Abstract

In this paper, we show that the cubic nonlinear optoelectronic oscillator (CN-OEO) [IEEE J. Quantum Electron. 55, 5000106-1 (2019) [CrossRef]  ] depicts the phenomena of amplitude jump and crenelated oscillations in its routes to chaos. The amplitude jump is characterized by a sudden variation of the frequency of the limit-cycle oscillations. Using the normal form of the system, we characterize the limit-cycle oscillations. The amplitude and the frequency of these limit-cycle oscillations are determined mathematically and analyzed in terms of system parameters such as the time delay and feedback gain. It is analytically confirmed that the CN-OEO displays limit-cycle oscillations whose frequencies remain greater than those of a standard optoelectronic oscillator (the one with a standard bandpass filter in the electrical path). Our experimental measurements are in good agreement with the analytical and numerical results.

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