Inference of Time-Evolving Coupled Dynamical Systems in the Presence of   Noise
  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. 
Tomislav Stankovski, Andrea Duggento, Peter V. E. McClintock, and   Aneta Stefanovska
physics.data-an nlin.AO physics.bio-ph physics.comp-ph physics.med-ph