吉林大学学报(理学版)Issue(2):269-272,4.DOI:10.13413/j.cnki.jdxblxb.2014.02.21
用中心流形理论研究微分系统的不可积性
Nonintegrability of Differential Systems Based on Central Manifolds Theory
摘要
Abstract
We investigated the nonintegrability of differential systems by center manifolds theory.For the particular system with zero eigenvalues, we obtained a new criteria with non-existence of nontrivial formal first integrals.An application was given at last to illustrate our statements.关键词
中心流形理论/首次积分/Kowalevskaya矩阵Key words
central manifold theory/first integral/Kowalevskaya matrix分类
数理科学引用本文复制引用
焦佳,周庆健,周冉..用中心流形理论研究微分系统的不可积性[J].吉林大学学报(理学版),2014,(2):269-272,4.基金项目
国家自然科学基金(批准号:11226157 ()
11001039)和中央高校自主科研基金(批准号:DC110325 ()
DC13010319) ()