Exact solutions for a class of integrable Henon-Heiles-type systems
arXiv:0911.4260 · doi:10.1063/1.3300310
Abstract
We study the exact solutions of a class of integrable Henon-Heiles-type systems (according to the analysis of Bountis et al. (1982)). These solutions are expressed in terms of two-dimensional Kleinian functions. Special periodic solutions are expressed in terms of the well-known Weierstrass function. We extend some of our results to a generalized Henon-Heiles-type system with n+1 degrees of freedom.
RevTeX4-1, 13 pages, Submitted to J. Math. Phys