Codimension-two bifurcations in single-mode optical bistable systems

Hu Gang, Cun-Zheng Ning, H. Haken

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

The codimension-two bifurcation set of single-mode optical bistable systems is investigated. The entire set is classified into three classes, a cusp bifurcation set, a degenerate Hopf bifurcation set, and the intersection of a Hopf bifurcation and a saddle-node bifurcation. Based on the specification of degenerate Hopf bifurcation, super- and subcritical Hopf bifurcations can be identified. It is found that, in the subcritical Hopf bifurcation region, an attractor of time-dependent motion may coexist with the stable stationary solution when the cavity is filled by a passive medium. Moreover, the coexistence of three attractors is observed for certain parameter combinations.

Original languageEnglish (US)
Pages (from-to)2702-2711
Number of pages10
JournalPhysical Review A
Volume41
Issue number5
DOIs
StatePublished - 1990
Externally publishedYes

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saddles
cusps
intersections
specifications
cavities

ASJC Scopus subject areas

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

Cite this

Codimension-two bifurcations in single-mode optical bistable systems. / Gang, Hu; Ning, Cun-Zheng; Haken, H.

In: Physical Review A, Vol. 41, No. 5, 1990, p. 2702-2711.

Research output: Contribution to journalArticle

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