#Lyapunov-Fractal

[blazingfiredragon]

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[desdenova-yt]

I've been making more Lyapunov Fractals! I made these all using Shadertoy. The shader I used to make these is still under construction, but for now I have a more basic shader for Lyapunov Fractals. Here's the link to my profile.

#lyapunov fractal #fractal #shadertoy

[midjourney-v5-2-styles]

Style: Lyapunov-Fractal

Illustration

Painting

Digital/Photorealistic

#midjourney #midjourney style references #midjourney styles

[casiopecreations]

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#ancienmonde #nouveaumonde #conscience #mathematiques #fractales #fractalart #lumiere #etoiles #nature #obscurité #liberalisme #deuil #espoir #poetique #demain #equations #lahayefouassiere #nantes #artistenantes

[omochajournal]

mandelbrotbrowser.y0.pl/?2,J,6.V5CRc39bx600,6.8EyeV3orQZH4,cK1,pW8,3,A,5,A,24

Sent from MandelBrowser 2.0.7 for Android

#MandelBrowser #fractal #フラクタル図形

[sequelaen-blog]

Lyapunov Fractal AB in p5.js

#math #chaos #chaos theory #p5.js #visualization

[presuninoc-blog]

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[statsonlineassignhelp-blog]

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[akie-productions]

Zeta project picture #6 This one is.. a bit complicated to explain.. This has been made from the Lyapunov fractal that I modified a bit

#2Dfractal #maths #zetaproject

[desdenova-yt]

Slicing through a 3D Lyapunov Fractal.

#lyapunov fractal #fractal

[desdenova-yt]

A Markus-Lyapunov Fractal such that S is generated from the Thue-Morse sequence. Shown in two color schemes.

Map = Logistic Map, x0 = 0.5, N = 4000

#thue-morse

[desdenova-yt]

hey i saw your video on lyapunov's fractal, amazing explanation, you seem to know your stuff ,i also got an idea out of it.

would you be willing to, if i amassed a database of all the properties/statistics of all known atoms, and helped with the programming of it, create a system that could reliably predict stability/instability of atomic isotopes, if its even possible.

I'm glad you enjoyed my video, thank you! That sounds like it's outside of my skill set though. I only know how to calculate stability in terms of the Lyapunov exponent, and even then I only calculate it for 1 dimensional maps

[arxt1]

Shadow of a Schwarzschild black hole surrounded by a Bach-Weyl ring. (arXiv:1904.12423v2 [gr-qc] UPDATED)

We have studied the shadows of a Schwarzschild black hole surrounded by a Bach-Weyl ring through the backward ray-tracing method. The presence of Bach-Weyl ring leads to that the photon dynamical system is non-integrable and then chaos would appear in the photon motion, which affects sharply the black hole shadow. The size and shape the black hole shadow depend on the black hole parameter, the Bach-Weyl ring mass and the Weyl radius between black hole and ring. Some self-similar fractal structures also appear in the black hole shadow, which originates from the chaotic lensing. We also study the change of the image of Bach-Weyl ring with the ring mass and the Weyl radius. Finally, we analyze the invariant manifolds of Lyapunov orbits near the fixed points and discuss further the formation of the shadow of a Schwarzschild black hole with Bach-Weyl ring.

from gr-qc updates on arXiv.org https://ift.tt/3bc4Djl

[arxt1]

Shadow of a Schwarzschild black hole surrounded by a Bach-Weyl ring. (arXiv:1904.12423v1 [gr-qc])

We have studied the shadows of a Schwarzschild black hole surrounded by a Bach-Weyl ring through the backward ray-tracing method. The presence of Bach-Weyl ring leads to that the photon dynamical system is non-integrable and then chaos would appear in the photon motion, which affects sharply the black hole shadow. The size and shape the black hole shadow depend on the black hole parameter, the Bach-Weyl ring mass and the Weyl radius between black hole and ring. Some self-similar fractal structures also appear in the black hole shadow, which originates from the chaotic lensing. We also study the change of the image of Bach-Weyl ring with the ring mass and the Weyl radius. Finally, we analyze the invariant manifolds of Lyapunov orbits near the fixed point and discuss further the formation of the shadow of a Schwarzschild black hole with Bach-Weyl ring.

from gr-qc updates on arXiv.org http://bit.ly/2IOOXIU