Synchronization mechanism and Arnold tongues for dust density waves.

Synchronization mechanism and Arnold tongues for dust density waves.
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用于灰尘密度波的同步机构和阿诺德舌。

DOI:
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发表时间:
2012
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
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通讯作者:
J. Goree
J. Goree
中科院分区:
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文献类型:
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作者:
W. D. S. Ruhunusiri;J. Goree

文献摘要

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尘埃密度波的非线性同步现象的特点是实验,即,尘埃声波,由于离子流不稳定性而自激发。波在尘埃云中传播,固有频率为22 Hz。我们用一个驱动电极使这些波同步到一个不同的频率,这个驱动电极以正弦方式调制离子密度。我们研究了四个同步状态,频率是驱动频率的1,2,3和1/2的倍数。比较的现象是典型的货车德尔波尔范例,我们发现,我们的波的同步表现出的签名的抑制机制,但不是锁相机制。此外,我们的波的同步表现出不同于货车德尔波尔范式的三个特征:可以在阿诺德舌图中看到的阈值幅度,在其下端的1:1谐波舌的分支,以及非谐波状态。后一种状态似乎是一种非线性振荡;它既不是自然频率,也不是同步状态。
The nonlinear phenomenon of synchronization is characterized experimentally for dust density waves, i.e., dust acoustic waves, which are self-excited due to an ion streaming instability. The waves propagate in a dust cloud with a natural frequency of 22 Hz. We synchronize these waves to a different frequency using a driving electrode that sinusoidally modulates the ion density. We study four synchronized states, with frequencies that are multiples of 1, 2, 3, and 1/2 of the driving frequency. Comparing to phenomena that are typical of the van der Pol paradigm, we find that synchronization of our waves exhibit the signature of the suppression mechanism but not that of the phaselocking mechanism. Additionally, synchronization of our waves exhibits three characteristics that differ from the van der Pol paradigm: a threshold amplitude that can be seen in the Arnold tongue diagram, a branching of the 1:1 harmonic tongue at its lower extremity, and a nonharmonic state. The latter state appears to be a nonlinear oscillation; it is neither at the natural frequency nor a synchronized state.