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arXiv 1202.5937nlin.CD
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悬挂在受迫Duffing振子上的单摆动力学

The dynamics of the pendulum suspended on the forced Duffing oscillator

Piotr Brzeski, Przemyslaw Perlikowski, Serhiy Yanchuk, Tomasz Kapitaniak

摘要:

研究了悬挂在受迫Duffing振子上的单摆的动力学。详细的分岔分析在两个参数空间(振幅和频率的激励),提出了振荡和旋转的周期解的单摆已执行。我们确定了在参数空间中共存吸引子数量较少的区域,因为不同吸引子的共存对所提出的系统作为调谐质量吸收器的实际使用具有显着影响。

英文摘要:

We investigate the dynamics of the pendulum suspended on the forced Duffing oscillator. The detailed bifurcation analysis in two parameter space (amplitude and frequency of excitation) which presents both oscillating and rotating periodic solutions of the pendulum has been performed. We identify the areas with low number of coexisting attractors in the parameter space as the coexistence of different attractors has a significant impact on the practical usage of the proposed system as a tuned mass absorber.

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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