Experimental synchronization of circuit oscillations induced by common telegraph noise

Experimental synchronization of circuit oscillations induced by common telegraph noise
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DOI:
10.1103/physreve.79.036205
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发表时间:
2009-03-01
期刊:
影响因子:
2.4
通讯作者:
Nakao, Hiroya
Nakao, Hiroya
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Nagai, Ken;Nakao, Hiroya

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利用电子振荡器电路实现了随机电报信号作用下极限环振荡的共噪声诱导同步,并进行了定量研究。基于我们以前的公式[K.永井,Phys.Rev.E71,036217(2005)],电路的动态被描述为两个极限环之间的随机相位映射。李雅普诺夫指数表征的同步程度估计从实验确定的相位图,并与线性阻尼率直接测量的相位差。理论预测的相位差的噪声开关不稳定性也在实验中得到了证实。
Experimental realization and quantitative investigation of common-noise-induced synchronization of limit-cycle oscillations subject to random telegraph signals are performed using an electronic oscillator circuit. Based on our previous formulation [K. Nagai , Phys. Rev. E 71, 036217 (2005)], dynamics of the circuit is described as random-phase mappings between two limit cycles. Lyapunov exponents characterizing the degree of synchronization are estimated from experimentally determined phase maps and compared with linear damping rates of phase differences measured directly. Noisy on-off intermittency of the phase difference as predicted by the theory is also confirmed experimentally.