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Projects from my Nonlinear Dynamics & Chaos class were spectacular. One student made a chaotic waterwheel (also called the Lorenz or Malkus waterwheel) using 3D-printed parts and an inexpensive water pump. The dynamics are governed by the famous Lorenz equations.

Shane Ross

4,818 subscribers

59,257 次观看 • 2 年前 •via X (Twitter)

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Prof. Shane Ross 的头像

Prof. Shane Ross2 年前

It rotates one way, then another, ad infinitum

andy 的头像

andy2 年前

here’s some fun code for visualizing a lorenz attractor in 3D

vini 的头像

vini2 年前

@SCalangos vamo fazer um desse para um futuro estudo dirigido do Strogatz KKKKK

Chris Roat 的头像

Chris Roat1 年前

Any chance the model files were made available for the water wheel? Otherwise, I may have to reinvent the, uh, wheel.

Citizen8 的头像

Citizen82 年前

Interesting. I get the strange attractor I think. What's the point though?

Prof. Shane Ross 的头像

Prof. Shane Ross2 年前

Instead of just simulating some chaotic equations on the computer, a real life demonstration helps illustrate that the phenomena are real

Beeraiah Thonti(AB) 的头像

Beeraiah Thonti(AB)2 年前

Nice sophisticated prototype, which will give feel of chaotic water wheel 😃

Politični Monitor SI 的头像

Politični Monitor SI2 年前

Hi I am looking for chaotic DE that is 0 at -infinity and oscillates chaotic around 1 (attractor=1) when approaching + infinity. Are you aware of anything like that. Sprott's jerk DEs are all with the attractor 0.

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$🌀 Hyperbolic beauty. The Rössler attractor is a space phase modeled after the Rössler mathematical system originated in 1976 by the German biochemist Otto Rössler. The original design was intended to behave similarly to the Lorenz attractor but in a more simplified way to be analyzed. This vector spaces shares common features with other chaotic attractors like strangeness, unpredictability, self similarity, bifurcation, instability and fractal iterations. What defines the Rössler evolutive dance is that a set of hyperbolic lines follow an outward spiral close to the plane around an unstable fixed point causing a rise and twist in the spatial domain. The visualization of these manifolds revolves around these two coordinates which repel nearby trajectories and are characterized by periodic orbits that are stable for certain parameter values. From a set of disciplines that was intended to solve at its creation like genetics, epidemiology and population dynamics, the Rössler system became useful to study chaotic orbital parameters and nonlinear oscillations such as fluid dynamics, electrical circuits, and computational simulations.$

🌀 Hyperbolic beauty. The Rössler attractor is a space phase modeled after the Rössler mathematical system originated in 1976 by the German biochemist Otto Rössler. The original design was intended to behave similarly to the Lorenz attractor but in a more simplified way to be analyzed. This vector spaces shares common features with other chaotic attractors like strangeness, unpredictability, self similarity, bifurcation, instability and fractal iterations. What defines the Rössler evolutive dance is that a set of hyperbolic lines follow an outward spiral close to the plane around an unstable fixed point causing a rise and twist in the spatial domain. The visualization of these manifolds revolves around these two coordinates which repel nearby trajectories and are characterized by periodic orbits that are stable for certain parameter values. From a set of disciplines that was intended to solve at its creation like genetics, epidemiology and population dynamics, the Rössler system became useful to study chaotic orbital parameters and nonlinear oscillations such as fluid dynamics, electrical circuits, and computational simulations.

𝓜𝒂𝒖𝒓𝒊𝔃𝒊𝒐 𝗜𝒃𝛼

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Full video of the spectacular drone swarm light show! This impressive showcase was conducted by BotLab Dynamics, a startup incubated at IIT Delhi. From hardware to software, every component is designed and built entirely in India. They have also been doing overseas projects.

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Incredible satellite animation showing the flow of air/clouds over one of the Channel Islands of California (specifically, Santa Cruz Island). The airflow is disrupted by the island and forms a pair of huge, persistent counter-rotating vortices that look just spectacular! Also lots of waves, ripples, and other cool dynamics easily visible.... Fascinating loop for enjoyers of air and water vapor!

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Made a whole 3D game from one 2D drawing using GPT-6 Astra and Tripo Smart Mesh P2.0 → Tripo made the 3D model in seconds → Astra built an endless runner around my character Astra did the coding, I did the losing Free Tripo credits in the comments

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Built this 3D-printed VTOL fixed-wing aircraft from scratch. The airframe is made from ABS/ASA, reinforced with carbon fiber, and powered by an F405 flight controller with GPS-assisted flight modes. Seeing a pile of parts turn into a flying aircraft is always worth the effort. 🚁➡️✈️

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I wish we had anatomical models like this one when I was a medical student. Imagine future medical professionals studying anatomy on these without any limitation (such as access to anatomy models or the formaldehyde smell). This highly detailed 3D-printed hand was made by Digital Anatomy Simulations for Healthcare, LLC using Stratasys 3D printers. They can also create dental components, skulls and a range of models for assisting surgeons in preoperative planning too.

I wish we had anatomical models like this one when I was a medical student. Imagine future medical professionals studying anatomy on these without any limitation (such as access to anatomy models or the formaldehyde smell). This highly detailed 3D-printed hand was made by Digital Anatomy Simulations for Healthcare, LLC using Stratasys 3D printers. They can also create dental components, skulls and a range of models for assisting surgeons in preoperative planning too.

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The majority of the UFOs released by the Trump administration are Orbs, or plasma bodies. These Orbs are not modern technology; they were present during WWII, when they were called Foo Fighters, but they were also reported during the Renaissance, the medieval period, and antiquity. They are ancient and connected to the religions. Here's an interesting piece of footage from the files showing a swarm of Orbs around what appears to be some kind of a platform or an oil rig in the ocean. The majority of the UFO footage comes from the Middle East and the Mediterranean. They are connected to the evolution of the soul and the afterlife.

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Taylor Lorenz on the data center backlash: "I went on Eric Newcomer's podcast recently, because I'm in this community group in LA, and they found out that there's a data center in downtown LA. It's not a hyperscale. The comments are like, this is why I've been feeling off, or my dog has cancer." "That's not to say that there aren't serious environmental concerns with Colossus and some of these. Construction can disrupt the water table. Okay, but let's have an actual conversation about it." "Everybody has lost the plot. There's no nuance, and if you talk to a lot of these people, they can't even explain what a data center is." "A lot of the outrage about the data centers is coming from people that live in Brooklyn. You're feeding people slop and chum, and you're not moving these issues forward, and we're not talking about sustainable ways to build it." Taylor Lorenz Taylor Lorenz

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AFRIFORUM DEMANDS APOLOGY FROM PODCASTER OVER REMARKS ABOUT WHITE WOMEN AfriForum has called on a podcaster to publicly apologise for allegedly making derogatory remarks about white women during an episode of his YouTube podcast. The organisation says the comments, which were made during the podcast, are unacceptable and has called on the podcaster to retract the remarks and issue an apology or faces legal action.

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152,509 次观看 • 16 天前

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