Talk:Dyadic transformation

Notation

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Hi, what means :   -- (talk) 18:14, 2 September 2009 (UTC)Reply

Merge bit shift map into this article

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Okay, I'll merge the bit shift map article into the dyadic transformation article. Duoduoduo (talk) 19:05, 27 May 2010 (UTC)Reply

Done. Duoduoduo (talk) 17:21, 28 May 2010 (UTC)Reply
Please can you clarify (within the article) your sentence "Equivalently, if we are able to view each iterate of as it actually occurs (as opposed to our simulated values), then we obtain an information flow of one bit per iteration, compared to what we would have known from our simulation." at the end of the section Rate of information loss and sensitive dependence on initial conditions. It is not clear what "as it actually occurs" means, and where the "information flow" is flowing from and to. Gandalf61 (talk) 10:30, 29 May 2010 (UTC)Reply

Correspondence to logistic map

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Not sure what the comment below means, but there is certainly an error in the section about r=4 case of logistic map being bit-shift under sine square change of variables. The r=4 case of the logistic map then looks like the tent map, not the bit-shift map. It is just as chaotic, but the manners in which these two transformations map (0.5,1) to (0,1) are reversed. I don't think these are topologically conjugate. (Disclaimer: I am actually a topologist, but not a dynamicist). -- Denis 192.16.204.74 (talk) 17:15, 2 June 2017 (UTC)Reply


Bit-shift: 0.75->0.5 r=4: 0.75->0.75 -32ieww 10:04PM 11/19/2015 NY time 32ieww (talk) 03:04, 20 November 2015 (UTC)Reply

Image color map

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What does the colormap in the first image encode? Does the brightness correspond to the number of appearances or the darkness? Is it even accumulative? The caption should be improved. — Preceding unsigned comment added by Roxanabujack (talkcontribs) 00:04, 30 November 2017 (UTC)Reply

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Periodicity via bit shifts rationality of periodic orbits

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In the derivation to prove that periodic and preperiodic orbits are orbits of rational numbers, the derivation should read

 

instead of

 

as it is now. — Preceding unsigned comment added by 54.37.18.136 (talk) 16:40, 5 May 2021 (UTC)Reply