Depinning, front motion, and phase slips

Yi-Ping Ma; Edgar Knobloch

doi:10.1063/1.4731268

Depinning, front motion, and phase slips

Yi-Ping Ma, Edgar Knobloch

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	033101
Journal	Chaos: An Interdisciplinary Journal of Nonlinear Science
Volume	22
Issue number	3
Early online date	5 Jul 2012
DOIs	https://doi.org/10.1063/1.4731268
Publication status	E-pub ahead of print - 5 Jul 2012

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abstract = "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.",

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AB - 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.

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Depinning, front motion, and phase slips

Abstract

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