Dr. Du's research interests lie in the area of Discrete Dynamical Systems. He has provided several very simple proofs of the celebrated Sharkovsky's theorem on the periods of coexistent periodic points of continuous maps on the interval. Recently, he is pursuing the nature of chaos and proposes that a map is chaotic if for every point and every nonempty open set V there exists a point in V such that their iterates approach each other infinitely often and stand a distance apart infinitely often.

Research Fields: Discrete Dynamical Systems

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