Volume 6, Issue 2, May 1999, Pages 139 - 160
Psi-Series Solutions of the Cubic Hénon-Heiles System and Their Convergence
Available Online 1 May 1999.
- https://doi.org/10.2991/jnmp.19184.108.40.206How to use a DOI?
- The cubic Hénon-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.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - JOUR AU - S. MELKONIAN PY - 1999 DA - 1999/05 TI - Psi-Series Solutions of the Cubic Hénon-Heiles System and Their Convergence JO - Journal of Nonlinear Mathematical Physics SP - 139 EP - 160 VL - 6 IS - 2 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.19220.127.116.11 DO - https://doi.org/10.2991/jnmp.1918.104.22.168 ID - MELKONIAN1999 ER -