Universal and non-universal properties of transitions to spatio-temporal chaos in coupled map lattices
| dc.creator | Mikkelsen, René | |
| dc.creator | van Hecke, Martin | |
| dc.creator | Bohr, Tomas | |
| dc.date | 2002-07-08 | |
| dc.date.accessioned | 2026-07-07T02:46:10Z | |
| dc.date.available | 2026-07-07T02:46:10Z | |
| dc.description | We study the transition from laminar to chaotic behavior in deterministic chaotic coupled map lattices and in an extension of the stochastic Domany--Kinzel cellular automaton [DK]. For the deterministic coupled map lattices we find evidence that ``solitons'' can change the {\em nature} of the transition: for short soliton lifetimes it is of second order, while for longer but {\em finite} lifetimes, it is more reminiscent of a first order transition. In the second order regime the deterministic model behaves like Directed Percolation with infinitely many absorbing states; we present evidence obtained from the study of bulk properties and the spreading of chaotic seeds in a laminar background. To study the influence of the solitons more specifically, we introduce a soliton including variant of the stochastic Domany--Kinzel cellular automaton. Similar to the deterministic model, we find a transition from second to first order behavior due to the solitons, both in a mean field analysis and in a numerical study of the statistical properties of this stochastic model. Our study illustrates that under the appropriate mapping some deterministic chaotic systems behave like stochastic models; but it is hard to know precisely which degrees of freedom need to be included in such description. | |
| dc.description | 15 pages, 17 Figs, submitted | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0207208 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0207208 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/19565 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Universal and non-universal properties of transitions to spatio-temporal chaos in coupled map lattices | |
| dc.type | text |