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Reproduction of Hénon-Heiles' Dynamical System Yuasa, Manabu ユアサ, マナブ Magono, Shigeko マゴノ, シゲコ Dynamical system Principal component analysis Hénon-Heiles' system [Abstract] Ordinary differential equations for Hénon-Heiles' dynamical system (Hénon, Heiles 1964) are reproduced by using the principal component analysis (PCA) in twice. The adopted method (Unno 1995) is concretely proved to be capable for the empirical construction of dynamical systems from observed data sets. In this paper the data sets are arranged by the numerical integration of Hénon-Heiles' original differential equations. The three figures accuracy is obtained for the reproduced coefficients in the resulting differential equation, which seems to result from the time interval adopted for the data. application/pdf departmental bulletin paper 近畿大学理工学総合研究所 1998-02-28 NA application/pdf 理工学総合研究所研究報告 10 21 26 Annual reports by Research Institute for Science and Technology 09162054 https://kindai.repo.nii.ac.jp/record/21922/files/AN10074306-19980228-0021.pdf https://kindai.repo.nii.ac.jp/records/21922 eng