$p$-adic discrete dynamical systems and their applications in physics and cognitive sciences
| dc.creator | Khrennikov, Andrei | |
| dc.date | 2004-02-23 | |
| dc.date.accessioned | 2026-07-07T05:35:21Z | |
| dc.date.available | 2026-07-07T05:35:21Z | |
| dc.description | This review is devoted to dynamical systems in fields of $p$-adic numbers: origin of $p$-adic dynamics in $p$-adic theoretical physics (string theory, quantum mechanics and field theory, spin glasses), continuous dynamical systems and discrete dynamical systems. The main attention is paid to discrete dynamical systems - iterations of maps in the field of $p$-adic numbers (or their algebraic extensions): conjugate maps, ergodicity, random dynamical systems, behaviour of cycles, holomorphic dynamics. dynamical systems in finite fields. We also discuss applications of $p$-adic discrete dynamical systems to cognitive sciences and psychology. | |
| dc.identifier | https://arxiv.org/abs/nlin/0402042 | |
| dc.identifier | http://arxiv.org/abs/nlin/0402042 | |
| dc.identifier | Russian Journal of Mathematical Physics, v.11, N. 1, p.45-70, 2004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80672 | |
| dc.subject | Adaptation and Self-Organizing Systems | |
| dc.title | $p$-adic discrete dynamical systems and their applications in physics and cognitive sciences | |
| dc.type | text |