Bifurcations of the Logistic Map
Bifurcations of the Logistic Map
The sequence =r(1-) exhibits complicated behavior for certain values of the parameter . When , the sequence converges to a fixed point, but around this fixed point bifurcates into an attracting two-cycle. As increases further, the attractors continue to bifurcate until the sequence displays chaotic behavior around .
x
n+1
x
n
x
n
r
r<3
r=3
r
r=3.57