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On a 'Mysterious' Case of a Quadratic Hamiltonian

We show that one of the five cases of a quadratic Hamiltonian, which were recently selected by Sokolov and Wolf who used the Kovalevskaya-Lyapunov test, fails to pass the Painlevé test for integrability.

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Bibliographic Details
Main Author: Sakovich, S.
Format: Article
Language:English
Published: Інститут математики НАН України 2006
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/146103
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spelling irk-123456789-1461032019-02-08T01:23:03Z On a 'Mysterious' Case of a Quadratic Hamiltonian Sakovich, S. We show that one of the five cases of a quadratic Hamiltonian, which were recently selected by Sokolov and Wolf who used the Kovalevskaya-Lyapunov test, fails to pass the Painlevé test for integrability. 2006 Article On a 'Mysterious' Case of a Quadratic Hamiltonian / S. Sakovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 10 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 70H07; 37J30; 34M35 http://dspace.nbuv.gov.ua/handle/123456789/146103 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description We show that one of the five cases of a quadratic Hamiltonian, which were recently selected by Sokolov and Wolf who used the Kovalevskaya-Lyapunov test, fails to pass the Painlevé test for integrability.
format Article
author Sakovich, S.
spellingShingle Sakovich, S.
On a 'Mysterious' Case of a Quadratic Hamiltonian
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Sakovich, S.
author_sort Sakovich, S.
title On a 'Mysterious' Case of a Quadratic Hamiltonian
title_short On a 'Mysterious' Case of a Quadratic Hamiltonian
title_full On a 'Mysterious' Case of a Quadratic Hamiltonian
title_fullStr On a 'Mysterious' Case of a Quadratic Hamiltonian
title_full_unstemmed On a 'Mysterious' Case of a Quadratic Hamiltonian
title_sort on a 'mysterious' case of a quadratic hamiltonian
publisher Інститут математики НАН України
publishDate 2006
url http://dspace.nbuv.gov.ua/handle/123456789/146103
citation_txt On a 'Mysterious' Case of a Quadratic Hamiltonian / S. Sakovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 10 назв. — англ.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT sakovichs onamysteriouscaseofaquadratichamiltonian
first_indexed 2023-05-20T17:23:50Z
last_indexed 2023-05-20T17:23:50Z
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