Summary

Proceedings of the 2013 International Symposium on Nonlinear Theory and its Applications

2013

Session Number:C2L-C

Session:

Number:405

Estimation of maximum Lyapunov exponent using generalized synchronization in semiconductor lasers with optical feedback

Kazutaka Kanno,  Atsushi Uchida,  

pp.405-408

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.2.405

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Summary:
We numerically estimate the maximum Lyapunov exponent for a semiconductor laser with time-delayed optical feedback by using generalized synchronization. We use the auxiliary system approach to observe generalized synchronization, where a chaotic input signal from a semiconductor laser is injected into two semiconductor lasers with optical feedback and the two injected lasers are identically synchronized. The optical injection signal is removed after synchronization, and the two lasers start desynchronized. The maximum Lyapunov exponent can be evaluated by measuring an exponential growth rate of the difference between the outputs of the two desynchronized lasers. The maximum Lyapunov exponent estimated from this method is consistent with that obtained from linear stability analysis. This method can be applied for the estimation of the maximum Lyapunov exponent in experimental systems.

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