Re: Mappings with singular points

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Article #198

#198

From: Tom Scavo
Date: Thu, 12 Nov 1992 22:34

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In article <1992Nov8.234155.14813@mnemosyne.cs.du.edu> ddixon@nyx.cs.du.edu (David Dixon) writes:
>Is anybody aware of any differences between mappings with and without
>singular points?  For example, say I have a map x[n+1] = f(x[n]), where
>df/dx is singular at some point.  Does this show any behavior not seen
>in maps involving analytic functions?  References would be greatly
>appreciated.

I'm not sure what you mean by "singular," but you may enjoy studying
the dynamics of  L(x) = log|x-1|  on the real line.  I haven't looked
at it in the complex plane, though (heck, I'm not even sure it makes
sense in the plane!).

-- 
Tom Scavo
scavo@cie.uoregon.edu

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From: scavo@cie.uoregon.edu (Tom Scavo)
Newsgroups: sci.fractals
Subject: Re: Mappings with singular points
Message-ID: <1992Nov12.223452.8432@nntp.uoregon.edu>
Date: 12 Nov 92 22:34:52 GMT
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