A New Integrable Symplectic Map of Neumann Type

作     者：ZHU Jun-Yi GENG Xian-Guo 

作者机构：Department of Mathematics Zhengzhou University Zhengzhou 450052 China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2007年第47卷第4期

页      面：577-581页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：The project supported by National Natural Science Foundation of China under Grant No. 10471132 and the Special Foundation for the State Key Basic Research Program "Nonlinear Science" 

主　　题：Neumann constraint symplectic map Liouville integrablility 

摘      要：By resorting to the nonlinearization approach, a Neumann constraint associated with a discrete 3 × 3 matrix eigenvalue problem is considered. A new symplectic map of the Neumann type is obtained through nonlinearization of the discrete eigenvalue problem and its adjoint one. The generating function of integrals of motion is presented, by which the symplectic reap＇is further proved to be completely integrable in the Liouville sense.