Re: periodic points
A fixed point p is attracting if, for a small nbhd around p,
all points converge to p when you iterate the map f.
A periodic point will hop around when you iterate the map and
come back to its starting place after n interations, say.
So, without me actually thinking (why do that when I can just post?)
0 seems to be attractive, but I'm guessing 1 +0i and -1 +0i are
repelling, or at the very least, indifferent. For periodic points, I'd
try some points on the unit circle...
--Jeff
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Relevant Pages
- Riemann surface for iteration of complex map?
... I once had a thread here where I mentioned the idea of using a Riemann ... surface to "continuously iterate" a complex map: ... real and theta any real. ...
(sci.math) - Re: use remove_if in map
... RemoveInvalid(std::setvalidset) ... valid map elements into another map (possibly via a vector, ... log m) where s is the size of the valid set, and m that of the map. ... Option 2 is to iterate over the map and check each element for validity. ...
(microsoft.public.vc.stl) - Why is not "sub" necessary? What is the difference: block and expression?
... I'm trying to understand the map function in perl and have been studying ... When David calls his iterate function, why does he not need to use the ... keyword "sub"? ...
(perl.beginners) - Re: Collection
... The purpose of a Map is to hold associations; using a Map as a List is overkill. ... If, OTOH, you do need the associative lookup and only occasionally need to loop through the entrySet, then just iterate over the entrySet. ... It is unlikely that you actually need both Mapness and sortedness. ...
(comp.lang.java.programmer) - Re: do u know ramanujan numbers algorithm
... You could also iterate only over two variables and save the values ... Before actually adding it to the map, ... keys in the map that are small enough that re-encountering them ... Any one else interested pay me $200 for the solution. ...
(comp.lang.java.programmer) |
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