Delayed-feedback control of spatial bifurcations and chaos in open-flow models

Keiji Konishi, Hideki Kokame, Kentaro Hirata

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

A delayed-feedback control scheme for suppressing spatial bifurcation and chaotic behavior in open-flow models is presented. It is shown that spatial bifurcation and chaotic behavior never occur when the delayed-feedback controller is designed such that the following two conditions are satisfied: all the poles of the transfer function of each site are inside a unit circle and the H norm of the transfer function is less than one. A simple systematic procedure for design of the delayed-feedback controller is provided. It is confirmed that the theoretical results agree well with the numerical simulations.

Original languageEnglish
Pages (from-to)384-388
Number of pages5
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume62
Issue number1 A
DOIs
Publication statusPublished - Jul 1 2000
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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