Spatial periodic forcing can displace patterns it is intended to control

Yair Mau*, Aric Hagberg, Ehud Meron

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

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 wave number 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.

Original languageAmerican English
Article number034102
JournalPhysical Review Letters
Volume109
Issue number3
DOIs
StatePublished - 17 Jul 2012
Externally publishedYes

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