Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843 - 7265 (print)
Volume 3 (2008), 13 -- 25


Shigeki Matsutani

Abstract. This article shows that the Neumann dynamical system is described well in terms of the Weierstrass hyperelliptic al functions. The descriptions are very primitive; their proofs are provided only by residual computations but don't require any theta functions.

2000 Mathematics Subject Classification: Primary 37K20, 14H81; Secondary 14K20, 14H70.
Keywords: Neumann system; Weierstrass hyperelliptic al functions.

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