陕西师范大学学报（自然科学版）2011，Vol.39Issue(3)：10-14,19,6.
一类非对称Lienard方程的全局结构和分支
Global structures and bifurcations of a class of non-symmetric Lienard equations
摘要
Abstract
Idempotent elements in an Ro algebra and it's applications are studied. The concepts ofidempotent element, left map and idempotent map are introduced in an Ro algebra. Thecharacterizations of idempotent elements are discussed and it s proved that the set of allidempotent elements in an J?o algebra is the biggest Boole algebra among all sub-algebras.Moreover, the left maps constructed by idempotent elements are idempotent maps. Using theseresults, a decomposition theorem of an Ro algebra is proved, which says that an Ro algebra can bedecomposed as the direct production of the image and kernel of the idempotent map induced byidempotent elements.关键词
Lienard方程/分支/分支图/极限环Key words
R0algebra/ idempotent element? Left map/ idempotent map/ direct production/ kernel of a map分类
数理科学引用本文复制引用
范丽,史忠科,陈斯养..一类非对称Lienard方程的全局结构和分支[J].陕西师范大学学报（自然科学版）,2011,39(3):10-14,19,6.基金项目
国家自然科学基金资助项目(10871122,11026133) （10871122,11026133）
中央高校基本科研业务费专项资金项目(GK201002046). （GK201002046）
