Noise effect on the dynamics and synchronization of saline oscillator's model

The effects of noisy flows on the dynamics and synchronization of the saline oscillator's model are studied. To this aim, we first of all take the noisy perturbations into account in our recent mathematical model of coupled saline oscillators in the form of an additive noise. We next study, through numerical simulations, the effects of the noisy perturbations on the relaxation oscillations and the bifurcation of the oscillatory mode of a sole oscillator. Lastly, the effects of noise on the synchronization of the oscillatory behaviors observed in several coupled cups are investigated through numerical simulations. We find that noises of low intensity synchronize with the internal periodicity of the system and have as effect the shortening of the relaxation time of oscillations. Also, we show that noise has as major effect, to overcome the region of ”dead” dynamical behavior. Accounting for noise is useful to reproduce some of the experimental findings in the sense that noises break the identity of coupled identical oscillators.