation theory, is there a chapter in any of your books addressing this? Thank you in advance
@StEvUgnIn
@StEvUgnIn Год назад
Hi Steve, could you please a video series on clustering algorithms?
@olegageev9712
@olegageev9712 Год назад
Nothing new though. Some particular topics.
@ASKUJapan
@ASKUJapan Год назад
Hello Dr Brunton, have you have ever thought of tree growth as a dynamical system?
@hoseinzahedifar1562
@hoseinzahedifar1562 Год назад
Amazing... thank you very much.
@AleeEnt863
@AleeEnt863 8 месяцев назад
a big thanks!
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