We can apply the linear stability analysis to continuous field models. This allows us to analytically obtain the conditions for which a homogeneous equilibrium state of a spatial system loses its stabi...We can apply the linear stability analysis to continuous field models. This allows us to analytically obtain the conditions for which a homogeneous equilibrium state of a spatial system loses its stability and thereby the system spontaneously forms non-homogeneous spatial patterns. Note again that the homogeneous equilibrium state discussed here is no longer a single point, but it is a straight line (or a flat plane) that covers the entire spatial domain.
