Iterating the Logarithmic Function

Iterating the Logarithmic Function

We study the discrete dynamical system that results from iterating the absolute-valued logarithmic function, with different bases. Specifically, we analyze the periodic points, those that return to their original value after a number of iterations. By studying their paths under iteration, we determi...

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Veröffentlicht in:The College mathematics journal 2016-05, Vol.47 (3), p.172-178
1. Verfasser: Ni, Xianglong
Format: Artikel
Sprache:eng
Schlagworte:
Astrodynamics
College mathematics
Decreasing functions
Dynamical systems
Exponential functions
Increasing functions
Infinity
Logarithmic functions
Logarithms
Mathematical functions
Tangents
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Beschreibung
Zusammenfassung:We study the discrete dynamical system that results from iterating the absolute-valued logarithmic function, with different bases. Specifically, we analyze the periodic points, those that return to their original value after a number of iterations. By studying their paths under iteration, we determine how many exist for any given period length.
ISSN:0746-8342
1931-1346
DOI:10.4169/college.math.j.47.3.172