The Belousov-Zhabotinsky (BZ) reaction in a reverse microemulsion, consisting of nanodroplets of water, surrounded by a monolayer of the surfactant AOT, in a sea of oil, constitutes a rich experimental system for the study of pattern formation. I shall discuss a variety of patterns that are accessible by varying the chemical composition of the BZ system and the structure of the microemulsion. Several of these phenomena, including Turing patterns, inwardly moving targets and spirals, accelerating waves and segmented waves, have not been observed in the ordinary, aqueous BZ system. The microemulsion system poses a number of intriguing theoretical issues.
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