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Responses of the complex Ginzburg–Landau equation under harmonic forcing

Author

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  • Kim, Jeenu
  • Lee, Jysoo
  • Kahng, Byungnam

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.

Suggested Citation

  • Kim, Jeenu & Lee, Jysoo & Kahng, Byungnam, 2002. "Responses of the complex Ginzburg–Landau equation under harmonic forcing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 315(1), pages 330-341.
    • Handle: RePEc:eee:phsmap:v:315:y:2002:i:1:p:330-341
    DOI: 10.1016/S0378-4371(02)01243-8
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