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arXiv · 0707.0984

p-Adic and Adelic Rational Dynamical Systems

Branko Dragovich·Dusan Mihajlovic
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Abstract

In the framework of adelic approach we consider real and p-adic properties of dynamical system given by linear fractional map f (x) = (a x + b)/(c x + d), where a, b, c and d are rational numbers. In particular, we investigate behavior of this adelic dynamical system when fixed points are rational. It is shown that any of rational fixed points is p-adic indifferent for all but a finite set of primes. Only for finite number of p-adic cases a rational fixed point may be attractive or repelling. The present analysis is a continuation of the paper math-ph/0612058. Some possible generalizations are discussed.

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Branko Dragovich, Dusan Mihajlovic. 2007-07-06. p-Adic and Adelic Rational Dynamical Systems. https://arxiv.org/abs/0707.0984

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