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From: Hauke Reddmann on 7 Jun 2010 06:34
The "only" complex quadratic iteration is z->z^2+c, all else
you can transform into that...but only if the function
is analytic. Drop that:
x->a1x^2+a2y^2+a3xy+a4x+a5y+a6
y->b1x^2+b2y^2+b3xy+b4x+b5y+b6
Again, obviously you can transform x=p1X+p2Y+p3,y=q1X+q2Y+q3
but in mopping up I lost oversight :-)
Surely a4=a5=b4=b5=0 is possible, but what is the most general
form after transforming?
--
Hauke Reddmann <:-EX8 fc3a501(a)uni-hamburg.de
Oh must you tell me all your secrets when it's hard enough
to love you knowing nothing?
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