Spatial and Temporal Patterns Formed by Systems Far from Equilibrium

Over the past years enormous progress has been made in chemistry in the experimental and theoretical study of temporal and spatio-temporal patterns formed in systems far from thermal equilibrium. In this paper I discuss why quite different systems can show similar behavior and how this behavior can be adequately described by evolution equations or by discrete maps. Examples for the formation of spatial patterns in fluids and flames are provided. The problem of chaos and routes to it, including that via quasi-periodicity, are discussed in the framework described above. Particular attention is paid to the relation between discrete maps and description via trajectories in a phase space.

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