Abstract:
Interesting patterns are observed almost everywhere in nature starting from structure of a cell to that of a galaxy. In the area of pattern
formation [1], an interesting fact is that similar patterns are observed in
a vast variety of systems, giving rise to universalities. There is strong
recent research interest [2–10] in finding explanation of the appearance
and further evolution of various types of patterns and selection of one
pattern over the other. In addition to natural science, it will have applications in many other fields, e.g., economics, population dynamics,
etc [11]. A primary aim of studies on pattern formations [1] is to identify the similarities in patterns in apparently different systems and to
develop theories for a quantitative understanding for this important and
interesting universal phenomena.
