中部大学

中部大学

教員情報

荒井 迅 ARAI Zin

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プロフィール

職名 教授
所属 創発学術院
人間力創成総合教育センター教養課題教育プログラム(科学リテラシー)
最終学歴 京都大学大学院理学研究科博士後期課程修了
学位 博士(理学)
専門分野 数学
研究テーマ 力学系、計算トポロジー
研究紹介PDF

学術論文、評論

Zin Arai, Yutaka Ishii and Hiroki Takahasi, "Boundary of the horseshoe locus for the Hénon family", to appear in SIAM Journal on Applied Dynamical Systems.

Takuro Tsutsumi, Yuriko Ono, Zin Arai and Tetsuya Taketsugu, "A visualization of the intrinsic reaction coordinate and global reaction route map by classical multidimensional scaling", to appear in Journal of Chemical Theory and Computation.

Zin Arai and Yutaka Ishii, "On parameter loci of the Hénon family", Communications in Mathematical Physics, DOI 10.1007/s00220-018-3174-0, 2018.

Zin Arai, "On loops in the hyperbolic locus of the complex Hénon map and their monodromies", Physica D 334 (2016), 133-140.

Zin Arai, "Decomposition and clustering for the visualization of dynamical systems", Mathematical Progress in Expressive Image Synthesis I, Springer (2014), ISBN 978-4-431-55006-8, 13-20.

Zin Arai, "A rigorous numerical algorithm for computing the linking number of links", Nonlinear Theory and Its Applications, Vol. 4, No. 1 (2013), 104-110.

Zin Arai, Marcio Gameiro, Tomas Gedeon, Hiroshi Kokubu, Konstantin Mischaikow and Hiroe Oka, "Graph-based topological approximation of saddle-node bifurcation in maps", RIMS Kokyuroku Bessatsu B 31 (2012), 225-241.

Zin Arai, Kazunori Hayashi and Yasuaki Hiraoka, "Mayer-Vietoris sequences and coverage problems in sensor networks", Japan Journal of Industrial and Applied Mathematics 28 (2011), 237-250.

Z. Arai, W. Kalies, H. Kokubu, K. Mischaikow, H. Oka and P. Pilarczyk, "A databases schema for the global dynamics of multi-parameter systems", SIAM Journal on Applied Dynamical Systems 8 (2009), 757-789.

Z. Arai, H. Kokubu and P. Pilarczyk, "Recent development in rigorous computational methods in dynamical systems", Japan Journal of Industrial and Applied Mathematics 26 (2009), 393-417.

Zin Arai, "On Hyperbolic Plateaus of the Hénon Map", Experimental Mathematics 16:2 (2007), 181-188.

Zin Arai and Konstantin Mischaikow, "Rigorous Computations of Homoclinic Tangencies", SIAM Journal on Applied Dynamical Systems 5 (2006), 280-292.

Zin Arai, "Equivalence of Graded Module Braids and Interlocking Sequences", Journal of Mathematics of Kyoto University 43 (2003), 441-449.

Zin Arai, "Tangencies and the Conley Index", Ergodic Theory and Dynamical Systems 22 (2002), No. 4, 973-999.

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