Research



(Last updated 2020/11/28)


Research interest(Topology, Dynamical systems)

・Foliations

・Codimension 1,2 dynamical systems (i.e. surface flows, surface homeomorphisms, and flows on 3-manifolds)

・Partially Cyclic Ordered Tree (COT) representations of 2D flows

・Topological flow data analysis (TFDA)

・Topological invariants of flows on topological spaces



Keywords

・Codimension 1,2 foliations and dynamical systems (class space, T_0 space, almost periodicity, R-closedness, recurrence, nonwandering property, poset)

・Flows on surfaces (COT representations,structural stability, Poincare-Bendixson theorem, characterizations of limit sets)

・Generalizations of Morse graphs of flows, Reeb graphs of 2D Hamiltonian flows, and CW decompositions of Morse-Smale flows








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