  While the stochastic dynamics of two coupled oscillators have been
extensively studied, most of the research has focused on stochastic input with
equal intensity. However, this is often not the case in biological systems. In
this study, we investigate the effects of intrinsic noise with unequal
intensity on a pair of diffusively coupled lambda-omega oscillators that are
quiescent without noise but become excitable with the addition of a noise
stimulus. Our findings demonstrate that unequal noise can play a constructive
role in inducing phase synchronization (PS) in coupled oscillators.
Additionally, we show that PS can be optimized by moving the model closer to
the bifurcation point/excitation threshold. This study emphasizes the
significance of examining asymmetric stochasticity between oscillators and
provides valuable insight into how unequal noise intensity can be utilized to
promote PS.
