A STUDY OF THE LIMIT CYCLES ASSOCIATED WITH A GENERALIZED CODIMENSION-3 LIENARD OSCILLATOR
A STUDY OF THE LIMIT CYCLES ASSOCIATED WITH A GENERALIZED CODIMENSION-3 LIENARD OSCILLATOR
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DOI：
10.1006/jsvi.1999.2673
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发表时间：
2000-03
影响因子：
4.7
通讯作者：
Wei Zhang;P. Yu
中科院分区：
文献类型：
--
作者：
Wei Zhang;P. Yu
在本文中，Melnikov 和 Petrov 方法用于研究与代表性广义余维 3 Lienard 振子的简并分岔相关的极限环。结果表明，多个极限环共存是可能的，并且极限环之间存在跳跃现象。此外，还发现稳定极限环（振荡）和不稳定极限环（振荡）可以交替出现。
In this paper Melnikov and Petrov methods are used to study the limit cycles associated with the degenerate bifurcations of a representative, generalized codimension-3 Lienard oscillator. It is shown that the coexistence of multiple limit cycles is possible and that jumping phenomena exist between limit cycles. Moreover, it is found that the stable limit cycles (oscillations) and the unstable limit cycles (oscillations) can occur alternatively.