Amplitude-phase description of stochastic neural oscillators across the Hopf bifurcation

We derive a unified amplitude-phase decomposition for both noisy limit cycles and quasicycles; in the latter case, the oscillatory motion has no deterministic counterpart. We extend a previous amplitude-phase decomposition approach using the stochastic averaging method (SAM) for quasicycles by takin...

Full description

Bibliographic Details
Main Authors: Arthur S. Powanwe, André Longtin
Format: Article
Language:English
Published: American Physical Society 2021-07-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.3.033040