Responses of the complex Ginzburg–Landau equation under harmonic forcing

Jeenu Kim, Jysoo Lee and Byungnam Kahng

Physica A: Statistical Mechanics and its Applications, 2002, vol. 315, issue 1, 330-341

Abstract: We study the effect of external harmonic forcing on a one-dimensional complex Ginzburg–Landau equation (CGLE). For a sufficiently large forcing amplitude, a homogeneous state with no spatial structure is observed. As the forcing amplitude decreases, the state becomes unstable, forming a spatially periodic “stripe” state via a supercritical bifurcation. An approximate phase equation is derived, and an analytic solution for the stripe state is obtained. As the forcing amplitude decreases even further, the system undergoes a depinning transition into the state where the average phase has a non-zero velocity.

Keywords: Complex Ginzburg–Landau equation; Synchronization; Resonant forcing; Pattern formation (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:315:y:2002:i:1:p:330-341

DOI: 10.1016/S0378-4371(02)01243-8

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