One-Dimensional Dynamics and High-Dimensional Network Systems

Reconstructing resonant phase oscillator interactions from noisy time series

Not scheduled

25m

Aula Dini (Palazzo del Castelletto)

Short Talk

Speaker

Bengi Dönmez (Vrije Universiteit Amsterdam)

Description

We present a novel method for reconstructing networks and hypernetworks of coupled phase oscillators from noisy time series. Noise and uncertainty can make it hard or impossible to distinguish different oscillator networks based on observed dynamical behavior. Thus, our method does not aim to determine exact phase equations for the oscillators, but instead recovers their first and second order resonant normal form. This normal form contains crucial information on the underlying network and yields accurate approximations of the dynamics. We provide rigorous estimates on the accuracy of the reconstructed normal form, and we illustrate the method with numerical examples.