Journal of Nonlinear Mathematical Physics

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Volume 28, Issue 3, September 2021, Pages 303 - 308

A New Case of Separability in a Quartic Hénon-Heiles System

Authors
Nicola Sottocornola*
Department of Mathematics and Statistics, Zayed University, Abu Dhabi, UAE
Corresponding Author
Nicola Sottocornola
Received 17 November 2020, Accepted 9 April 2021, Available Online 25 April 2021.
DOI
10.2991/jnmp.k.210419.002How to use a DOI?
Keywords
Integrable systems; separation of coordinates; integration in quadratures
Abstract

There are four quartic integrable Hénon-Heiles systems. Only one of them has been separated in the generic form while the other three have been solved only for particular values of the constants. We consider two of them, related by a canonical transformation, and we give their separation coordinates in a new case.

Copyright
© 2021 The Author. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
28 - 3
Pages
303 - 308
Publication Date
2021/04/25
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.k.210419.002How to use a DOI?
Copyright
© 2021 The Author. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Nicola Sottocornola
PY  - 2021
DA  - 2021/04/25
TI  - A New Case of Separability in a Quartic Hénon-Heiles System
JO  - Journal of Nonlinear Mathematical Physics
SP  - 303
EP  - 308
VL  - 28
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.k.210419.002
DO  - 10.2991/jnmp.k.210419.002
ID  - Sottocornola2021
ER  -