Topic: phase reduction

From the periodic spiking of single neurons to brain rhythms, oscillations are a ubiquitous neural phenomenon. Phase reduction is a powerful way of analysing deterministic systems exhibiting such oscillatory behavior: the N-dimensional state of the system is encoded into a one dimensional phase variable via projection onto the closed limit cycle attractor. Such a reduction gives rise to one-dimensional models that have been used to model a variety of single cell (e.g. theta-neuron) and network (e.g. Kuramoto oscillator networks) dynamics. However, real-world oscillations are often noisy and b