Domain of attraction for stabilized orbits in time delayed feedback controlled Duffing systems

Kohei Yamasue, Takashi Hikihara

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)

Abstract

The domain of attraction for the target unstable periodic orbits in the time delayed feedback controlled Duffing systems was numerically discussed. The domain of attraction with self-similarity suggested that the success of the control sensitively depends on onset timing of control and disturbance on controlled systems. It was emphasized that the domain of attraction with self-similarity was not restricted within particular implementation of the control method or specific controlled objects. It was shown that the disturbance to initial conditions reveals that the domain of attraction possibly exhibits self-similar structures in its boundaries.

Original languageEnglish
Article number056209
Pages (from-to)056209-1-056209-8
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume69
Issue number5 1
Publication statusPublished - 2004 May 1
Externally publishedYes

ASJC Scopus subject areas

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

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