Distribution of subcritical Hopf bifurcations and regular and chaotic attractors in optical bistable systems

Hu Gang, Cun-Zheng Ning, H. Haken

Research output: Contribution to journalArticle

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Abstract

The distributions, in parameter space, of subcritical Hopf bifurcations and the various attractors of time-dependent motions of optical bistable systems are investigated systematically. The main emphasis is placed on the influence of the variations of the control parameters on the distributions. We have observed the tristability of large-amplitude regular or chaotic motions, periodic pulsations, and the stationary state for the parameters where no instability of the stationary solution exists at all over the complete range of the external field. The problem of how to find the various attractors and how to reveal chaotic motions by adjusting the control parameters is discussed according to the numerical results.

Original languageEnglish (US)
Pages (from-to)3975-3984
Number of pages10
JournalPhysical Review A
Volume41
Issue number7
DOIs
StatePublished - 1990
Externally publishedYes

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ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

Distribution of subcritical Hopf bifurcations and regular and chaotic attractors in optical bistable systems. / Gang, Hu; Ning, Cun-Zheng; Haken, H.

In: Physical Review A, Vol. 41, No. 7, 1990, p. 3975-3984.

Research output: Contribution to journalArticle

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