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简单电子电路中存在噪声时III型间歇性特征关系的实验观察

Experimental observation of characteristic relations of type-III intermittency in the presence of noise in a simple electronic circuit.

作者信息

Kye Won-Ho, Rim Sunghwan, Kim Chil-Min, Lee Jong-Han, Ryu Jung-Wan, Yeom Bok-Sil, Park Young-Jai

机构信息

National Creative Research Initiative Center for Controlling Optical Chaos, Pai-Chai University, Daejeon 302-735, Korea.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Sep;68(3 Pt 2):036203. doi: 10.1103/PhysRevE.68.036203. Epub 2003 Sep 3.

DOI:10.1103/PhysRevE.68.036203
PMID:14524864
Abstract

We investigate the characteristic relations of type-II and -III intermittencies in the presence of noise. The theoretically predicted characteristic relation is that approximately exp[/epsilon/(2)] for a negative regime of epsilon and approximately epsilon(-nu) for the positive regime of epsilon (1/2</=nu<1), where is the average laminar length and (1+epsilon) is the slope of the local Poincaré map around the tangent point. We experimentally confirm these relations in a simple electronic circuit.

摘要

我们研究了存在噪声时II型和III型间歇性的特征关系。理论预测的特征关系为:对于负的ε区域,近似为exp[ε/(2)];对于正的ε区域(1/2≤ν<1),近似为ε^(-ν),其中是平均层流长度,(1 + ε)是局部庞加莱映射在切点附近的斜率。我们在一个简单的电子电路中通过实验证实了这些关系。

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