Dynamics of the radix expansion map
The chaotic dynamics of the map ϕ(x)=(βx+α)(mod1) are studied using Parry's β-expansion. It is shown that for 1<β<2, a≥0, the number of periodic points of period n is 0(βn).
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Main Authors: | Ben Goertzel, Harold Bowman, Richard Baker |
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Format: | Article |
Language: | English |
Published: |
Wiley
1994-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Subjects: | |
Online Access: | http://dx.doi.org/10.1155/S0161171294000190 |
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