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 abs f ' (fixpoint) = 0 tommy1729 Ultimate Fellow Posts: 1,358 Threads: 330 Joined: Feb 2009 09/08/2010, 07:59 PM 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 ) bo198214 Administrator Posts: 1,389 Threads: 90 Joined: Aug 2007 09/09/2010, 10:16 AM (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. tommy1729 Ultimate Fellow Posts: 1,358 Threads: 330 Joined: Feb 2009 09/09/2010, 10:13 PM 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 ? « Next Oldest | Next Newest »

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