CONTROLLING SPATIOTEMPORAL DYNAMICS WITH TIME-DELAY FEEDBACK

Authors
BLEICH ME SOCOLAR JES
Citation
Me. Bleich et Jes. Socolar, CONTROLLING SPATIOTEMPORAL DYNAMICS WITH TIME-DELAY FEEDBACK, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(1), 1996, pp. 17-20
Citations number
26
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
54
Issue
1
Year of publication
1996
Pages
17 - 20
Database
ISI
SICI code
1063-651X(1996)54:1<17:CSDWTF>2.0.ZU;2-8
Abstract
We suggest a spatially local feedback mechanism for stabilizing period ic orbits in spatially extended systems. Our method, which is based on a comparison between present and past states of the system, does not require the external generation of an ideal reference state and can su ppress both absolute and convective instabilities. As an example, we a nalyze the complex Ginzburg-Landau equation in one dimension, showing how the time-delay feedback enlarges the stability domain for travelin g waves.