التفاصيل البيبلوغرافية
| العنوان: |
Slow-fast dynamics of a time-delayed electro-optic oscillator. |
| المؤلفون: |
Weicker, Lionel, Erneux, Thomas, D'Huys, Otti, Danckaert, Jan, Jacquot, Maxime, Chembo, Yanne, Larger, Laurent |
| المصدر: |
Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences; 9/28/2013, Vol. 371 Issue 1999, p2-2, 1p |
| مصطلحات موضوعية: |
SQUARE waves, OSCILLATIONS, DIFFERENTIAL equations, APPROXIMATION theory, BIFURCATION diagrams, HOPF bifurcations, PARAMETER estimation |
| مستخلص: |
Square-wave oscillations exhibiting different plateau lengths have been observed experimentally by investigating an electro-optic oscillator. In a previous study, we analysed the model delay differential equations and determined an asymptotic approximation of the two plateaus. In this paper, we concentrate on the fast transition layers between plateaus and show how they contribute to the total period. We also investigate the bifurcation diagram of all possible stable solutions. We show that the square waves emerge from the first Hopf bifurcation of the basic steady state and that they may coexist with stable low-frequency periodic oscillations for the same value of the control parameter. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
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