Nearest pattern interaction and global pattern formation

Details Nearest pattern interaction and global pattern formation Nearest pattern interaction and global pattern formation

2000-05-26

arxiv.org/abs/nlin/0005052v1

Phys. Rev. E Vol 62, pp 7778-7780 (2000)

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1103/PhysRevE.62.7778

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.

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