The Uniqueness of Limit Cycleis Bifurcating from a Singular Closed Orbit (I), (Ⅱ ), (Ⅲ)
The Uniqueness of Limit Cycleis Bifurcating from a Singular Closed Orbit (I), (Ⅱ ), (Ⅲ)出 版 物:《数学进展》 (Advances In Mathematics)
年 卷 期:1990年第3期
页 面:378-380页
核心收录:
学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题:一占 The Uniqueness of Limit Cycleis Bifurcating from a Singular Closed Orbit
摘 要:In the three papers we consider the C~3 systemwhere a∈R,δ∈R~n,n≥1.A series of uniqueness theorems of limit cycles bifurca-ting from a singular closed orbit are obtained by estimating the integral of dissipa-tive values along periodic orbit and combining with the relative positions of theseparatrices of saddles.