Abstract

we study how to control the dynamics of excitable systems by using the phase control technique.We study how to control nonlinear semiconductor laser dynamics with optoelectronic feedback using the phase control method. The phase control method uses the phase difference between a small.added frequenc y and the main driving frequency to suppress chaos, which leads to various periodic orbits. The experimental studying for the evaluation of chaos modulation behavior are considered in two conditions, the first condition, when one frequency of the external perturbation is varied, secondly, when two of these perturbations are changed. The chaotic system becomes regular under one frequency or two frequencies, But in two frequencies, phase control showed an excellent ability to maintain regular behavior in chaotic window and reexcite chaotic behavior when destroyed. This dynamics of the laser output are analyzed by time series and bifurcation diagram.

Highlights

  • Chaos is a term used to describe the irregular behavior of dynamic systems resulting from a strictly deterministic evolution of time without any noise

  • Chaos control is considered most interesting and stimulating nonlinear dynamics methods, control methods are divided into two major categories depending on their interaction with the chaotic system, i.e. feedback and non-feedback methods [5, 6]

  • We described the experimental details where the phase control method is applied on a chaotic semiconductor laser

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Summary

Experimental evidence of Phase Control method in chaotic Semiconductor Laser

Abstract we study how to control the dynamics of excitable systems by using the phase control technique.We study how to control nonlinear semiconductor laser dynamics with optoelectronic feedback using the phase control method. The phase control method uses the phase difference between a small.added frequenc y and the main driving frequency to suppress chaos, which leads to various periodic orbits. The chaotic system becomes regular under one frequency or two frequencies, But in two frequencies ,phase control showed an excellent ability to maintain regular behavior in chaotic window and reexcite chaotic behavior when destroyed. This dynamics of the laser output are analyzed by time series and bifurcation diagram. ‫درسشا كيفية الديطرة في ليزر اشباه السهصلات غير الخطية الفهضهية باستخدام طريقة التحكم في‬ ‫ طريقة التحكم في الطهر تدتخدم فرق الطهر بين التردد الرغير السزاف والتردد الرئيدي لقسع‬.‫الطهر‬ ‫ الد ارسة العسلية لتقييم سلهك تذكيل الفهضى اخذت‬.‫ الأمر الذي يؤدي إلى اختلاف السدا ارت الدورية‬، ‫الفهضى‬ ‫ والثاني عشدما يتم تغيير اثشين من‬، ‫ عشدما يتغير تردد واحد من الاضط ارب الخارجي‬، ‫ الأولى‬: ‫في حالتين‬ ‫ ولكن التحكم‬، ‫ فيربح الشظام الفهضهي مشتظ ًسا تحت تأثير تردد واحد أو اثشين من الترددات‬.‫ىذه الاضط اربات‬ ‫في الطهر بترددين اثبت قدرتو على الحفاظ على الدلهك الدوري داخل الشافذة الفهضهية وكذلك اعادة إثارة‬ .‫ يتم تحليل ديشاميكيات إخ ارج الليزر من خلال الدلاسل الزمشية ومخطط التذعب‬.‫الدلهك الفهضهي من جديد‬

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