Saddle Quantities and cyclicity of 2-Polycycle

Saddle Quantities and cyclicity of 2-Polycycle
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DOI:
10.1142/s0218127409023603
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发表时间:
2009-04
期刊:
Int. J. Bifurc. Chaos
影响因子:
--
通讯作者:
Liqin Zhao;Xuexing Wang
Liqin Zhao;Xuexing Wang
中科院分区:
其他
文献类型:
--
作者:
Liqin Zhao;Xuexing Wang

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研究了双曲性比均为1的2-多环通过两个双曲鞍点的极限环分支。周期性被表示为鞍量的显函数。我们的结果可以应用到的情况下,当两个连接被破坏的扰动。
We study the bifurcation of limit cycles in the neighborhood of a 2-polycycle through two hyperbolic saddles with both hyperbolicity ratios being 1. The cyclicity is expressed as an explicit function of saddle quantities. Our results can be applied to the case when both connections are broken under perturbations.