2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134108In 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.12 pages. Talk at the 4th Summer School in Modern Mathematical Physics, September 2006, Belgrade (Serbia)Mathematical PhysicsDynamical SystemsChaotic Dynamicstext