Averaging approach to phase coherence of uncoupled limit-cycle oscillators receiving common random impulses
Adaptation and Self-Organizing Systems
2009-03-13 v1
Abstract
Populations of uncoupled limit-cycle oscillators receiving common random impulses show various types of phase-coherent states, which are characterized by the distribution of phase differences between pairs of oscillators. We develop a theory to predict the stationary distribution of pairwise phase difference from the phase response curve, which quantitatively encapsulates the oscillator dynamics, via averaging of the Frobenius-Perron equation describing the impulse-driven oscillators. The validity of our theory is confirmed by direct numerical simulations using the FitzHugh-Nagumo neural oscillator receiving common Poisson impulses as an example.
Keywords
Cite
@article{arxiv.0903.2112,
title = {Averaging approach to phase coherence of uncoupled limit-cycle oscillators receiving common random impulses},
author = {Kensuke Arai and Hiroya Nakao},
journal= {arXiv preprint arXiv:0903.2112},
year = {2009}
}