p-Adic and Adelic Rational Dynamical Systems
| dc.creator | Dragovich, Branko | |
| dc.creator | Mihajlovic, Dusan | |
| dc.date | 2007-07-06 | |
| dc.date.accessioned | 2026-07-07T08:17:29Z | |
| dc.date.available | 2026-07-07T08:17:29Z | |
| dc.description | 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. | |
| dc.description | 12 pages. Talk at the 4th Summer School in Modern Mathematical Physics, September 2006, Belgrade (Serbia) | |
| dc.identifier | https://arxiv.org/abs/0707.0984 | |
| dc.identifier | http://arxiv.org/abs/0707.0984 | |
| dc.identifier | SFIN XX A1 (2007) 187 - 196 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/134108 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Dynamical Systems | |
| dc.subject | Chaotic Dynamics | |
| dc.title | p-Adic and Adelic Rational Dynamical Systems | |
| dc.type | text |