Recent progress in mathematical modelling of complex systems

• Aihara Kazuyuki

  Institute of Industrial Science, The University of Tokyo

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.

Journal

• Nonlinear Theory and Its Applications, IEICE

  Nonlinear Theory and Its Applications, IEICE 9 (2), 149-154, 2018

  The Institute of Electronics, Information and Communication Engineers

Keywords

• mathematical modelling
• nonlinear dynamics
• complex systems
• attention
• dynamical network biomarkers (DNB)
• optoelectronic neural networks

Details

• CRID: 1390001205345908608
• NII Article ID: 130006602793
• DOI: 10.1587/nolta.9.149
• ISSN: 21854106
• Web Site: https://www.jstage.jst.go.jp/article/nolta/9/2/9_149/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed