Journal of Nonlinear Mathematical Physics

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Volume 6, Issue 2, May 1999, Pages 139 - 160

Psi-Series Solutions of the Cubic Hénon-Heiles System and Their Convergence

Authors
S. Melkonian
Corresponding Author
S. Melkonian
Received 31 August 1998, Revised 22 October 1998, Accepted 12 December 1998, Available Online 1 May 1999.
DOI
10.2991/jnmp.1999.6.2.3How to use a DOI?
Abstract

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.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
6 - 2
Pages
139 - 160
Publication Date
1999/05/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.1999.6.2.3How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

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TY  - JOUR
AU  - S. Melkonian
PY  - 1999
DA  - 1999/05/01
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.1999.6.2.3
DO  - 10.2991/jnmp.1999.6.2.3
ID  - Melkonian1999
ER  -