Experimental and numerical nonlinear dynamics description of a discretized hybrid optically bistable device

H. L. Mancini; E. Izaguirre

doi:10.1117/12.22186

1 July 1990 Experimental and numerical nonlinear dynamics description of a discretized hybrid optically bistable device

H. L. Mancini, E. Izaguirre

Proceedings Volume 1319, Optics in Complex Systems; (1990) https://doi.org/10.1117/12.22186
Event: 15th International Optics in Complex Systems, 1990, Garmisch, Germany

Abstract

The dynamics of an electrooptic hybrid bistable device with feedback is analized when a discrete signal is used. Experimental results show be and eultistability period doubling chaos and type I intermittence. Numerical results of a model without aproximations show a very good agreement with the experiment. 1 . DESCRIPTION Feedback is used in control engineering to stabilize the output in a position defined by a control parameter. Non linear dynaMic analisys shows that systems with feedback can be chaotic when the control parameter is changed. Gibbs and co workers (1) have shown for tt first time the bistability behavior in a hybrid system with a delayed feedback signal. Later on a lot of work was done in systems with other devices like liquid crystals and acustooptic modulators. We have changed the system introducing a digital signal (pulsed) and delaying the feedback until the next pulse was present at the modulator. In this way the output is controled by the feedback loop and can be described without any aproximations (like small signal modulation) by a recurrence equation. Xn+1 A E I + cos ( R. Xn + B ) 3 (1) In order to analize completely the system three control parameters were introduced experimentally to have all the possible changes of an unidimensional map: a multiplicative parameter of amplitude (like in the logistic map) and two aditional parameters in the argument of

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H. L. Mancini and E. Izaguirre "Experimental and numerical nonlinear dynamics description of a discretized hybrid optically bistable device", Proc. SPIE 1319, Optics in Complex Systems, (1 July 1990); https://doi.org/10.1117/12.22186

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