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Standing waves in a complex Ginzburg-Landau equation with time-delay feedback

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  • Standing waves are studied as solutions of a complex Ginzburg- Landau equation subjected to local and global time-delay feedback terms. The onset of standing waves is studied at the instability of the homogeneous periodic solution with respect to spatially periodic perturbations. The solution of this spatiotemporal wave pattern is given and is compared to the homogeneous periodic solution.
    Mathematics Subject Classification: Primary: 35K57; 35B10; Secondary: 35Q92.

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