The availability of time series of the evolution of the properties of physical systems is
increasing, stimulating the development of many novel methods for the extraction of …

Synchronization, a basic nonlinear phenomenon, is widely observed in diverse complex
systems studied in physical, biological and other natural sciences, as well as in social …

Identifying causal networks is important for effective policy and management
recommendations on climate, epidemiology, financial regulation, and much else. We …

The dynamical systems found in nature are rarely isolated. Instead they interact and
influence each other. The coupling functions that connect them contain detailed information …

The application of methods drawn from nonlinear and stochastic dynamics to the analysis of
cardiovascular time series is reviewed, with particular reference to the identification of …

Since the operative definition given by CWJ Granger of an idea expressed by N. Wiener, the
Wiener-Granger causality (WGC) has been one of the most relevant concepts exploited by …

Recently, methods have been developed to analyse couplings in dynamic systems. In the
field of medical analysis of complex cardiovascular and cardiorespiratory systems, there is …

We consider an extension of Granger causality to nonlinear bivariate time series. In this
frame, if the prediction error of the first time series is reduced by including measurements …

We discuss some problems encountered in inference of directionality of coupling, or, in the
case of two interacting systems, in inference of causality from bivariate time series. We …

Epilepsy is a malfunction of the brain that affects over 50 million people worldwide. Epileptic
seizures are usually characterized by an abnormal synchronized firing of neurons involved …