Two-dimensional turing patterns in a CIMA reaction with flow
Lawrence Forbes, Reuben Allen, Heath Dimsey, Michael Brideson
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Source: Crossref
Published: Oct 1, 2026
DOI: 10.1007/s10910-026-01836-y
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Abstract The Lengyel–Epstein mathematical model for the CIMA chemical reaction is studied. The reaction is envisaged to occur in a rectangularly-shaped batch spatial reactor. In addition, flow terms have been added to the original model, as an approximation to exchange of reagents with those in a well-mixed reservoir. These novel flow terms are responsible for the creation of parameter zones in which three different equilibrium states may exist. We demonstrate that large-amplitude limit-cycle oscillations can occur, enclosing three equilibria. Turing bifurcations are studied in detail, and it is shown that two-dimensional spatial patterns of chemical concentration can occur, both as time-dependent transient configurations and also as stationary spatial patterns.
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