| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 10414253 | Communications in Nonlinear Science and Numerical Simulation | 2014 | 21 Pages |
Abstract
Equations of motion corresponding to the Hénon-Heiles Hamiltonian 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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Authors
Maria V. Demina, Nikolay A. Kudryashov,