Bistability and torus break-up in a semiconductor laser with phase-conjugate feedback

被引：32

作者：

Green, K ^{[1
]}

Krauskopf, B

Engelborghs, K

机构：

[1] Univ Bristol, Dept Engn Math, Bristol BS8 1TR, Avon, England

[2] Katholieke Univ Leuven, Dept Comp Sci, B-3001 Louvain, Belgium

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2002年 / 173卷 / 1-2期

基金：

英国工程与自然科学研究理事会;

关键词：

lasers with delay; crisis bifurcation; continuation; unstable manifolds;

D O I：

10.1016/S0167-2789(02)00656-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a detailed study of a route to chaos via quasiperiodicity on a torus in a semiconductor laser with phase-conjugate feedback. Highlighting the use of new tools that go far beyond mere simulation, we compute bifurcation diagrams and unstable manifolds of saddle periodic orbits. In this way, we show how a torus breaks up with a final sudden onset of chaos in a crisis bifurcation. We also identify regions of bistability between periodic solutions and other attractors in the system. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：114 / 129

页数：16

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