Nonlinear Phenomena in Complex Systems, 2012, Vol.15, No.4, pp.403-409

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2012, Vol.15, No.4, pp.403-409

Dynamics of Lang-Kobayashi Equations with Large Control Coefficient.
Elena V. Grigorieva, Ilya S. Kaschenko, and Sergey A. Kaschenko

We study the system of delayed differential equations modeling the dynamics of semiconductor laser with optical feedback (Lang-Kobayashi model). In the case of instability of external cavity modes we derive the ensembles of quasi-normal forms which appear to be the parabolic (or degenerate parabolic) partial differential equations for slowly varied amplitude of the electric field. Coexistence of a large number of multi-frequency oscillatory regimes is discussed.

Key words: laser dynamics, delayed differential equations, asymptotic analysis

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