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Your video on dendritic systems inspired me to study about neuromorphic computing, and then reservoir computing, and as an extension, dive deep into DEs and dynamical systems. It feels weird how the rabbit hole that started me on my journey has caught up to me 😅😅
@@joeystenbeck6697 I'd even go as far to say that it's a sort of dynamical system with attractor points lol. Similar people ofter gravitate towards similar interests
Good point. Just don't analyze it *too* much or you'll accidentally do the observer effect on the whole universe and collapse reality into a single one or zero 😂 I hope we score a point
Learned yesterday about Hopfield networks from ur video. And today John Hopfield & Geoff Hinton wins 2024 physics Nobel prize. Keep making in-depth videos on such topics Artem, they’re very intriguing.
Feeling kinda proud that I knew all math in the video in my 16, and also reminded that I haven't studied DE for a few month already. Your videos are amazing, i find answers for exact questions that bothered me for a long time. Thank you
where were you 4 months agoooo 😭😭I really needed this vid for a course in my previous semester. thnx for making and as always excellent quality! I hope nothing but the best happens to you 😄
I remember having a lot of problems understanding the concept of phase space due to my professor being terrible explaining it when I took the dynamical systems class. But your explanation was infinitely more clear and perfectly understandable. After seeing some of your videos I can honestly say you're one of the best science youtubers out there.
Loved how he simplifies the topic to be suitable for people who have no stomach for math. Is there any book recommended to study differential equations in the same way he did?
These videos are consistently amazing! Very excited for the next in the series! Getting into the actual math/dynamics of a neuron seems _extremely_ fascinating!
doing brilliant work spreading the beauty of computational neuroscience as always. as a physics major doing comp-neuro research, your videos synthesize topics in math, physics, and biology together very well and are a must watch for any who seek a deeper understanding of electrophysiology and neural networks. perhaps the next hopfield is a member of this lovely community :)
You should do a video on neurophysiology: I would love to learn why neurons and large interconnected sets of neurons cause certain effects. Like why does a biological neural network cause act x rather than act y? We know that neurons depolarize and hyperpolarize, and are numerous in amount and also amount of synapses, and we know that there are certain structures and regions and pathways in BNNs, but ultimately how/why does act x occur rather than act y? That's a question that I am extremely interested in and really want to determine the answer to.
An English tip: in English we don't say "our today's video".. Not sure if you're German, but German's "unser heutiges Video" doesn't translate directly into English. You would just say "today's video", or perhaps "our video today".
Great video overall, but limit cycles are technically defined differently. What you showed is just oscillatory behavior. Limit cycles happen when different phase space paths converge onto a cycle, as opposed to a single point. This isn’t possible in two dimensions, which is maybe why you didn’t show it, but a disclaimer would have been nice.
I think a limit cycle actually is possible in two dimensions. But I think you are right that a truly exactly periodic system would not technically be a limit cycle, since limit cycle implies that other paths tend to converge to it. And the population system is made up of infinitely many "shells" that don't transition between each other. Which maybe you could consider to be infinitely many limit cycles, depending on your definitions?
If the output of a *single* neuron depends on its own state some time ago, does that mean a single neuron has its own "memory"? If so, do we know the mechanism behind this memory?
I dont think the threat of being fired could have given me the motivation to finish my work asap so that I could watch this.... And the 15 year old me doesn't cannot fathom how i became a man who gets exited enough to scream like a girl because of a video on Differential Equations :-)
Ik it does not related to the video but in the video series of how the brain genralize you talked about the machine that can mimic this behaviour so why it is not AGI 😊
