Low dimensional travelling interfaces in coupled map lattices
| dc.creator | Carretero-González, R. | |
| dc.date | 1998-01-16 | |
| dc.date.accessioned | 2026-07-07T02:35:21Z | |
| dc.date.available | 2026-07-07T02:35:21Z | |
| dc.description | We study the dynamics of the travelling interface arising from a bistable piece-wise linear one-way coupled map lattice. We show how the dynamics of the interfacial sites, separating the two superstable phases of the local map, is finite dimensional and equivalent to a toral map. The velocity of the travelling interface corresponds to the rotation vector of the toral map. As a consequence, a rational velocity of the travelling interface is subject to mode-locking with respect to the system parameters. We analytically compute the Arnold's tongues where particular spatio-temporal periodic orbits exist. The boundaries of the mode-locked regions correspond to border-collision bifurcations of the toral map. By varying the system parameters it is possible to increase the number of interfacial sites corresponding to a border-collision bifurcation of the interfacial attracting cycle. We finally give some generalizations towards smooth coupled map lattices whose interface dynamics is typically infinite dimensional. | |
| dc.description | 7 LaTeX + 6 Postscript figures. To appear J. Bif. Chaos | |
| dc.identifier | https://arxiv.org/abs/chao-dyn/9801026 | |
| dc.identifier | http://arxiv.org/abs/chao-dyn/9801026 | |
| dc.identifier | Int. J. Bif. Chaos, Vol. 7, No. 12 (1997) 2745-2754 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/15578 | |
| dc.subject | Chaotic Dynamics | |
| dc.subject | Adaptation and Self-Organizing Systems | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | Low dimensional travelling interfaces in coupled map lattices | |
| dc.type | text |