具Marta势能Hamilton系统的Liouville不可积性  

Liouville Non-integrability of Hamiltonian System with Marta Potential Energy

作　　者：冷诗扬 杨双羚 LENG Shiyang;YANG Shuangling(College of Mathematics, Jilin University, Changchun 130012, China;Department of Foundation, The City College of Jilin Jianzhu University, Changchun 130114, China)

机构地区：[1]吉林大学数学学院,长春130012 [2]吉林建筑大学城建学院基础科学部,长春130114

出　　处：《吉林大学学报（理学版）》2018年第3期491-494,共4页Journal of Jilin University:Science Edition

基　　金：吉林省教育厅科研基金(批准号:JJKH20170776KJ)

摘　　要：基于Morales-Ramis理论,用理论分析的方法考虑具有Marta势能的Hamilton系统的不可积性问题,证明了该Hamilton系统在Liouville意义下是亚纯不可积的.利用该结果可从不可积性的角度了解该系统的动力学行为及拓扑结构.Based on the Morales-Ramis theory,we considered the non-integrability of the Hamiltonian system with Marta potential energy by using the theoretical analysis method,and proved that this Hamiltonian system was not meromorphic integrable in sense of Liouville.The results can be used to understand the dynamic behavior and topological structure of the system from the perspective of non-integrability.

关 键 词：Morales-Ramis理论 Marta势能 LIOUVILLE可积性 

分 类 号：O175.12[理学—数学]