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- W54965105 abstract "The Ducci map is considered applied to vectors in R n . It is shown that for certain starting vectors of odd length, the corresponding sequence of iterates asymptotically approaches a periodic vector, but never becomes periodic itself. On the other hand, for any starting vectors not of this type, it is shown that the corresponding Ducci sequence becomes eventually periodic. A simple method for determining if a given vector is of this certain type is presented. In this way, the asymptotic behavior of all Ducci sequences of vectors in R n , n odd, is characterized. The map is then applied to the specic case of R 3 . It is shown that in this case, the Ducci sequences of vectors of the aforementioned type approach the zero" @default.
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- W54965105 date "2007-01-01" @default.
- W54965105 modified "2023-09-27" @default.
- W54965105 title "ASYMPTOTIC BEHAVIOR OF CERTAIN DUCCI SEQUENCES" @default.
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