A. J. Maciejewski, J. Strelcyn, “Non-integrability of the Generalized Halphen System”, Regul. Chaotic Dyn., 1996, Volume 1, Issue 2,Pages <nobr>3

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Non-integrability of the Generalized Halphen System

A. J. Maciejewski^a, J. Strelcyn^b

^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

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

Language: English