Video wird geladen...

Video konnte nicht geladen werden

Zur Startseite

Lorenz attractor. The most famous chaotic attractor in history, discovered by Edward Lorenz in 1963. Made with #python #numpy #pygfx

S_Conradi's profile picture

Simone Conradi

12,752 subscribers

51,564 Aufrufe • vor 9 Monaten •via X (Twitter)

#python#numpy#pygfx
LIVE

Anya Rossi• Live Now

Private livecam show

0 Kommentare

Keine Kommentare verfügbar

Kommentare vom Original-Post werden hier angezeigt

Ähnliche Videos

taught my students how to analyze chaotic dynamics via the geometric lorenz attractor this week... such a beautiful branched surface...
0:30

taught my students how to analyze chaotic dynamics via the geometric lorenz attractor this week... such a beautiful branched surface...

prof-g

44,147 Aufrufe • vor 9 Monaten

The Lorenz system is a classic example of the “butterfly effect,” where small changes in initial conditions lead to very different outcomes. In this visualization, we simulated the Lorenz attractor using MATLAB and Claude with 10 slightly varied starting points.
1:21

The Lorenz system is a classic example of the “butterfly effect,” where small changes in initial conditions lead to very different outcomes. In this visualization, we simulated the Lorenz attractor using MATLAB and Claude with 10 slightly varied starting points.

MathWorks

50,995 Aufrufe • vor 1 Monat

Mathematics, physics, chaos. Apparent unpredictability. Life explained. The "Lorenz Attractor." Little blue butterflies, circulating forever. Source: CC BY-NC-SA 3.0
0:58

Mathematics, physics, chaos. Apparent unpredictability. Life explained. The "Lorenz Attractor." Little blue butterflies, circulating forever. Source: CC BY-NC-SA 3.0

Cliff Pickover

22,346 Aufrufe • vor 3 Monaten

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.
0:35

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

59,257 Aufrufe • vor 2 Jahren

1. starting with the most iconic one — his pr video in boys planet (made him boys planet’s main stan attractor)
0:41

1. starting with the most iconic one — his pr video in boys planet (made him boys planet’s main stan attractor)

random ricky

19,144 Aufrufe • vor 2 Jahren

When the Lorenz Attractor Becomes a Cosmos Many of us have seen plots of the famous Lorenz system that famous butterfly-shaped chaos: ẋ = σ(y - x) ẏ = x(ρ - z) - y ż = xy - βz But here, we went one layer deeper. At every point (x, y, z), we computed the local Jacobian matrix, J(x, y, z) = [ -σ σ 0 ] [ ρ - z -1 - x ] [ y x - β ] Then we found its eigenvalues λ and plotted them in the complex plane. Re(λ) tells us whether nearby motion is locally growing or decaying. Im(λ) tells us whether that local motion is rotating. That gives us the spectral flow of the Lorenz system and not the attractor itself, but the hidden local linear geometry driving its instability. When I saw that flow, it looked strangely cosmic with two mirrored swarms curling like particles trapped in a mathematical whirlpool. So I mapped that spectral flow onto our living fabric, not as Einstein Spacetime this time, but as a creative geometric stage for chaos itself. #LorenzSystem #ChaosTheory #DynamicalSystems #Eigenvalues #SpectralFlow #ComplexPlane #NonlinearDynamics #Mathematics #Physics
0:40

When the Lorenz Attractor Becomes a Cosmos Many of us have seen plots of the famous Lorenz system that famous butterfly-shaped chaos: ẋ = σ(y - x) ẏ = x(ρ - z) - y ż = xy - βz But here, we went one layer deeper. At every point (x, y, z), we computed the local Jacobian matrix, J(x, y, z) = [ -σ σ 0 ] [ ρ - z -1 - x ] [ y x - β ] Then we found its eigenvalues λ and plotted them in the complex plane. Re(λ) tells us whether nearby motion is locally growing or decaying. Im(λ) tells us whether that local motion is rotating. That gives us the spectral flow of the Lorenz system and not the attractor itself, but the hidden local linear geometry driving its instability. When I saw that flow, it looked strangely cosmic with two mirrored swarms curling like particles trapped in a mathematical whirlpool. So I mapped that spectral flow onto our living fabric, not as Einstein Spacetime this time, but as a creative geometric stage for chaos itself. #LorenzSystem #ChaosTheory #DynamicalSystems #Eigenvalues #SpectralFlow #ComplexPlane #NonlinearDynamics #Mathematics #Physics

Mathelirium

22,460 Aufrufe • vor 2 Monaten

Thomas’ Cyclically Symmetric Chaotic Attractor ẋ = sin(y) - bx, ẏ = sin(z) - by, ż = sin(x) - bz Used in chaos theory, turbulence & signal systems. Built with Three.js, GLSL shaders, GPU instancing & cinematic post-processing. Best with sound on.
0:25

Thomas’ Cyclically Symmetric Chaotic Attractor ẋ = sin(y) - bx, ẏ = sin(z) - by, ż = sin(x) - bz Used in chaos theory, turbulence & signal systems. Built with Three.js, GLSL shaders, GPU instancing & cinematic post-processing. Best with sound on.

