G. Ünther

Funny, are there so many people from Germany here? Or do I just think that because there was a lot of talk in this chat about it lately?
Ich meine, ich bin ja selber auch aus Deutschland, deswegen frage ich mich das gerade. Könnte auch confirmation bias sein, also naja.

Does anyone know how to calculate lyapunov exponents for a given 2D map with equations for x and y? Like actually calculate. I don't get this on wiki:
$$\displaystyle \Lambda =\lim _{t\rightarrow \infty }{\frac {1}{2t}}\log(Y(t)Y^{T}(t))$$
https://en.wikipedia.org/wiki/Lyapunov_exponent
No idea what that's even supposed to mean or how I calculate it for a certain map...

float i;
int x2;
double x, a;

void setup() {
size(1500, 800);
background(0);
i = 0;
}

void draw() {
a = map(i, 0, 1500, 3.5698, 3.57);
x = random(0, 1);
for (int j = 0; j < 20000; j++) {
x = a * x * (1 - x);
x2 = int(map((float)x, 0.8907, 0.8912, height, 0));
if (j > 18000 && x2 >= 0 && x2 <= height) {
set(int(i), x2, color(255));
}
}
println(i);
i++;
if (i > 1500) {delay(100000);}
}