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arXiv 1107.2491cond-mat.stat-mechnlin.CD
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两个非全同混沌系统的反相同步

Antiphase synchronization of two nonidentical pendulums

Il Gu Yi, Hyun Keun Lee, Sung Hyun Jeon, Beom Jun Kim

摘要:

从动态相变的角度,数值研究了两个以公共可动标架为中心的不相同单摆运动的同步问题。当摆长差不太大时,系统稳定在相位差为$π$的反相同步动态状态。我们观察到,存在一个反相同步态或去反相同步态都可以稳定的反相区。我们还发现,随着长度差的变化,在动态相变附近存在滞后效应。

英文摘要:

We numerically study the synchronization of two nonidentical pendulum motions, pivoting on a common movable frame in the point of view of the dynamic phase transition. When the difference in the pendulum lengths is not too large, it is shown that the system settles down into the dynamic state of the antiphase synchronization with the phase difference $π$. We observe that there is a bistable region where either the antiphase synchronized state or the desynchronized state can be stabilized. We also find that there exists a hysteresis effect around the dynamic phase transition as the length difference is adiabatically changed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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