CLUSTER FORMATION, STANDING WAVES, AND STRIPE PATTERNS IN OSCILLATORYACTIVE MEDIA WITH LOCAL AND GLOBAL COUPLING

In recent years, the effect of global coupling on spatiotemporal patte rn formation in oscillatory media has attracted considerable interest. For the complex Ginzburg-Landau equation, modified by a global coupli ng term, we derive a criterion for cluster formation and discuss stand ing wave solutions with an intrinsic wavelength in the Benjamin-Feir s table parameter range. We argue that clustering expresses the dominanc e of global coupling. In two-dimensional media the interplay between t he standing wave instability and anisotropic diffusion may generate st ripe patterns coupled to a spatially uniform oscillating mode. Then, b y direct numerical simulation, we show that the globally coupled recon struction model-proposed by Krischer, Eiswirth, and Ertl for CO oxidat ion on Pt(110) [Surf. Sci. 900, 251 (1991)]-exhibits clustering and pr edicts the presence of standing waves with an intrinsic wavelength.