吉林大学学报(理学版)2018,Vol.56Issue(3):491-494,4.DOI:10.13413/j.cnki.jdxblxb.2018.03.04
具Marta势能Hamilton系统 的Liouville不可积性
Liouville Non-integrability of Hamiltonian System with Marta Potential Energy
摘要
Abstract
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Key words
Morales-Ramis theory/Marta potential energy/Liouville integrability分类
数理科学引用本文复制引用
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):491-494,4.基金项目
吉林省教育厅科研基金(批准号:JJKH20170776KJ). (批准号:JJKH20170776KJ)