Dynamics of inhomogeneous one--dimensional coupled map lattices
| dc.creator | Rybalko, S. | |
| dc.creator | Loskutov, A. | |
| dc.date | 2004-09-07 | |
| dc.date.accessioned | 2026-07-07T05:35:56Z | |
| dc.date.available | 2026-07-07T05:35:56Z | |
| dc.description | We study the dynamics of one--dimensional discrete models of one--component active medium built up of spatially inhomogeneous chains of diffusively coupled piecewise linear maps. The nonhomogeneities (``defects'') are treated in terms of parameter difference in the corresponding maps. Two types of space defects are considered: periodic and localized. We elaborate analytic approach to obtain the regions with the qualitatively different behaviour in the parametric space. For the model with space--periodic nonhomogeneities we found an exact boundary separating the regions of regular and chaotic dynamics. For the chain with a unique (localized) defect the numerical estimate is given. The effect of the nonhomegeneity on the global dynamics of the system is analyzed. | |
| dc.description | 15 pages, 6 figures. Article is submitted to Physica D | |
| dc.identifier | https://arxiv.org/abs/nlin/0409014 | |
| dc.identifier | http://arxiv.org/abs/nlin/0409014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80825 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Dynamics of inhomogeneous one--dimensional coupled map lattices | |
| dc.type | text |