Skip to content

Unnested islands of period-doublings in an injected semiconductor laser

Research output: Working paperWorking paper and Preprints

  • Sebastian Wieczorek
  • B Krauskopf
  • D Lenstra
Original languageEnglish
Publication date2001
StatePublished

Abstract

We present a theoretical study of unnested period-doubling islands in three-dimensional rate equations modelling a semiconductor laser subject to external optical injection. In this phenomenon successive curves of period-doublings are not arranged in nicely nested islands, but they intersect each other. This overall structure is globally organized by several codimension-two bifurcations. As a consequence, the chaotic region existing inside an unnested island of period-doublings can be entered not only via a period-doubling cascade but also via the break-up of a torus, and even via the sudden appearance of a chaotic attractor. In order to fully understand these different chaotic transitions we reveal underlying global bifurcations and we show how they are connected to codimension-two bifurcation points. Unnested islands of period-doublings appear to be generic and, hence, must be expected in a large class of dynamical systems.

Additional information

Additional information: Preprint of a paper later published by the American Physical Society (2001), Physical Review E, 64(5), ISSN 1063-651X

Documents

Documents

  • Bcanm 2001r05

    Preprint (usually an early version) , 7 MB, PDF-document

  • Warning

    Preprint (usually an early version) , 176 bytes, text/plain

View research connections

Related faculties, schools or groups