# ARAI, Zin:Creative Research Initiative SOUSEI,Tenure-Track Project Assistant Professor,Applied Mathematics

- Keyword(s):
- Conley index, Computer assisted proof, Validated computation, Chaos, Homoclinic bifurcation, Monodromy
- Research Interest:
- Dynamical Systems
- Research Activities:
- I have been studying dynamical systems using topological and computational methods. I am interested in the global behavior of dynamical systems, such as structural stability, homoclinic bifurcations, etc. Using topological and computational tools including validiated computation and graph theory, I developed some rigorous mathematical algorithms for proving global properties of dynamical systems.
- WebPage:
- http://www.cris.hokudai.ac.jp/arai/