通过修改一个Bargmann系统与一个Neumann系统的Lax对生成新的有限维Hamilton系统,并证明了新Lax矩阵仍保持r矩阵关系,由此得到了两个新的Liouville意义下的完全可积系统.
In this paper,a pair of new finite dimensional integrable Hamiltonian systems are obtained,which are Rosochatius deformations of a Bargmann system and a Neumann system. The corresponding Lax representations and r matrices are given.