title: Nearest pattern interaction and global pattern formation
abstract: We studied the effect of nearest pattern interaction on a global pattern formation in a two-dimensional space, where patterns are to grow initially from a noise in the presence of a periodic supply of energy. Although our approach is general, we found that this study is relevant in particular to the pattern formation on a periodically vibrated granular layer, as it gives a unified perspective of the experimentally observed pattern dynamics such as oscillon and stripe formations, skew-varicose and crossroll instabilities, and also a kink formation and decoration.
authors.affiliation: Department of Physics, Korea Advanced Institute of Science and Technology, Taejon 305-701, Korea.
authors.initials: SO
authors.lastname: Jeong
authors.initials: HT
authors.lastname: Moon
authors.initials: TW
authors.lastname: Ko