华东师范大学学报（自然科学版）Issue(3)：94-98,5.DOI:10.3969/j.issn.1000-5641.2017.03.010
自治Birkhoff系统的四类梯度表示
Four kinds of gradient representations of autonomous Birkhoffian systems
摘要
Abstract
In order to study the integration and the stability of autonomous Birkhoffian systems,we propose four kinds of gradient systems to represent the autonomous Birkhoffian systems.By analysing the relationship between the gradient systems and the Birkhoffian systems,we obtain the conditions that the Birkhoffian systems can be transformed into a kind of four gradient systems.Then,we use the properties of gradient system to investigate the problems of integration and stability of the Birkhoffian systems.Finally,we give some examples to illustrate the application of the theory.关键词
Birkhoff系统/梯度系统/积分/稳定性Key words
Birkhoffian systems/gradient system/integration/stability分类
数理科学引用本文复制引用
崔金超,廖翠萃,梅凤翔..自治Birkhoff系统的四类梯度表示[J].华东师范大学学报（自然科学版）,2017,(3):94-98,5.基金项目
国家自然科学基金(11272050,11401259) （11272050,11401259）
江南大学自主科研资助项目(JUSRP11530) （JUSRP11530）
