Boundary-induced pattern formation from temporal oscillation: Spatial map analysis
Boundary-induced pattern formation from temporal oscillation: Spatial map analysis
Boundary-induced pattern formation from a spatially uniform state is investigated using one-dimensional reaction-diffusion equations. The temporal oscillation is successively transformed into a spatially periodic pattern, triggered by diffusion from the fixed boundary. We introduced a spatial map, whose temporal sequence, under selection criteria from multiple stationary solutions, can completely reproduce …