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現代数学の系譜 工学物理雑談 古典ガロア理論も読む52



618 名前:現代数学の系譜 雑談 古典ガロア理論も読む [2018/08/25(土) 14:34:43.80 ID:uzWwqLq8.net]
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https://en.wikipedia.org/wiki/H%C3%A9non%E2%80%93Heiles_system
Henon?Heiles system
(抜粋)
While at Princeton in 1962, Michel Henon and Carl Heiles worked on the non-linear motion of a star around a galactic center with the motion restricted to a plane.
In 1964 they published an article titled "The applicability of the third integral of motion: Some numerical experiments".[1] Their original idea was to find a third integral of motion in a galactic dynamics.
For that purpose they took a simplified two-dimensional nonlinear axi-symmetric potential and found that the third integral existed only for a limited number of initial conditions. In the modern perspective the initial conditions that do not have the third integral of motion are called chaotic orbits.






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