Codimension-two bifurcations in single-mode optical bistable systems

Hu Gang, Cun Zheng Ning, H. Haken

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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
Issue number5
StatePublished - 1990
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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