Separation coordinates in Hénon-Heiles systems
ORCID Identifiers
Document Type
Article
Source of Publication
Physics Letters, Section A: General, Atomic and Solid State Physics
Publication Date
12-27-2019
Abstract
© 2019 Elsevier B.V. In this paper we apply the method of the Kowalewski's Conditions to separate the seven Hénon-Heiles integrable systems. For each of them we provide explicitly the separation coordinates in the form of eigenvalues of a matrix M called Control Matrix. A couple of systems (HH3 KK and HH4 1:12:16) are presented and discussed in a more general form than usually in the literature. We show that the process of separation of coordinates can be reduced, at the end, to the choice of a single function and, eventually, a vector field transversal to the Lagrangian foliation in an extended phase space.
DOI Link
ISSN
Publisher
Elsevier B.V.
Volume
383
Issue
36
First Page
126027
Disciplines
Physical Sciences and Mathematics
Keywords
Hénon-Heiles systems, Integrable systems, Separation of coordinates
Scopus ID
Recommended Citation
Sottocornola, Nicola, "Separation coordinates in Hénon-Heiles systems" (2019). All Works. 3072.
https://zuscholars.zu.ac.ae/works/3072
Indexed in Scopus
yes
Open Access
no