Title

Separation coordinates in Hénon-Heiles systems

Author First name, Last name, Institution

Nicola Sottocornola, Zayed University

ORCID Identifiers

0000-0002-1372-4759

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.

ISSN

0375-9601

Publisher

Elsevier B.V.

Volume

383

Issue

36

First Page

126027

Disciplines

Life Sciences

Keywords

Hénon-Heiles systems, Integrable systems, Separation of coordinates

Scopus ID

85072996848

Indexed in Scopus

yes

Open Access

no

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