Multiple scale analysis of delayed dynamical systems
Year: 1998
Authors: Giacomelli G., Politi A.
Autors Affiliation: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy;
INFM, Unità di Firenze, Italy;
INFN, sez. di Firenze, Italy
Abstract: The model equations of a semiconductor laser with delayed feeback are studied as a prototype of general delayed systems in the case of long delay (thermodynamic limit). It is shown that its behaviour in the vicinity of the Hopf bifurcation can be described by suitable amplitude equations. The derivation of the final model follows naturally from the space-time representation of the evolution and by the corresponding re-formulation of the linear stability problem. Regions characterized by both direct and inverse Hopf bifurcations are found, and in particular, parameter values are identified for which a chaotic evolution is expected. Copyright (C) Elsevier Science B.V.
Journal/Review: PHYSICA D-NONLINEAR PHENOMENA
Volume: 117 (1-4) Pages from: 26 to: 42
KeyWords: Semiconductor-laser; Feedback; Chaos; InstabilitiesDOI: 10.1016/S0167-2789(97)00318-7Citations: 44data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-11-10References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here