Taming of Modulation Instability by Spatio-Temporal Modulation of the Potential.

ABSTRACT: Spontaneous pattern formation in a variety of spatially extended nonlinear systems always occurs through a modulation instability, sometimes called Turing instability: the homogeneous state of the system becomes unstable with respect to growing modulation modes. Therefore, the manipulation of the modulation instability is of primary importance in controlling and manipulating the character of spatial patterns initiated by that instability. We show that a spatio-temporal periodic modulation of the potential of spatially extended systems results in a modification of its pattern forming instability. Depending on the modulation character the instability can be partially suppressed, can change its spectrum (for instance the long wave instability can transform into short wave instability), can sp

SUBMITTER: Kumar S 

PROVIDER: S-EPMC4541154 | biostudies-literature | 2015 Aug

REPOSITORIES: biostudies-literature