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

Kohei Yamasue, Takashi Hikihara

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

Time delayed feedback control is well known as a practical method for stabilizing unstable periodic orbits embedded in chaotic attractors. However, this control method still has an open problem of estimating domain of attraction for target unstable periodic orbits. In this paper, we numerically discuss the domain of attraction in Duffing systems under the control method. The disturbance to initial conditions reveals that the domain of attraction possibly exhibits self-similar structures in its boundaries.

Original languageEnglish
Pages (from-to)8
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume69
Issue number5
DOIs
Publication statusPublished - 2004
Externally publishedYes

ASJC Scopus subject areas

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

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