Stalling chaos control accelerates convergence

Christian Bick*, Christoph Kolodziejski, Marc Timme

*Corresponding author for this work

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

Since chaos control has found its way into many applications, the development of fast, easy-to-implement and universally applicable chaos control methods is of crucial importance. Predictive feedback control has been widely applied but suffers from a speed limit imposed by highly unstable periodic orbits. We show that this limit can be overcome by stalling the control, thereby taking advantage of the stable directions of the uncontrolled chaotic map. This analytical finding is confirmed by numerical simulations, giving a chaos-control method that is capable of successfully stabilizing periodic orbits of high period.

Original languageEnglish
Article number063038
JournalNew Journal of Physics
Volume15
DOIs
Publication statusPublished - 1 Jun 2013
Externally publishedYes

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