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

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  • Опубліковано 8 лют 2025

КОМЕНТАРІ • 27

  • @gretarmark
    @gretarmark 2 роки тому +6

    Nice, exactly what I'm doing at my job right now. Linearization.

  • @jamesjohn2537
    @jamesjohn2537 2 роки тому +3

    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!.

  • @lexinwonderland5741
    @lexinwonderland5741 2 роки тому +1

    Fantastic video, I look forward to seeing more in the series!

  • @tiledesta5825
    @tiledesta5825 2 роки тому +1

    You are always smart. Dr. I wish long life!!

  • @Pedritox0953
    @Pedritox0953 2 роки тому +4

    Great video!

  • @gabrielh5105
    @gabrielh5105 2 роки тому +1

    Thank you for your videos, professor Brunton

  • @MrHaggyy
    @MrHaggyy 2 роки тому

    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.

  •  2 роки тому +1

    Amazing stuff! Thanks

  • @VasilevArtem-g4u
    @VasilevArtem-g4u 2 роки тому +8

    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 2 роки тому +1

      I agree with you, hope Steve spend some time to this topic

  • @hoseinzahedifar1562
    @hoseinzahedifar1562 2 роки тому

    Amazing... thank you very much.

  • @ТимурГубаев-ж8ы
    @ТимурГубаев-ж8ы 2 роки тому +4

    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 2 роки тому

      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 2 роки тому +1

      yeah i think he mixed those up

    • @ndmath
      @ndmath 2 роки тому

      I think the text contents should be switched.

  • @pak7524
    @pak7524 2 роки тому +1

    Next time
    I will hope you to explain "Numerical Weather Prediction".

  • @lightnlies
    @lightnlies 2 роки тому +1

    Can you do a lecture series on Proper generalized decomposition methods? I would love that!

  • @AleeEnt863
    @AleeEnt863 Рік тому

    a big thanks!

  • @bricematuszczak7929
    @bricematuszczak7929 Рік тому

    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 Рік тому

    Hi Steve, could you please a video series on clustering algorithms?

  • @ASKUJapan
    @ASKUJapan 2 роки тому

    Hello Dr Brunton, have you have ever thought of tree growth as a dynamical system?

  • @sibik2473
    @sibik2473 2 роки тому

    Sir thank you so much for your videos can you also teach us PINNS and Physics I formed deep learning

  • @mohammadsajjadi1433
    @mohammadsajjadi1433 2 роки тому

    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?

  • @mesdouifatiha1579
    @mesdouifatiha1579 2 роки тому

    Please Steve, could you do a video on lyapunov exponents with MATLAB code.

  • @science_engineering
    @science_engineering 2 роки тому +1

    Mixing is a sufficient condition that a dynamical is chaotic. Mixing is NOT a property of chaos...

  • @olegageev9712
    @olegageev9712 2 роки тому

    Nothing new though. Some particular topics.

  • @hansbleuer3346
    @hansbleuer3346 3 місяці тому

    Achtung
    Zu viel Systemtheorie für in den Idealismus.
    Der Bezug zur Realität geht verloren und damit die Nützlichkeit.