PPT Slide
Pattern formation is modeled by means of a partial differential equation for y, which relates the temporal rate of change of y to the values of y and of its spatial derivatives. Below, we consider the following model, which is a generalization of the Swift-Hohenberg equation [1].
where y is real (and therefore n=b=h=d=0) when z is non-zero.
[1]. J. Swift and P.C. Hohenberg, Phys. Rev. A 15, 319 (1977).