Distinguishing similar patterns with different underlying instabilities: effect of advection on systems with Hopf, Turing-Hopf, and wave instabilities.

Systems with the same local dynamics but different types of diffusive instabilities may show the same type of patterns. In this paper, we show that under the influence of advective flow the scenario of patterns that is formed at different velocities change; therefore, we propose the use of advective flow as a tool to uncover the underlying instabilities of a reaction-diffusion system.