A. J. Maciejewski, M. Przybylska, “Non-Integrability of the Suslov Problem”, Regul. Chaotic Dyn., 2002, Volume 7, Issue 1,Pages <nobr>73

This article is cited in 12 papers

Nonholonomic Systems

Non-Integrability of the Suslov Problem

A. J. Maciejewski^a, M. Przybylska^b

^a Institute of Astronomy, University of Zielona Góra, Lubuska 2, 65-265 Zielona Góra, Poland
^b Toruń Centre for Astronomy, Nicholaus Copernicus University, Gagarina 11, 87–100 Toruń, Poland

Abstract: In this paper we study integrability of the classical Suslov problem. We prove that in a version of this problem introduced by V.V. Kozlov the problem is integrable only in one known case. We consider also a generalisation of Kozlov version and prove that the system is not integrable. Our proofs are based on the Morales–Ramis theory.

MSC: 70E18, 70E40

Received: 28.01.2002

Language: English

DOI: 10.1070/RD2002v007n01ABEH000197