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Title: Boundary effects in extended dynamical systems
Authors: Eguíluz, Víctor M. ; Hernández-García, Emilio ; Piro, Oreste
Keywords: Spatiotemporal chaos
Pattern formation
Boundary conditions
Kuramoto–Sivashinsky
Ginzburg–Landau
[PACS] Nonlinear dynamics and nonlinear dynamical systems
[PACS] Pattern selection; pattern formation
Issue Date: 26-Jul-2000
Publisher: Elsevier
Citation: Physica A 283(1-2): 48-51 (2000)
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.
Description: 4 pages, 3 figures.-- PACS nrs.: 05.45.−a; 47.54.+r.-- Printed version published Aug 1, 2000.
Contributed to: VI Latin American Workshop on Nonlinear Physics (LAWNP'99), Córdoba, Argentina, Oct 12-16, 1999.-- ArXiv pre-print available at: http://arxiv.org/abs/nlin/0004029
Publisher version (URL): http://dx.doi.org/10.1016/S0378-4371(00)00126-6
URI: http://hdl.handle.net/10261/14525
DOI: 10.1016/S0378-4371(00)00126-6
ISSN: 0378-4371
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