Recent progress in mathematical modelling of complex systems

Abstract

In this paper, I review recent progress in studies on mathematical modelling of complex systems from a general viewpoint. First, I explain our theoretical platform composed of (1) advanced control theory of complex systems,(2) complex networks theory, and (3) nonlinear data analysis and data-driven modelling, that has been developed for mathematical modelling of complex systems. Second, I introduce recent various applications based on the theoretical platform. Finally, I discuss possible future directions of this research on the mathematical modelling of complex systems.