Various spontaneous oscillations and Hopf bifurcation have been observed in hair bundles
of auditory hair cells, which play very important roles in the auditory function. In the present …

The phase reduction approach has manifested its power in analyzing the rhythmic behaviors
for limit cycle oscillators. For coherent oscillation purely induced by noise, eg, the coherence …

Biophysical models describing complex cellular phenomena typically include systems of
nonlinear differential equations with many free parameters. While experimental …

The spontaneously oscillating hair bundle of sensory cells in the inner ear is an example of
a stochastic, nonlinear oscillator driven by internal active processes. Moreover, this internal …

In this work, I investigate the effect of noise on a classical two-degree-of-freedom pitch-
plunge aeroelastic system. The inlet velocity of the flow is modeled as a stochastically …

We study a stochastically driven, damped nonlinear oscillator whose frequency is modulated
by a white or coloured noise. Using diagrammatic perturbation theory, we find that in the …

The spontaneously oscillating hair bundle of sensory cells in the inner ear is an example of
a stochastic, nonlinear oscillator driven by internal active processes. Moreover, this internal …