Happy birthday dear Rabbit

Period trippling bifurcation is similar to the period doubling one. You see here how Douady's rabbit appears out of a "single embryo cell" :)

At c = -0.125 + 0.65i on the border of the main cardioid the attracting fixed point loses its stability with multiplier l = exp(2p /3) . You see below this 120 o angle of rotation symmetry of the critical orbit near the bifurcation point. Unstable period-3 orbit approch to the fixed point.

After the period trippling bifurcation attracting period-3 orbit and unstable fixed point (with three whiskers) appear.

"Blue Dragon" Rabbit :)
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updated 15 August 2003