Asymptotic behaviour of the sequence { z(0) = 1 ; z(n+1) = a z(n)^2 (3 - z(n)) / (3 z(n) - 1) } plotted as a function of the complex number a.
<p>Portion of the complex plane shown: from - 1,8i to + 1,8i vertically, from -2,6 to + 3,8 horizontally. Black = the sequence is attracted to a cycle ; Red = the sequence diverges to infinity ; Green = the sequence converges to zero ; Lighter shades of red or green = the sequence diverges or converges after more iterations.
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Picture format = 16:9.
<a href="//commons.wikimedia.org/wiki/User:GrandEscogriffe" title="User:GrandEscogriffe">GrandEscogriffe</a>
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