A cubic system with twelve small amplitude limit cycles

A cubic system with twelve small amplitude limit cycles
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DOI:
10.1016/j.bulsci.2004.05.004
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发表时间:
2005-02
影响因子:
1.3
通讯作者:
Yirong Liu;Wentao Huang
Yirong Liu;Wentao Huang
中科院分区:
数学4区
文献类型:
--
作者:
Yirong Liu;Wentao Huang

文献摘要

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本文研究了三次多项式系统极限环的分岔。通过奇点值的计算,我们证明了系统存在12个小幅极限环。证明过程是代数和符号的。
In this paper, the bifurcation of limit cycles for a cubic polynomial system is investigated. By the computation of the singular point values, we prove that the system has 12 small amplitude limit cycles. The process of the proof is algebraic and symbolic.