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Regular and Chaotic Dynamics, 1996, Volume 1, Issue 2, Pages 3–12 (Mi rcd13)  
This article is cited in 1 scientific paper (total in 1 paper)

Non-integrability of the Generalized Halphen System

A. J. Maciejewskia, J. Strelcynb

a Institute of Astronomy, N. Copernicus University Chopina 12-18, 87-100, Toruń, Poland
b Département de Mathématiques, Université de Rouen, URA CNRS 1378, 76821 Mont Saint Aignan Cedex, France
Citations (1)
Abstract: A generalized of the well known Halphen system is considered. It is proved that this generalized system in odd dimension does not admit a non-constant rational first integral.
Received: 17.05.1996
Document Type: Article
Language: English
Citation: A. J. Maciejewski, J. Strelcyn, “Non-integrability of the Generalized Halphen System”, Regul. Chaotic Dyn., 1:2 (1996), 3–12
Citation in format AMSBIB
\Bibitem{MacStr96}
\by A.~J.~Maciejewski, J.~Strelcyn
\paper Non-integrability of the Generalized Halphen System
\jour Regul. Chaotic Dyn.
\yr 1996
\vol 1
\issue 2
\pages 3--12
\mathnet{http://mi.mathnet.ru/rcd13}
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  • https://www.mathnet.ru/eng/rcd13
  • https://www.mathnet.ru/eng/rcd/v1/i2/p3
    • This publication is cited in the following 1 articles:
    1. Llibre J. Tian Yu., “A Survey on the Kovalevskaya Exponents and Their Applications”, J. Math. Anal. Appl., 504:2 (2021), 125576  crossref  mathscinet  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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