We analyse a reaction-diffusion system and show that complex spatial patterns can be generated by imposing Dirichlet boundary conditions on one or more of the reactant concentrations. This pattern persists even when the homogeneous steady state with Neumann conditions is stable.
Maini, P. K., & Myerscough, M. R. (1997). Boundary-driven instability. Applied Mathematics Letters, 10(1), 1–4. https://doi.org/10.1016/S0893-9659(96)00101-2