Induced defect nucleation and side-band instabilities in hexagons with rotation and mean flow

Details Induced defect nucleation and side-band instabilities in hexagons with rotation and mean flow Induced defect nucleation and side-band instabilities in hexagons with rotation and mean flow

2002-07-29

arxiv.org/abs/nlin/0207056v2

Nonlinear Sciences

Chaotic Dynamics

24 pages, 15 figures, submitted to Physica D

Scientific paper

10.1016/S0167-2789(02)00739-X

The combined effect of mean flow and rotation on hexagonal patterns is investigated using Ginzburg-Landau equations that include nonlinear gradient terms as well as the nonlocal coupling provided by the mean flow. Long-wave and short-wave side-band instabilities are determined. Due to the nonlinear gradient terms and enhanced by the mean flow, the penta-hepta defects can become unstable to the induced nucleation of dislocations in the defect-free amplitude, which can lead to the proliferation of penta-hepta defects and persistent spatio-temporal chaos. For individual penta-hepta defects the nonlinear gradient terms enhance climbing or gliding motion, depending on whether they break the chiral symmetry or not.

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