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+--- Thread: abs f ' (fixpoint) = 0 (/showthread.php?tid=510)
abs f ' (fixpoint) = 0 - tommy1729 - 09/08/2010
it might be standard theory ( in complex dynamical or so ), but im intrested in fixpoints with abs(f ' (fixp)) = 0.
special attention already goes to fixpoints with abs = 1 (parabolic) but abs = 0 seems intresting too.
a classical example is x^2 , it has a 'flat' fixpoint 0 and an ordinary at 1.
( srr for the informal talk here )
RE: abs f ' (fixpoint) = 0 - bo198214 - 09/09/2010
(09/08/2010, 07:59 PM)tommy1729 Wrote: it might be standard theory ( in complex dynamical or so ), but im intrested in fixpoints with abs(f ' (fixp)) = 0.
special attention already goes to fixpoints with abs = 1 (parabolic) but abs = 0 seems intresting too.
a classical example is x^2 , it has a 'flat' fixpoint 0 and an ordinary at 1.
( srr for the informal talk here )
Keyword Boettcher equation.
RE: abs f ' (fixpoint) = 0 - tommy1729 - 09/09/2010
thanks Bo.
one might wonder why i use abs = 0 instead of 0.
that brings me to the following , suppose im not working with the complex numbers , but some 3d or higher dim numbers that have zero-divisors.
if the fixpoint has f ' ( fix ) = zero-divisor , does boettcher equation still work ?