Prof. Mohammad Reza Rahimi Tabar
Projects & Publications
Complex systems are composed of many components (subsystems) whose states change in time and result in multidimensional stochastic dynamics. Examples of complex systems include human economies, climate, nervous systems, internet, power grid, etc. Generally, it is assumed that the interactions between the subsystems are taking place in pairwise. However, nowadays, it is believed that interaction in such systems often occur between multiple nodes.
In this project, we show that the pair-wise, three-way, and higher-order interactions in such systems, can be derived exactly from the statistical properties of measured time series in subsystems. We demonstrate the substantial potential for applications of our new approach by a data-driven reconstruction of interactions in various multidimensional and networked dynamical systems. As a real-world example, we construct the flow of dynamics in the power curve of a wind turbine by means of the measured time series of velocity and power in a wind turbine.