PPT Slide
Different sets of parameters lead to different types of patterns, some examples of which are given in the next slides. It is important to realize that when a pattern is allowed to grow in an isotropic system, the pattern is at first very irregular and shows numerous defects. As time goes on, most of these defects disappear, thereby making a reorganization of the pattern possible. The latter then shows large domains of regular planforms (e.g. hexagons or stripes) with different orientation. After an even longer period of time, these domains will reorganize themselves into a larger structure, which will often exhibit isolated defects.
An interactive program written in MATLAB is available to simulate the complex Swift-Hohenberg equation introduced above. In what follows, we show some examples of different types patterns obtained by simulation of this equation.