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Berlin 2012 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 22: Posters I

DY 22.54: Poster

Wednesday, March 28, 2012, 17:00–19:00, Poster A

Distinguishing determinism from stochasticity: ordinal analysis of the structure of the spiking activity of semiconductor lasers with optical feedback — •Andrés Aragoneses1, Taciano Sorrentino2, Nicolas Rubido3, Maria Carme Torrent1, and Cristina Masoller11Universitat Politécnica de Catalunya, Terrassa, Spain — 2Universidade Federal da Paraíba, Joao Pessoa, Brazil — 3University of Aberdeen, Old Aberdeen, UK

When a semiconductor laser is subjected to optical feedback it can exhibit complex dynamical instabilities. Close to the laser threshold, these instabilities, referred to as Low Frequency Fluctuations (LFFs), consist in sudden, irregular power dropouts followed by gradual recoveries. The mechanisms underlying the LFFs result from the interplay of deterministic nonlinearities and stochastic processes and are not yet fully understood. We analyze experimental time traces of the dropouts activity of the laser employing a symbolic analysis method, referred to as Ordinal Analysis, that transforms the inter-dropout intervals (IDIs) into a series of words. We then study the statistics, the ordering and the transitions among these words to distinguish determinism from stochasticity. To analyze the underlying dynamics of the system we separate the IDI time sequence into trains (or bursts) of consecutive short dropout intervals that are separated by longer intervals that correspond to fixed point cw stable emission. The statistics of the bursts intervals and of the fixed point intervals allow to distinguish signatures of determinism and stochasticity in the full sequence of LFF dropout events.

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