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首页> 外文期刊>IEEE Transactions on Automatic Control >Effects of the deviation of element values in a ring of three and four coupled van der Pol oscillators
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Effects of the deviation of element values in a ring of three and four coupled van der Pol oscillators

机译：三振荡器和四振荡器环中元素值偏差的影响

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摘要

This paper investigates the effect of element value deviation on the degenerate mode in rings of three and four coupled van der Pol oscillators. By using the averaging method, we elucidate that the element value deviation has different effects onthe rings of three and four coupled oscillators. Namely, for the ring of three coupled oscillators, two single modes which bifurcate from the twofold degenerate mode in the symmetric system can be synchronized when they are close, but they losesynchronization and a quasiperiodic oscillation appears when they are separated to some extent. In contrast, for the ring of four coupled oscillators, the two single modes cannot be synchronized, even if they are close. However, in some rare cases theycan be synchronized when they are separated to some extent. We confirm these results of the averaging method by both computer simulation and experiments.
机译：本文研究了单元值偏差对三耦合和四耦合范德波尔振荡器环中简并模态的影响.通过使用平均方法，我们阐明了单元值偏差对三耦合振荡器和四耦合振荡器环的不同影响。也就是说，对于三个耦合振荡器的环，对称系统中从二重简并模式分叉的两个单模在靠近时可以同步，但当它们在一定程度上分离时，它们会失去同步并出现准周期振荡。相反，对于四个耦合振荡器的环，即使两个单一模式很接近，也无法同步。但是，在极少数情况下，当它们在某种程度上分离时，它们可以同步。我们通过计算机模拟和实验证实了平均方法的这些结果。

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