Pattern formation by boundary forcing in convectively unstable, oscillatory media with and without differential transport.

摘要: Convectively unstable, open reactive flows of oscillatory media, whose phase is fixed or periodically modulated at the inflow boundary, are known to result in stationary and traveling waves, respectively. The latter implicated biological segmentation. boundary-controlled pattern selection by this flow-distributed oscillator (FDO) mechanism has been generalized include differential flow (DIFI) diffusion (Turing) modes. Our present goal clarify relationships among these mechanisms general case where there as well diffusion. To do so we analyze dispersion relation for linear perturbations presence periodic boundary forcing, show how solutions affected transport. We find that DIFI FDO modes closely related lie same frequency range, while Turing gives rise a distinct set unstable separate range. Finally, substantiate analysis nonlinear simulations touch upon issue competition spatial