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  • 标题:Qualitative resonance of feedback-controlled chaotic oscillators
  • 本地全文:下载
  • 作者:Fabio Della Rossa ; Fabio Dercole
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2018
  • 卷号:51
  • 期号:33
  • 页码:1-6
  • DOI:10.1016/j.ifacol.2018.12.075
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractThe qualitative resonance of feedback-controlled chaotic oscillators is the ability of the control system to qualitatively synchronize with a reference signal similar to one of the unstable periodic orbits embedded in the open-loop attractor. This property, discovered by O. De Feo (2004a; 2004b) while studying Shilnikov-type attractors, was explained in terms of the random-like rephasing mechanism characterizing the oscillator’s dynamics, so to guarantee the eventual in-phase looking with the reference forcing. We experimentally show that the phenomenon works more in general, even in the absence of a rephasing mechanism. Intuitively, the forcing by the target cycle, or by a qualitative approximation of it, is sufficient to bring in the in-phase condition. Our results can make chaos control more practicable than so far imagined, as a qualitative control can be achieved with no a-priori knowledge about the target solution.
  • 关键词:KeywordsChaos controlNonlinear systemsQualitative resonanceStabilitySynchronization
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