anonymous
  • anonymous
What are the rules for behaviours of quadratic iterations? For the iteration of Z to Z^2 what effect does the starting point have? What causes it to be chaotic, invariant, cyclic (1,2,3,n), divergent and convergent? Any help is appreciated thanks!
Mathematics
katieb
  • katieb
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amistre64
  • amistre64
iterations of duadratic? like x^2 +y^2 + z^2 + ..? or: x^0 + x^1 + x^2 +x^3 + x^4 + ...
amistre64
  • amistre64
duadratic means.... a cant type quadratic none to gooder
anonymous
  • anonymous
Thanks for replying!! Ummm its not even that complicated. We are just looking at what happens to a complex number, Z, as we sqaure it. That is the iteration. I already found out that if the length of z0 (initial value) is less than 1 it will converge and if it is greater than 1 it will diverge. Also if z0=zn it will be invariant. But I dont know about the others. :S

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