Dynamics of saline oscillator under sinusoidal and bounded noise excitation

D.J. Owono Bekoa, W. Fokou Kenfack and M. Siewe Siewe

Chaos, Solitons & Fractals, 2022, vol. 158, issue C

Abstract: In this paper, we investigate the effects of harmonic and bounded noise excitations on the saline oscillator dynamics. To this end, we first of all modify an existing coupled saline oscillators model to account for an external excitation. We next analytically derive the system response to harmonic driving by the mean of the harmonic balance method. Then we study the effects of the excitation amplitude and frequency on the dynamic of a sole oscillator and two coupled oscillators. We find that over a wide range of the excitation parameters, the oscillator exhibits period- T oscillations whose amplitude increases with the excitation amplitude. This result is supported by simulations. Moreover, simulations show that periodically excited saline oscillator mainly exhibits, in addition, subharmonic and quasi-periodic oscillations. The above oscillatory modes are determined by the values of the excitation amplitude and frequency. By the mean of stochastic averaging method and Monte-Carlo simulations, the probabilistic response of the oscillator under bounded noise excitation is determined. We find that the saline oscillator does not display the stochastic P-bifurcation when its physical parameters remain in appropriate ranges. However, we find that the bounded noise excitation affects the oscillation period, midpoint and amplitude. Both harmonic and random excitations can be used to induce oscillations in the parameter region where free oscillations are dead.

Keywords: Saline oscillator; Sinusoidal and bounded noise excitations; Harmonic balance method; Stochastic averaging method (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:158:y:2022:i:c:s0960077922002648

DOI: 10.1016/j.chaos.2022.112054

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