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經歷

• 研究員 Institute of Mathematics, Academia Sinica, R.O.C. 1987
• 數學所副研究員 Institute of Mathematics, Academia Sinica, R.O.C. 1983

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研究簡介

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.

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部分著作目錄

1. "An interesting application of the Intermediate Value Theorem: A simple proof of Sharkovsky's theorem" , 2015-07.
2. "On the class of similar square {-1,0,1}-matrices arising from vertex maps on trees, Preprint" , 2015.