AppDynSys : Hopf Bifurcation : Full View

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  • เผยแพร่เมื่อ 4 พ.ย. 2024

ความคิดเห็น • 10

  • @雪鷹魚英語培訓的領航
    @雪鷹魚英語培訓的領航 3 ปีที่แล้ว +4

    Very beautiful. Would love to see these integrated in CG particle systems.

  • @aamathcu
    @aamathcu 2 ปีที่แล้ว

    Excellent work. Congrats Sir.

  • @lenkapribylova6105
    @lenkapribylova6105 4 ปีที่แล้ว +3

    It would be great to have a similar video for the supercritical Bautin bifurcation (generalized Hopf) with a fold cycle bifurcation nearby. It wouldn't be much different, just adding the quartic term. :-) Or one could go around the bifurcation point - that would be even much more interesting in two parameters... (just an idea, it would be much more troublesome). The videos are really great! Thank you for all the stuff!

    • @prof-g
      @prof-g  4 ปีที่แล้ว

      that *would* be cool...

  • @입자필드
    @입자필드 5 ปีที่แล้ว +6

    Hello from Korea. We are running a motion graphic studio in Seoul. we found this channel by chance, and we're so impressed by your beautiful works, aesthetics of mathematics.😍!! thank you so much. If you don't mind, just curious, could you tell us what tool do you use?

    • @prof-g
      @prof-g  5 ปีที่แล้ว +1

      thank you. my setup is quite complicated. please email me at robert.ghrist@gmail.com with info about / examples of your work and what you use in your workflow, and i will be happy to engage.

  • @sd_naturalist509
    @sd_naturalist509 2 ปีที่แล้ว +2

    hmm...yes very

  • @youssefelidrissi6359
    @youssefelidrissi6359 2 ปีที่แล้ว

    Hello, that's beautiful and interesting! Which software is used for these representations?

    • @prof-g
      @prof-g  2 ปีที่แล้ว

      lots of interacting platforms : python for the integration; various 3-d, particle sim, and rendering engines for the animation, with a lot of hacking.

    • @youssefelidrissi6359
      @youssefelidrissi6359 2 ปีที่แล้ว

      Python using processing? which platfom? 3ds like blender or? if you can be more specific, that would be great. If not, it cool.