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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)

作     者:韩茂安 罗定军 朱德明 Han Maoan (Shandong Mine Institute)Luo Dingjun (Nanjing University)Zhu Deming (East China Normal University)

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.

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