Noise tolerance of the AGOY control method for stabilizing chaotic systems

Kathryn Glass, Masaharu Adachi, Alistair Mees

Research output: Contribution to journalArticlepeer-review

Abstract

Presented by D. Auerbach, C. Grebogi, E. Ott, and J. A. Yorke in Auerbach et al. [1992], the AGOY control method allows us to stabilize periodic points of a chaotic map without knowledge of the underlying equations governing the system, and using only a one-dimensional time series. We are interested to discover the effect of observational noise on the success of the algorithm. In this paper, we will investigate the tolerance of this algorithm under observational noise and compare this tolerance to that of other stabilization algorithms.

Original languageEnglish
Pages (from-to)1333-1340
Number of pages8
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume6
Issue number7
DOIs
Publication statusPublished - Jul 1996

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