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/