On two nonintegrable cases of the generalized Henon-Heiles systemстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:The generalized Henon-Heiles system with an additional nonpolynoinial term is considered. In two nonintegrable cases, new two-parameter solutions have been obtained in terms of elliptic functions. These solutions generalize the known one-parameter solutions. The singularity analysis shows that it is possible that three-parameter single-valued solutions exist in these two nonintegrable cases. The knowledge of the Laurent series solutions simplifies searches for the elliptic solutions and allows them to be automatized. (c) 2005 Pleiades Publishing, Inc.