Helmholtz Gemeinschaft

Search
Browse
Statistics
Feeds

Cluster formation, standing waves, and stripe patterns in oscillatory active media with local and global coupling

Item Type:Article
Title:Cluster formation, standing waves, and stripe patterns in oscillatory active media with local and global coupling
Creators Name:Falcke, M. and Engel, H. and Neufeld, M.
Abstract:In recent years, the effect of global coupling on spatiotemporal pattern formation in oscillatory media has attracted considerable interest. For the complex Ginzburg-Landau equation, modified by a global coupling term, we derive a criterion for cluster formation and discuss standing wave solutions with an intrinsic wavelength in the Benjamin-Feir stable parameter range. We argue that clustering expresses the dominance of global coupling. In two-dimensional media the interplay between the standing wave instability and anisotropic diffusion may generate stripe patterns coupled to a spatially uniform oscillating mode. Then, by direct numerical simulation, we show that the globally coupled reconstruction model—proposed by Krischer, Eiswirth, and Ertl for CO oxidation on Pt(110) [Surf. Sci. 900, 251 (1991)]—exhibits clustering and predicts the presence of standing waves with an intrinsic wavelength.
Source:Physical Review E
ISSN:1063-651X
Publisher:American Institute of Physics (U.S.A.)
Volume:52
Number:1
Page Range:763-771
Date:July 1995
Official Publication:https://doi.org/10.1103/PhysRevE.52.763
PubMed:View item in PubMed

Repository Staff Only: item control page

Open Access
MDC Library