Limit Cycles for a Class of Zp-Equivariant Differential Systems

Limit Cycles for a Class of Zp-Equivariant Differential Systems
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DOI:
10.1142/s0218127420501151
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发表时间:
2020-06
期刊:
Int. J. Bifurc. Chaos
影响因子:
--
通讯作者:
Jing Gao;Yulin Zhao
Jing Gao;Yulin Zhao
中科院分区:
其他
文献类型:
--
作者:
Jing Gao;Yulin Zhao

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In this paper, we study a class of [Formula: see text]-equivariant planar polynomial differential systems [Formula: see text]. It is shown that for any [Formula: see text] there is a differential system of the above type having at least [Formula: see text] limit cycles. This is proved by estimating the number of zeros of the first-order Melnikov function.