Turing pattern formation in heterogenous media

JP Voroney, AT Lawniczak, R Kapral - Physica D: Nonlinear Phenomena, 1996 - Elsevier
The effects of spatial inhomogeneities in the initial distribution of immobile complexing
species on the spatiotemporal dynamics of activator-inhibitor systems are investigated. If the
initial concentration of the complexing species is below a critical value and homogeneously
distributed, the stable attractor is a limit cycle; for higher concentrations the stable attractor is
a Turing pattern. When the complexing agent is inhomogeneously distributed interactions
between the oscillatory dynamics and Turing pattern formation are possible. Such …
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