Top #lyapunov dweets

function u(t) {

c.width=1920 // clear the canvas
for(i=0;i<9;i++)
x.fillRect(400+i*100+S(t)*300,400,50,200) // draw 50x200 rects

} // 122/140

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    u(t) is called 60 times per second.
    t: Elapsed time in seconds.
    S: Shorthand for Math.sin.
    C: Shorthand for Math.cos.
    T: Shorthand for Math.tan.
    R: Function that generates rgba-strings, usage ex.: R(255, 255, 255, 0.5)
    c: A 1920x1080 canvas.
    x: A 2D context for that canvas.

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rodrigo.siqueira

remix of d/21504 by u/rodrigo.siqueira

function u(t) {

f = (X,Y,n=120)=>X<8 ? f(S(X)**2+S(Y+1)*Y*.8-.3,2*X*Y+.7,n-5):n/2
for(var i=1921;i--;) {
 x.fillRect(i,t*60,.5-f(i/210-4.5,t/6-2)/30,1)
}

Jan 31 2021 8:50 PM UTC

}// 138/140

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Lyap arcs #fractal

u/rodrigo.siqueira

#lyapunov

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beaster

function u(t) {

eval(unescape(escape`𩡯𬠨𭠽𜐳𝀬𨠽𜀻𭠭𛐻𨠫🐮𜀳𚑦𫱲𚁨🐲𝀰𛁡🐰𞱨𛐭𞱡𚰽𛠰𜐶𚑻𩡯𬠨𪐽𜰲𛁬👥🐮𝐻𪐭𛐻𬠽𝐷🠾𚁩𙠷𚐦𜐿𨠺𨐬𩐽𬠪𩐪𚀱𛑥𚐬𩀽𬠪𚀱𛐲𚡥𚐬𫀫👍𨑴𪀮𫁯𩰨𩀼𜀿𛑤𞡤𚐩𞱸𛡦𪑬𫁓𭁹𫁥👠𪁳𫀨𙁻𭀪𫁽𘀹𞐠𝐰𚑠𒡸𛡦𪑬𫁒𩑣𭀨𞀪𪀬𞀪𭠬𞀬𞀩𯐠`.replace(/u../g,'')))

Sep 11 2024 9:21 PM UTC

}// 140/140

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Lyapunov exponent

u/rodrigo.siqueira

Great! I tried to create a #Lyapunov once, here: d/21550

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rodrigo.siqueira

function u(t) {

for(i=2e3;i--;x.fillRect(i,t*240,h/=9,4)){I=i/430,Y=t/8-1,h=X=.5
for(n=9;n--;X*=Y*I*(1-X)*(1-I*X*(1-X)))h+=Math.log2((Y*I*(1-1.5*X))**2)}

Feb 1 2021 6:51 PM UTC

}// 137/140

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Lyapunov #Fractal - "A Lyapunov fractal is constructed by mapping the regions of stability and chaotic behaviour (measured using the Lyapunov exponent)." They said it couldn't be done but yet here it is.

u/rodrigo.siqueira

#lyapunov

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