| 具Marta势能Hamilton系统的Liouville不可积性 |
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| 引用本文： | 冷诗扬,杨双羚.具Marta势能Hamilton系统的Liouville不可积性[J].吉林大学学报(理学版),2018,56(3):491-494. |
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| 作者姓名： | 冷诗扬 杨双羚 |
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| 作者单位： | 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 |
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| 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.
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| 关 键 词： | Liouville可积性 Morales Ramis理论 Marta势能 |
| 收稿时间： | 2017-11-17 |
Liouville Non integrability of Hamiltonian System with Marta Potential Energy |
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| LENG Shiyang,YANG Shuangling.Liouville Non integrability of Hamiltonian System with Marta Potential Energy[J].Journal of Jilin University: Sci Ed,2018,56(3):491-494. |
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| Authors: | LENG Shiyang YANG Shuangling |
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| Institution: | 1. College of Mathematics, Jilin University, Changchun 130012, China;2. Department of Foundation, The City College of Jilin Jianzhu University, Changchun 130114, China |
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| Abstract: | Based on the Morales Ramis theory, we considered the non integrability of the Hamiltonian system with Marta potential energy by using thetheoretical 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. |
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| Keywords: | Morales Ramis theory Marta potential energy Liouville integrability |
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