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NIMS-National Institute for Mathematical Sciences South Korea

korea

A study on structure and dynamics of complex systems represented by digraph

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A study on structure and dynamics of complex systems
represented by digraph

Complex systems such as brain images, software networks by using the theory of dynamical systems and complex networks.

Research

Which vertices must be controlled to control all vertices? Which vertices must be oberved to understand the state of the entire ststem?
Which vertices must be controlled to control all vertices? Which vertices must be oberved to understand the state of the entire ststem?
  • Studies on complex systems are mainly focused on data acquisition, analysis, and theoretical modeling. For predicting dynamic behavior or response of complex systems, dynamical modeling of complex systems is necessary
  • The framework of Complex systems leads mathemacial sciences to interdisciplinary research area, such as mathematical bioscience, mathematical social science, mathematical economic science etc.
  • Most studies in complex systems are focused on undirected graph, studies in complex systems represented by directed graph are in early stage.


Digraph로 표현되는 복잡계의 대표적인 예로, 명금류의 새의 신경망 회로, 예쁜꼬마선충의 신경세포 네트워크, 세포내의 신진대사 pathway가 있다
Digraph로 표현되는 복잡계의 대표적인 예로, 명금류의 새의 신경망 회로, 예쁜꼬마선충의 신경세포 네트워크, 세포내의 신진대사 pathway가 있다

Expected effect

  • Applying analysis based on directed graph to neuronal systems and electronic circuits.
  • Developing a tool to analyze rhythmic activity generated by complex systems, and control system dynamics.
Division of Computational Mathematicspin Hwang, Dong-Uk
Tel. +82-42-717-5720