Just saw the revered, enigmatic and highly energetic Bard Ermentrout at the SCNS at EPF Lausanne.
Besides being quite revealing on his early life hobbies and their effects on his sensory apparatus, he gave a hard to follow but interesting talk on how to perform a dimensional reduction of noisy oscillator neuron models.
We formulate a phase-reduction method for a general class of noisy limit cycle oscillators and ﬁnd that
the phase equation is parametrized by the ratio between time scales of the noise correlation and amplitude
relaxation of the limit cycle. The equation naturally includes previously proposed and mutually exclusive
phase equations as special cases. The validity of the theory is numerically conﬁrmed. Using the method,
we reveal how noise and its correlation time affect limit cycle oscillations.
Check out the paper here: http://prl.aps.org/pdf/PRL/v102/i19/e194102