Document Type
Article
Source of Publication
Journal of Nonlinear Mathematical Physics
Publication Date
7-3-2017
Abstract
© 2017 the authors. There are seven time independent, integrable, Hénon-Heiles systems: three with cubic and four with quartic potential. The cubic and one of the quartic cases have been separated in the last decades. The other three cases 1:6:1, 1:6:8 and 1:12:16 have resisted several attempts in the last years. In this paper we focus our attention on the 1:12:16 case whose equations of motion have been separated only in the degenerate case ab = 0. We give here the separation coordinates for the generic case using a method introduced by Franco Magri in 2005 under the name of Kowalevski’s Conditions.
DOI Link
ISSN
Publisher
Taylor and Francis Ltd.
Volume
24
Issue
3
First Page
346
Last Page
355
Disciplines
Mathematics
Keywords
Hénon-Heiles systems, Integrable systems, separation of coordinates
Scopus ID
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License
Recommended Citation
Sottocornola, Nicola, "Explicit integration of a generic Hénon-Heiles system with quartic potential" (2017). All Works. 1589.
https://zuscholars.zu.ac.ae/works/1589
Indexed in Scopus
yes
Open Access
yes
Open Access Type
Gold: This publication is openly available in an open access journal/series
