Lyapunov #Fractal - "A Lyapunov fractal… by rodrigo.siqueira

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

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


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

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