Abstract
In the present literature, an attempt has been made to understand the birhythmic behaviour of a modified time delayed Dual Loop Optoelectronic Oscillator (DLOEO). To this end, an analytical solution of periodic oscillation is obtained using weakly nonlinear analysis. Two coexisting periodic oscillations are identified, considering shorter loop delay as a control parameter. Subsequently, to control the birhythmicity, a self-feedback mechanism is applied that incorporates the variable to be controlled and its canonical conjugate. Our study reveals that with proper control of the feedback strength, birhythmicity can be removed and monorhythmicity can be induced in the oscillator.
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