Destabilization threshold curves for diffusion systems with equal diffusivity under non-diagonal flux boundary conditions
Kunimochi Sakamoto · Discrete and Continuous Dynamical Systems - B · 2015
This article deals with destabilizations of Turing type for diffusive systems with equal diffusivity undernon-diagonal flux boundary conditions. Stability-instability threshold curves in the complex planeare described as the graph of a piecewise analytic function for simple $m$-dimensional domains $(m\geq 1)$.Also analyzed are effects caused by imposing homogeneous boundary conditionsof Dirichlet or Neumann type on appropriate portions of the domain boundary.