Volume 61, Number 5, March 2003
|Page(s)||613 - 619|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||01 February 2003|
Synchronization of weakly stable oscillators and semiconductor laser arrays
Weierstrass Institute for Applied Analysis and Stochastics Mohrenstrasse 39, D-10117 Berlin, Germany
2 Optique Nonlinéaire Théorique, Université Libre de Bruxelles Campus Plaine - CP 231, B-1050 Bruxelles, Belgium
3 Oxford Centre for Industrial and Applied Mathematics, Oxford University Oxford, OX1 3LB, UK
Accepted: 3 January 2003
We study the synchronization properties of an array of nonidentical globally coupled limit cycle oscillators. Above a critical coupling strength, some oscillators undergo a self-pulsing instability. We study analytically the synchronization conditions below and above this instability threshold, thus removing the usual restriction of limit cycle stability. Self-pulsing decreases the order parameter and synchronization degradation can be reduced by delaying the coupling among the oscillators. Semiconductor lasers coupled by an external mirror are used as a convenient realization of that model.
PACS: 42.65.Sf – Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics / 42.55.Px – Semiconductor lasers; laser diodes / 05.45.Xt – Synchronization; coupled oscillators
© EDP Sciences, 2003
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