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Theoretical framework for linear stability of an anomalous sub-diffusive
activator-inhibitor system is set. Generalized Turing instability conditions are found to depend on
anomaly exponents of various species. In addition to monotonous instability, known from
normal diffusion, in an anomalous system oscillatory modes emerge. For equal anomaly
exponents for both species the type of unstable modes is determined by the ratio of the reactants'
diffusion coefficients. When the ratio exceeds its normal...
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