Top #bifurcation 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/17516 by u/rodrigo.siqueira

function u(t) {

x.fillRect(0,0,2e3,2e3)
for(Y=i=-11;i<11;i=i+.005)
X=S(i/5-t+Y/9)+i,Y=15*S(i/6+Y/6-1),Z=S(i/2+t*2)*8,
x.clearRect(980+75*X,540+Z*8+Y*20,2,5)

Jan 4 2021 9:42 PM UTC

}// 140/140

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Bifurcation waves #bifurcation

u/Qwitter

quad map flaps

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rodrigo.siqueira

remix of d/26457 by u/Odog8

function u(t) {

a=0
for(i=160;i--;)a+=C(a*((t-1)*5+30+S(i)*9)/16),x.fillRect(260*t,a*700+210,4,3)

Nov 9 2022 2:17 AM UTC

}// 81/140

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"The logistic map is often cited as an archetypal example of how complex, chaotic behaviour can arise from very simple non-linear dynamical equations." #bifurcation #chaos

u/Odog8

Very pretty!

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rodrigo.siqueira

remix of d/17508 by u/rodrigo.siqueira

function u(t) {

c.style='filter:invert(1'
for(X=Y=i=1e4*(t<6);i--;x.fillRect(960+900*X,560+300*Y,.1,1)){if(i%99==0)X=S(t*i**8)
Y=S(X)*+C(Y*2.4)*1.4}

Feb 8 2020 12:38 AM UTC

}// 132/140

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Link of Symmetry #bifurcation (Period-halving bifurcations leading to order, followed by period doubling bifurcations leading to chaos)

u/Xen

love it!

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camel_case

function u(t) {

l={}
p=0.01
r+=0.007
for(i=0; i<50; i++){
p+=r*p*(1-p)
l[i%h]=p
for(j=0; j<h; j++){x.fillRect(t*120, 1080-l[j]*540, 2, 2)}
}
}
var r=0,h=6
{

Mar 14 2019 5:50 PM UTC

}// 140/140

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Logistics map with some bifurcation, still trying to figure out how to make it look pretty tho

u/artfarnaa

Nice, though I suggest provide a link to background info on what a logistics map is and what bifurcation does. We newbies need just a tad of hand holding.
u/rodrigo.siqueira

#bifurcation

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rodrigo.siqueira

remix of d/12434 by u/katkip

function u(t) {

t||(a=b=0)
for(i=2e3;i--;)x.fillRect(960+b*C(a),540+b*S(a),1,1),a+=1.8*C(2.6*a)+C(t/4+.009),b+=.002

Feb 20 2019 9:24 PM UTC

}// 99/140

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The Flower of Bifurcation #bifurcation

u/katkip

this is #cute #math

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rodrigo.siqueira

remix of d/12018 by u/rodrigo.siqueira

function u(t) {

a=b=t;s=2e3;x.globalAlpha=.2;for(i=s;--i;)x.fillStyle=R(a*i,9,i*b/6),
x.fillRect(1100+a*s,b*s,2,2),a=.2+.1*S(2*b)+C(2*a),b=S(a/5)+C(b)*t/12

Jan 31 2019 6:44 PM UTC

}// 139/140

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Bifurcation over chaotic maps. Feigenbaum constant may hide somewhere. #fractal

u/rodrigo.siqueira

#bifurcation

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rodrigo.siqueira

remix of d/12467 by u/rodrigo.siqueira

function u(t) {

t||(a=b=0)
for(i=3e3;i--;)x.fillStyle=`hsl(9,45%,${S(t*4)*50}%)`,x.fillRect(960+b*C(a)+(a&1?b:-b),540+b*S(a),1,2),a+=2*C(2.6*a)-t/2,b+=.001

Feb 22 2019 1:39 PM UTC

}// 139/140

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Symmetric bifurcations. The symmetry trick is ...+(a&1?b:-b), this will sometimes add a value ("b") and sometimes subtract. #bifurcation

u/iverjo

#scary #eyes
u/donbright

rodrigo these are amazing

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katkip

function u(t) {

t||(a=0,b=1);for(i=999;i--;)x.fillRect(960+b*C(a),540+b*S(a),5,5),a+=C(a*b/99),b+=.01

Feb 20 2019 5:22 PM UTC

}// 85/140

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Bifurcation diagram in one radial line. #bifurcation

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rodrigo.siqueira

remix of d/21137 by u/rodrigo.siqueira

function u(t) {

x.fillRect(0,0,2e3,2e3);for(Y=i=0;i<9;i=i+.002)
X=S(i/5-t+Y/9)+i,
Y=15*S(i/6+Y/6-t),
Z=S(i/2+t*2)*8,
x.clearRect(170+170*X,540+Z*8+Y*20,2,5)

Jan 6 2021 12:54 PM UTC

}// 140/140

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Bifurcation flow #bifurcation

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Zillatius

function u(t) {

t?a%=4:a=0;q=c.width=10e2;for(r=a,w=0;w<q;w++,r+=0.1/w/a){xn=0.5;for(i=0;i<30;i++){xn=r*xn*(1-xn);i>20?x.fillRect(w,xn*q/2,1,1):0}}a+=0.01

Apr 29 2020 11:33 AM UTC

}// 138/140

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Logistics map zooming back and forth(first dweet)

u/Zillatius

Inspired by https://youtu.be/ovJcsL7vyrk
u/rodrigo.siqueira

Let's add this #bifurcation to our collection.

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