Oscillating systems with cointegrated phase processes

TY - JOUR

T1 - Oscillating systems with cointegrated phase processes

AU - Østergaard, Jacob

AU - Rahbek, Anders

AU - Ditlevsen, Susanne

PY - 2017/10/1

Y1 - 2017/10/1

N2 - We present cointegration analysis as a method to infer the network structure of a linearly phase coupled oscillating system. By defining a class of oscillating systems with interacting phases, we derive a data generating process where we can specify the coupling structure of a network that resembles biological processes. In particular we study a network of Winfree oscillators, for which we present a statistical analysis of various simulated networks, where we conclude on the coupling structure: the direction of feedback in the phase processes and proportional coupling strength between individual components of the system. We show that we can correctly classify the network structure for such a system by cointegration analysis, for various types of coupling, including uni-/bi-directional and all-to-all coupling. Finally, we analyze a set of EEG recordings and discuss the current applicability of cointegration analysis in the field of neuroscience.

AB - We present cointegration analysis as a method to infer the network structure of a linearly phase coupled oscillating system. By defining a class of oscillating systems with interacting phases, we derive a data generating process where we can specify the coupling structure of a network that resembles biological processes. In particular we study a network of Winfree oscillators, for which we present a statistical analysis of various simulated networks, where we conclude on the coupling structure: the direction of feedback in the phase processes and proportional coupling strength between individual components of the system. We show that we can correctly classify the network structure for such a system by cointegration analysis, for various types of coupling, including uni-/bi-directional and all-to-all coupling. Finally, we analyze a set of EEG recordings and discuss the current applicability of cointegration analysis in the field of neuroscience.

KW - Cointegration

KW - Coupled oscillators

KW - EEG signals

KW - Interacting dynamical system

KW - Phase process

KW - Synchronization

KW - Winfree oscillator

U2 - 10.1007/s00285-017-1100-2

DO - 10.1007/s00285-017-1100-2

M3 - Journal article

C2 - 28138760

AN - SCOPUS:85010924548

SN - 0303-6812

VL - 75

SP - 845

EP - 883

JO - Journal of Mathematical Biology

JF - Journal of Mathematical Biology

IS - 4

ER -