Limitation on stabilizing plane waves via time-delay feedback.

Journal Article

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.

Full Text

Duke Authors

Cited Authors

  • Harrington, I; Socolar, JE

Published Date

  • November 2001

Published In

Volume / Issue

  • 64 / 5 Pt 2

Start / End Page

  • 056206 -

PubMed ID

  • 11736053

International Standard Serial Number (ISSN)

  • 1539-3755

Digital Object Identifier (DOI)

  • 10.1103/PhysRevE.64.056206

Language

  • eng

Conference Location

  • United States