Physics Department, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel.
Phys Rev Lett. 2012 Jul 20;109(3):034102. doi: 10.1103/PhysRevLett.109.034102. Epub 2012 Jul 17.
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.
空间周期驱动模式形成系统是一种重要但研究较少的控制模式的方法。它可用于控制一维周期模式的幅度和波数,稳定不稳定的模式,并在不稳定性开始时诱导它们。我们表明,尽管在一维空间中,驱动力作用是增强模式,但在二维空间中,它通过诱导二维矩形和斜模式来使模式失稳或位移。