A Simple Proof for the Unicity of the Limit Cycle in the Bogdanov-Takens System
A Simple Proof for the Unicity of the Limit Cycle in the Bogdanov-Takens System
复制标题
波格丹诺夫-塔肯斯系统极限环唯一性的简单证明
DOI：
10.4153/cmb-1990-015-3
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发表时间：
1990
期刊：
影响因子：
--
通讯作者：
Xian Wang
中科院分区：
文献类型：
--
作者：
Chengzhi Li;C. Rousseau;Xian Wang
Abstract We show that the Bogdanov-Takens system has at most one limit cycle. Similarly we show that the maximum number of limit cycles in the universal unfolding of the symmetric cusp of order 2 (resp. 3) is one (resp. 2). The proof uses the elementary technique of Liénard's equation, yielding a global result for all values of the parameters.
