Pinning and depinning of fronts bounding spatially localized structures in the forced complex Ginzburg-Landau equation describing the 1:1 resonance is studied in one spatial dimension, focusing on regimes in which the structure grows via roll insertion instead of roll nucleation at either edge. The motion of the fronts is nonlocal but can be analyzed quantitatively near the depinning transition.
|Chaos: An Interdisciplinary Journal of Nonlinear Science
|Early online date
|5 Jul 2012
|E-pub ahead of print - 5 Jul 2012