EXPERIMENTAL OBSERVATION OF INTERMITTENCY IN COUPLED CHAOTIC PENDULUMS

EXPERIMENTAL OBSERVATION OF INTERMITTENCY IN COUPLED CHAOTIC PENDULUMS
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耦合混沌摆间歇性的实验观察

DOI:
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发表时间:
1999
期刊:
影响因子:
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通讯作者:
G. L. Baker
G. L. Baker
中科院分区:
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文献类型:
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作者:
H. J. Smith;J. Blackburn;G. L. Baker

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我们通过实验实现了一对相互耦合的阻尼驱动摆的开关间歇性。摆锤通过与角速度差成正比的扭矩进行双向相互作用。实验数据表明,同步混沌运动的间隔分布与开关间歇理论一致:短层流时间的条件概率遵循幂律,而长层流时间的条件概率遵循预期指数规律。实验数据还表明,间歇特性随耦合强度的变化而变化,并且从结果推断出的平均层流时间取决于阈值水平的选择。
We have experimentally realized on–off intermittency in a pair of mutually coupled damped driven pendula. The pendula interacted bidirectionally via a torque which was proportional to the difference in their angular velocities. Experimental data show that the intervals of synchronized chaotic motion are distributed in agreement with the theory for on–off intermittency: The conditional probability of short laminar times is found to follow a power law whilst the conditional probability of long laminar times follows the expected exponential law. The experimental data also reveal that the intermittent properties vary with the coupling strength, and that the average laminar time inferred from the results depends on the choice of threshold level.