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Recent years have seen a rapid development of experi-mental and theoretical investigations in the field of pattern formation under nonequilibrium conditions. 1 On the experi-mental side. orototvoe sYstems like the Ravleigh-Benard convection in'physi~; 2 an'd the Belousov-Zh~ botinsky (BZ) reaction in chemistry3, 4 have been exploited exhaustively. Theory has focused on investigations of general properties in the vicinity of the onset of instability", 5 as well as on con-siderations of reaction-diffusion models like the Oregonator for the BZ reaction. 6, 7 Here, we present a model for the CO oxidation on the Pt (110) surface under vacuum conditions,'which is based on the elementary steps of the reaction9 and includes spatial coupling via surface diffusion of CO and the interplay between the reaction and the gas phase. 1O This reaction exhibits a great variety of spatial patterns,,,, 12 and is particularly at-tractive to the …