Lyapunov exponent of Logistic map

The graph shows the Lyapunov exponent
L(c) = limn (1/n) log| f'cn(x) | of the Logistic map fc(x) = c x (1-x) and fn(x) = f (f(n-1)(x)). The graph of the function L(c) is plotted for values of c between 3 and 4. A positive Lypunov exponent (for example at c=4) indicates chaotic behavior = sensitive dependence on initial conditions of the map.
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©, 2002