Fractal Evolution of Normalized Feedback Systems on a Lattice
| dc.creator | Fussy, Siegfried | |
| dc.creator | Groessing, Gerhard | |
| dc.creator | Schwabl, Herbert | |
| dc.date | 2002-04-18 | |
| dc.date.accessioned | 2026-07-07T05:34:03Z | |
| dc.date.available | 2026-07-07T05:34:03Z | |
| dc.description | Highly nonlinear behavior of a system of discrete sites on a lattice is observed when a specific feedback loop is introduced into models employing coupled map lattices, quantum cellular automata, or the real-valued analogues of the latter. It is shown that the combination of two operations, i.e. i) enhancement of a site's value when fulfilling a feedback condition and ii) normalization of the system after each time step, produces relatively short-lived spatio-temporal patterns whose mean lifetime can be considered as emergent order parameter of the system. This mean lifetime obeys a scaling law involving a control parameter which tunes the "fault tolerance" of the feedback condition. Thus, within appropriate ranges of the systems variables, the dynamical properties can be characterized by a "fractal evolution dimension" (as opposed to a "fractal dimension"). | |
| dc.description | 10 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/nlin/0204047 | |
| dc.identifier | http://arxiv.org/abs/nlin/0204047 | |
| dc.identifier | Phys. Lett. A 186 (1994) 145 - 151 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80218 | |
| dc.subject | Adaptation and Self-Organizing Systems | |
| dc.subject | Cellular Automata and Lattice Gases | |
| dc.title | Fractal Evolution of Normalized Feedback Systems on a Lattice | |
| dc.type | text |