%0 Journal Article %T Neumann system and hyperelliptic al functions %A Shigeki Matsutani %J Surveys in Mathematics and its Applications %D 2008 %I University Constantin Brancusi of Targu-Jiu %X 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. %K Neumann system %K Weierstrass hyperelliptic al functions %U http://www.utgjiu.ro/math/sma/v03/p02.pdf