%0 Journal Article
%T Inference of Time-Evolving Coupled Dynamical Systems in the Presence of Noise
%A Tomislav Stankovski
%A Andrea Duggento
%A Peter V. E. McClintock
%A Aneta Stefanovska
%J Physics
%D 2012
%I arXiv
%R 10.1103/PhysRevLett.109.024101
%X A new method is introduced for analysis of interactions between time-dependent coupled oscillators, based on the signals they generate. It distinguishes unsynchronized dynamics from noise-induced phase slips, and enables the evolution of the coupling functions and other parameters to be followed. It is based on phase dynamics, with Bayesian inference of the time-evolving parameters achieved by shaping the prior densities to incorporate knowledge of previous samples. The method is tested numerically and applied to reveal and quantify the time-varying nature of cardiorespiratory interactions.
%U http://arxiv.org/abs/1206.1961v2