Localized Structures in Dissipative Nonlinear Systems - Abstract

Staliunas, Kestutis

Pattern and solitons in oscillatory systems with space-modulated forcing (with spatial “rocking”)

We propose an alternative to the classical 2:1 resonant forcing of oscillatory systems (the spatially uniform, time-periodic forcing at twice the oscillators? frequency) in order to excite and control spatial patterns. The proposed forcing is 1:1 resonant with the oscillators? frequency, but its amplitude is spatially modulated. Through a multiple-scale analysis and numerical simulations of the driven complex Ginzburg-Landau equation we show that the spatially modulated forcing induces a phase bistability and leads to the emergence of dissipative structures associated with the phase-bistability, which are characteristic to the 2:1 resonance. Both periodic and random-like spatially modulated forcings are shown to be effective.