Determining an Organizing Center for Passive Optical Systems

  • G. Dangelmayr
  • M. Wegelin
Part of the NATO ASI Series book series (ASIC, volume 313)

Abstract

The Maxwell-Bloch equations underlying passive optical systems are considered. Using MAPLE we determine a highly degenerate singularity which corresponds to the coalescence of a cusp and a degenerate Hopf bifurcation with broken transversality condition. The dynamics associated with the unfolding of this singularity gives rise to a rich variety of different behaviour including, for example, two types of infinite period bifurcations on tori.

Keywords

Periodic Orbit Hopf Bifurcation Phase Portrait Bifurcation Diagram Center Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 1990

Authors and Affiliations

  • G. Dangelmayr
    • 1
  • M. Wegelin
    • 1
  1. 1.Institute for Information SciencesUniversity of TübingenTübingenGermany

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