Bifurcations of an optically pumped three-level laser model

W. Forysiak, J. V. Moloney, R. G. Harrison

Research output: Contribution to journalArticle

25 Scopus citations

Abstract

We study the bifurcations in a sixth-order model of a resonant, homogeneously broadened, three-level, optically pumped laser. Standard analytical and numerical techniques are used to obtain a complete unfolding of the model's equilibrium bifurcations in its four-dimensional parameter space. Regions of stationary, periodic and potentially chaotic behaviour are then readily identified. Turning to two specific cases, we study the principal global bifurcations in a two-parameter plane and show their origin in special degenerate bifurcation points of codimension two. The different relative dispositions of the principal homoclinic and heteroclinic connections in these two examples result in different local bifurcation behaviours and chaotic dynamics, which we illustrate in detail.

Original languageEnglish (US)
Pages (from-to)162-186
Number of pages25
JournalPhysica D: Nonlinear Phenomena
Volume53
Issue number1
DOIs
StatePublished - Oct 1991
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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