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Stich M, Casal A, Beta C. Stabilization of standing waves through time-delay feedback. Phys Rev E Stat Nonlin Soft Matter Phys. 2013;88(4):042910doi: 10.1103/PhysRevE.88.042910.
Stich, M., Casal, A., & Beta, C. (2013). Stabilization of standing waves through time-delay feedback. Physical review. E, Statistical, nonlinear, and soft matter physics, 88(4), 042910. https://doi.org/10.1103/PhysRevE.88.042910
Stich, Michael, et al. "Stabilization of standing waves through time-delay feedback." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 88,4 (2013): 042910. doi: https://doi.org/10.1103/PhysRevE.88.042910
Stich M, Casal A, Beta C. Stabilization of standing waves through time-delay feedback. Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Oct;88(4):042910. doi: 10.1103/PhysRevE.88.042910. Epub 2013 Oct 17. PMID: 24229252.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Oct;88(4):042910. doi: 10.1103/PhysRevE.88.042910. Epub 2013 Oct 17.

Stabilization of standing waves through time-delay feedback.

Physical review. E, Statistical, nonlinear, and soft matter physics

Michael Stich, Alfonso Casal, Carsten Beta

Affiliations

  1. Departamento de Matemática Aplicada, ETSAM, Universidad Politécnica de Madrid, Avenida Juan de Herrera 4, 28040 Madrid, Spain.

PMID: 24229252 DOI: 10.1103/PhysRevE.88.042910

Abstract

Standing waves are studied as solutions of a complex Ginzburg-Landau equation subjected to local and global time-delay feedback terms. The onset is described as an instability of the uniform oscillations with respect to spatially periodic perturbations. The solution of the standing wave pattern is given analytically and studied through simulations.

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