p-Adic和Adelic有理动力系统
p-Adic and Adelic Rational Dynamical Systems
摘要：
在Adelic方法的框架下，我们考虑了由线性分式映射f（x）=（ax + b）/（cx + d）给出的动力系统的实和p-adic性质，其中a，b，c和d是有理数.特别地，我们研究了当不动点是有理的时候，这类动力系统的行为。证明了除有限素数集外，任何有理不动点都是p-adic无关的。只有在有限个p-adic情形下，有理不动点才可能是吸引的或排斥的。本分析是论文math-ph/0612058的继续。一些可能的推广进行了讨论。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
