title: Flow-induced arrest of spatiotemporal chaos and transition to a stationary pattern in the Gray-Scott model.
abstract: We examine the prototypical Gray-Scott model, which mimics cubic autocatalytic reaction with linear decay of the autocatalyst, to model the kinetics of a reaction-diffusion system subjected to advective streamline flow. For a proper choice of boundary conditions and parameter space, the system admits wave-induced spatiotemporal chaos in the absence of flow. We show that flow above a critical value leads to an arrest of the spatiotemporal chaos due to a change in the instability from absolute to convective type. Furthermore, stationary spatial structures are borne out of a second successive bifurcation for yet another critical flow value. The theoretical formulations are corroborated by extensive numerical simulation of the full reaction-diffusion-advection system in one dimension.
authors.affiliation: Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700 032, India.
authors.forename: Debojyoti
authors.initials: D
authors.lastname: Das