Abstract
In this paper, an experimental study has been conducted regarding the indication of resonance in chaotic semiconductor laser. Resonant perturbations are effective for harnessing nonlinear oscillators for various applications such as inducing chaos and controlling chaos. Interesting results have been obtained regarding to the effect of the chaotic resonance by adding the frequency on the systems. The frequency changes nonlinear dynamical system through a critical value, there is a transition from a periodic attractor to a strange attractor. The amplitude has a very relevant impact on the system, resulting in an optimal resonance response for appropriate values related to correlation time. The chaotic system becomes regular under a moderate frequencies or amplitudes. These dynamics of the laser output are analyzed by time series, FFT and bifurcation diagram as a result.
Highlights
Chaos is "a term used to denote the irregular behavior of dynamical systems arising from a strictly deterministic time evolution without any source of noise or external stochasticity [1]
The regularity of nonlinear dynamic system is related to the optimal amount of frequency and increment of the amplitude
The results indicate that the amplitude could be considered as a parameter at optimal amount of frequency (167 Hz) which controls the system’s collective dynamics, the different amplitudes have controlled the chaotic system from chaos to quasi periodic and to periodic
Summary
Chaos is "a term used to denote the irregular behavior of dynamical systems arising from a strictly deterministic time evolution without any source of noise or external stochasticity [1]. The chaotic behavior could be identified in many systems studied in various areas, such as engineering, neural sciences, and physics [2]. Control theory is a somehow new topic, yet it is extremely an advanced branch of non-linear sciences that deal with studying input-feedback processes. It has the ability of impacting the behavior of dynamical systems. To generate chaos in semiconductor lasers, nonlinearity is considered very important [3]. The dynamic operating state related to the laser could be accomplished via many approaches such as optoelectronic feedback and optical feedback [6]. Concerning the optoelectronic feedback, a photo detector responds just to the intensity of laser output. Optoelectronic feedback is an efficient technique producing and controlling nonlinear dynamics in semiconductor laser [7]
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