A linear discrete dynamical system and its eigenvectors

We analyze the long term behavior of a linear dynamical system by observing its associated eigenvectors.

Пікірлер: 28

  • @xy-mw9nx
    @xy-mw9nx2 жыл бұрын

    Incredible quality of explanation through your application. All of your other videos are also great. Channel is deserving of more attention.

  • @carlosagorreta5276
    @carlosagorreta52765 жыл бұрын

    Your videos are so good that I can't believe they have such a small amount of views! KZread is unfair.

  • @dangries3868

    @dangries3868

    5 жыл бұрын

    Very glad you enjoyed this!

  • @olehborys1462
    @olehborys1462 Жыл бұрын

    Just perfect and brief explanation what eigenvectors are in fact and great example of usage. Thank you!

  • @meharjeetsingh5256
    @meharjeetsingh52563 жыл бұрын

    I just started learning these systems and now I can say that I have a solid foundation. Thanks

  • @adamnoel3936
    @adamnoel39366 жыл бұрын

    How does this only have 66 views? This is amazing. Thanks man. This made the last two days of my 304 class make sense!

  • @rolloisles

    @rolloisles

    6 жыл бұрын

    Adam Noel Thank you! I made this for my students, but I tried to make sure it would be useful for anyone else studying this topic. Very glad you found it useful!

  • @Bokkie312
    @Bokkie312 Жыл бұрын

    this video made my linear algebra course bearable

  • @aidengonzalez8073
    @aidengonzalez80734 жыл бұрын

    Incredible video, very good demonstration of the system. Thank you!

  • @LukasLampe
    @LukasLampe Жыл бұрын

    amazing video, deserves way more views. Thank you!

  • @rajat4640rajat
    @rajat4640rajat3 жыл бұрын

    Thanks Dan. Your video gave a deep insight. It also answered to many of my queries I had before watching this video.

  • @sahilrizal607
    @sahilrizal6073 жыл бұрын

    This is really amazing. Good job!

  • @stevenjames5874
    @stevenjames5874 Жыл бұрын

    Wow. That was really well done! Otto's book is horrifically dense at some points, and I felt that this particular example was poorly introduced in the text. You've completely de-mystified the discrete dynamic system.

  • @evelyntromp789
    @evelyntromp7892 жыл бұрын

    This is amazing! Thank you so much!!

  • @beersforever
    @beersforever2 жыл бұрын

    Respect, great video.

  • @gavinliu762
    @gavinliu7625 жыл бұрын

    Love ur video help me a lot

  • @SiriusFuenmayor
    @SiriusFuenmayor2 жыл бұрын

    great

  • @zoegaouette4909
    @zoegaouette49095 жыл бұрын

    Thank you so much for creating this video, it helped me understand this concept. Have you published this simulation you created? It looks so cool, I'd love to check it out.

  • @dangries3868

    @dangries3868

    5 жыл бұрын

    This is just something I coded in Processing. Thank you for the suggestion. If I ever have the time, I'll share it!

  • @jirkadolezal8127
    @jirkadolezal81276 ай бұрын

    👍👍👍👍👍👍👍👍👍👍👍

  • @LukasLampe
    @LukasLampe Жыл бұрын

    wouldve loved to know what happens when you put a point directly on the line that makes the difference

  • @dangries3868

    @dangries3868

    6 ай бұрын

    I should have done that! What happens is this: when we click right on the line, we are choosing a scalar value of zero for the b1 component, so the state vector is just a scalar multiple of b2. Such an initial state leads to exponential decay and the populations both approach zero.

  • @raymondchen2787
    @raymondchen27875 жыл бұрын

    wow great video, the only useful one I found

  • @dangries3868

    @dangries3868

    5 жыл бұрын

    Glad it a helpful to you. I enjoyed making it!

  • @jbgoogl
    @jbgoogl4 жыл бұрын

    Hello, thank you for this helpful video. Have you shared the program you created anywhere, yet? Thanks for your time,

  • @dangries3868

    @dangries3868

    4 жыл бұрын

    Sorry! I haven't shared that anywhere and I don't have any plans to dig it up. I wrote that code in Processing just for this demo.

  • @SiyaMedia
    @SiyaMedia5 жыл бұрын

    What programming language did you use for your simulation?

  • @dangries3868

    @dangries3868

    5 жыл бұрын

    I used Processing, available at processing.org. The JavaScript-based p5.js would also be a good choice. It's available at p5js.org.