Techartist

38,478 Aufrufe • vor 3 Monaten

Corporate media tries to put the genie released by Luigi Mangione back in the bottle — with Abby Martin & Taylor Lorenz
1:48

Corporate media tries to put the genie released by Luigi Mangione back in the bottle — with Abby Martin & Taylor Lorenz

The Empire Files

124,567 Aufrufe • vor 1 Jahr

Kicking off the last weekend of the AZ Fall Classic with the Easton Baseball Home Run Derby. Great start as ArizonaBaseballClub’s Bryan Lorenz (Bryan Lorenz) smashes 1️⃣1️⃣ HR in his round! #FiveToolPower Northwest Christian (AZ) 2024 #uncommitted Profile:
1:48

Kicking off the last weekend of the AZ Fall Classic with the Easton Baseball Home Run Derby. Great start as ArizonaBaseballClub’s Bryan Lorenz (Bryan Lorenz) smashes 1️⃣1️⃣ HR in his round! #FiveToolPower Northwest Christian (AZ) 2024 #uncommitted Profile:

Five Tool Baseball

15,204 Aufrufe • vor 2 Jahren

Possibly the most incredible Beethoven Ode to Joy flashmob by the Philharmonic Orchestra of Nuremberg and the Hans-Sachs-Choir in front of the St. Lorenz Church in Nuremberg, Germany. [📹 Evenord-Bank eG-KG]
5:36

Possibly the most incredible Beethoven Ode to Joy flashmob by the Philharmonic Orchestra of Nuremberg and the Hans-Sachs-Choir in front of the St. Lorenz Church in Nuremberg, Germany. [📹 Evenord-Bank eG-KG]

Massimo

1,256,404 Aufrufe • vor 2 Jahren

Taylor Lorenz answers the MOST IMPORTANT question: Did HASAN SHOCK his dog KAYA? 😳🚨 Destiny: "Do you acknowledge that HASAN was shocking his DOG to keep it in PLACE on stream the entire time?" Taylor Lorenz: "I've seen the COLLAR and it was..."
0:24

Taylor Lorenz answers the MOST IMPORTANT question: Did HASAN SHOCK his dog KAYA? 😳🚨 Destiny: "Do you acknowledge that HASAN was shocking his DOG to keep it in PLACE on stream the entire time?" Taylor Lorenz: "I've seen the COLLAR and it was..."

ShaoIRL

45,841 Aufrufe • vor 5 Monaten

🌀 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.
0:29

🌀 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

76,671 Aufrufe • vor 1 Jahr

The most chaotic period in American history🎬
1:06

The most chaotic period in American history🎬

Iyke

1,666,482 Aufrufe • vor 10 Monaten

David Pakman says he's considering a defamation lawsuit against Taylor Lorenz. "I 've consulted with some of the top defamation attorneys in the country; lawyers who have won some of the largest verdicts, I think, in US history." Pakman adds: ​"I am not litigious by nature."
1:21

David Pakman says he's considering a defamation lawsuit against Taylor Lorenz. "I 've consulted with some of the top defamation attorneys in the country; lawyers who have won some of the largest verdicts, I think, in US history." Pakman adds: ​"I am not litigious by nature."

Ken Klippenstein (NSPM-7 Compliant)

1,424,331 Aufrufe • vor 1 Jahr

Sound on 🔊 A flythrough of our local Universe: 55,486 galaxies and 29,555 streamlines tracing the cosmic velocity field reconstructed from Cosmicflows-4 data. Laniakea, our basin of attraction, in red. Made with #python #pygfx
0:28

Sound on 🔊 A flythrough of our local Universe: 55,486 galaxies and 29,555 streamlines tracing the cosmic velocity field reconstructed from Cosmicflows-4 data. Laniakea, our basin of attraction, in red. Made with #python #pygfx

Simone Conradi

16,023 Aufrufe • vor 4 Monaten

Destiny and Taylor Lorenz go back and forth over Omidyar Network Destiny thinks the lack of transparency Lorenz accused Chorus of engaging in could apply to Omidyar by her logic “We know the PR statement that they put out..but we don’t have tax filings”
1:08

Destiny and Taylor Lorenz go back and forth over Omidyar Network Destiny thinks the lack of transparency Lorenz accused Chorus of engaging in could apply to Omidyar by her logic “We know the PR statement that they put out..but we don’t have tax filings”

yeet

156,355 Aufrufe • vor 1 Jahr

The most famous birds in the history of famous birds ever....
0:23

The most famous birds in the history of famous birds ever....

Volcaholic 🌋

104,845 Aufrufe • vor 1 Jahr