Discretization of the Lagrange Top

Kinji Kimura; Ryogo Hirota

doi:10.1143/jpsj.69.3193

Journal of the Physical Society of Japan

Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015

Discretization of the Lagrange Top

Kinji Kimura, Ryogo Hirota

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Keywords: Lagrange top, discretization, integrable system

JOURNAL RESTRICTED ACCESS

2000 Volume 69 Issue 10 Pages 3193-3199

DOI https://doi.org/10.1143/jpsj.69.3193

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Abstract

The Euler-Poisson equations describing the motion of the Lagrange top are discretized by using the bilinear transformation method. The discrete equations are explicit and exhibit a sufficient number of conserved quantities for integrability.

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