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arXiv · 1208.0726

Elliptic solutions in the Hénon - Heiles model

Maria V. Demina·Nikolai A. Kudryashov
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Abstract

Equations of motion corresponding to the Hénon - Heiles system are considered. A method enabling one to find all elliptic solutions of an autonomous ordinary differential equation or a system of autonomous ordinary differential equations is described. New families of elliptic solutions of a fourth--order equation related to the Hénon - Heiles system are obtained. A classification of elliptic solutions up to the sixth order inclusively is presented.

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Maria V. Demina, Nikolai A. Kudryashov. 2012-08-03. Elliptic solutions in the Hénon - Heiles model. https://arxiv.org/abs/1208.0726

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