Persistence of chaos in a time-delayed-feedback controlled Duffing system

Kohei Yamasue, Takashi Hikihara

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

This paper concerns global phase structures of a time-delayed-feedback controlled two-well Duffing system. The remains of a global stretch and fold structure along an unstable manifold, which develops from an unstable fixed point in function space, reveals that the global chaotic dynamics is inherited from the original system by the controlled system. The remains of the original chaotic dynamics causes a highly complicated domain of attraction for target orbits and a long chaotic transient before convergence.

Original languageEnglish
Article number036209
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume73
Issue number3
DOIs
Publication statusPublished - 2006
Externally publishedYes

ASJC Scopus subject areas

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

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