Boundary effects in extended dynamical systems
Vı́ctor M. Eguı́luz,
Emilio Hernández-Garcı́a and
Oreste Piro
Physica A: Statistical Mechanics and its Applications, 2000, vol. 283, issue 1, 48-51
Abstract:
In the framework of spatially extended dynamical systems, we present three examples in which the presence of walls leads to dynamic behavior qualitatively different from the one obtained in an infinite domain or under periodic boundary conditions. For a nonlinear reaction–diffusion model we obtain boundary-induced spatially chaotic configurations. Nontrivial average patterns arising from boundaries are shown to appear in spatiotemporally chaotic states of the Kuramoto–Sivashinsky model. Finally, walls organize novel states in simulations of the complex Ginzburg–Landau equation.
Keywords: Spatiotemporal chaos; Pattern formation; Boundary conditions; Kuramoto–Sivashinsky; Ginzburg–Landau (search for similar items in EconPapers)
Date: 2000
References: View complete reference list from CitEc
Citations:
Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437100001266
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:283:y:2000:i:1:p:48-51
DOI: 10.1016/S0378-4371(00)00126-6
Access Statistics for this article
Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis
More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().