TY - JOUR
T1 - Spatial periodic forcing can displace patterns it is intended to control
AU - Mau, Yair
AU - Hagberg, Aric
AU - Meron, Ehud
PY - 2012/7/17
Y1 - 2012/7/17
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84863952627&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.109.034102
DO - 10.1103/PhysRevLett.109.034102
M3 - Article
AN - SCOPUS:84863952627
SN - 0031-9007
VL - 109
JO - Physical Review Letters
JF - Physical Review Letters
IS - 3
M1 - 034102
ER -