Attractor of quaddratic map

Cobweb Display
The picture to the left shows points (c,fcn(x)) where n=1...,1000 of the Logistic map fc(x) = c x (1-x) and fn(x) = f (f(n-1)(x)). The color indicates the Lyapunov exponent L(c) = limn (1/n) log| f'cn(x) | of the orbit. When you move the mouse over the bifurcation diagram to the left, you change the parameter c and will see to the right the corresponding cobweb connecting points (x,0),(x,fc(x)),(fc(x),fc(x)),(fc(x), (f2c(x)), .., where x is some random point.

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©, 2002