English

Nearest pattern interaction and global pattern formation

Pattern Formation and Solitons 2009-10-31 v1

Abstract

We studied the effect of nearest pattern interaction on a globally pattern formation in a 2-dimensional space, where patterns are to grow initially from a noise in the presence of 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.

Keywords

Cite

@article{arxiv.nlin/0005052,
  title  = {Nearest pattern interaction and global pattern formation},
  author = {Seong-Ok Jeong and Hie-Tae Moon and Tae-Wook Ko},
  journal= {arXiv preprint arXiv:nlin/0005052},
  year   = {2009}
}