Self-interacting polynomials
| dc.creator | Vivaldi, F. | |
| dc.date | 2007-09-10 | |
| dc.date.accessioned | 2026-07-07T08:28:29Z | |
| dc.date.available | 2026-07-07T08:28:29Z | |
| dc.description | We introduce a class of dynamical systems of algebraic origin, consisting of self-interacting irreducible polynomials over a field. A polynomial f is made to act on a polynomial g by mapping the roots of g. This action identifies a new polynomial h, as the minimal polynomial of the displaced roots. By allowing several polynomials to act on one another, we obtain a self-interacting system with a rich dynamics, which affords a fresh viewpoint on some algebraic dynamical constructs. We identify the basic invariant sets, and study in some detail the case of quadratic polynomials. We perform some experiments on self-interacting polynomials over finite fields. | |
| dc.description | 27 pages, 7 postscript figures | |
| dc.identifier | https://arxiv.org/abs/0709.1370 | |
| dc.identifier | http://arxiv.org/abs/0709.1370 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137639 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37F99; 11Z05 | |
| dc.title | Self-interacting polynomials | |
| dc.type | text |