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Cite Details

Yair Mau, Aric Hagberg and Ehud Meron, "Spatial periodic forcing can displace patterns it is intended to control", Physical Review Letters, vol. 109, doi:10.1103/PhysRevLett.109.034102, pp. 034102, 2012


Spatial periodic forcing of pattern-forming systems is an important, but lightly studied, method of controlling patterns. It can be used to control the amplitude and wavenumber of one-dimensional periodic patterns, to stabilize unstable patterns, and to induce them below instability onset. We show that although in one spatial dimension the forcing acts to reinforce the patterns, in two dimensions it acts to destabilize or displace them by inducing two-dimensional rectangular and oblique patterns.

BibTeX Entry

author = {Yair Mau and Aric Hagberg and Ehud Meron},
title = {Spatial periodic forcing can displace patterns it is intended to control},
year = {2012},
urlpdf = {http://prl.aps.org/pdf/PRL/v109/i3/e034102},
journal = {Physical Review Letters},
volume = {109},
doi = {10.1103/PhysRevLett.109.034102},
pages = {034102}