CNCS Center for Nonlinear and Complex Systems
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Publications [#248383] of Joshua Socolar

Papers Published

  1. Harrington, I; Socolar, JE, Limitation on stabilizing plane waves via time-delay feedback., Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 64 no. 5 Pt 2 (November, 2001), pp. 056206, ISSN 1539-3755 [11736053], [doi]
    (last updated on 2019/06/17)

    Previous work has demonstrated the possibility of stabilizing plane wave solutions of one-dimensional systems using a spatially local form of time-delayed feedback. We show that the natural extension of this method to two-dimensional systems fails due to the presence of torsion-free unstable perturbations. Linear stability analysis of the complex Ginzburg-Landau equation reveals that long wavelength, transverse wave instabilities cannot be suppressed by the method of extended time-delay autosynchronization. The conclusion follows from symmetry considerations and therefore applies to a wide class of models with simple plane wave solutions.