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Elliptic solutions in the Hénon - Heiles model

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.

preprint2012arXivOpen access
Maria V. DeminaNikolai A. Kudryashov
nlin.SI
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Open access2 authors1 topic
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Maria V. DeminaNikolai A. Kudryashov

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