Psi-series solutions of the cubic H\'{e}non-Heiles system and their convergence
Dynamical Systems
2015-06-26 v1 Exactly Solvable and Integrable Systems
Abstract
The cubic H\'enon-Heiles system contains parameters, for most values of which, the system is not integrable. In such parameter regimes, the general solution is expressible in formal expansions about arbitrary movable branch points, the so-called psi-series expansions. In this paper, the convergence of known, as well as new, psi-series solutions on real time intervals is proved, thereby establishing that the formal solutions are actual solutions.
Keywords
Cite
@article{arxiv.math/9904186,
title = {Psi-series solutions of the cubic H\'{e}non-Heiles system and their convergence},
author = {S. Melkonian},
journal= {arXiv preprint arXiv:math/9904186},
year = {2015}
}