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中国物理学会期刊

Josephson结的动力学行为(Ⅱ)

CSTR: 32037.14.aps.34.1149

DYNAMICAL BEHAVIOR OF RF-BIASED JOSEPHSON JUNCTIONS (Ⅱ)

CSTR: 32037.14.aps.34.1149
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  • 本文对射频电流驱动下的包含干涉项电流的Josephson结系统的阵发混沌行为进行了研究,得到的标度关系与理论预言的相符。此外,我们计算了一些参数下的里亚普诺夫指数以及由此引入定义的吸引子的维数dL,并且还用盒子计数法计算了几组参数下奇异吸引子的柯尔莫哥洛夫容量dc,其值与dL相近。

     

    Numerical investigations of a differential equation describing a rf-biased Josephson junction, in which the interference term current is included, are carried out in some parameter region. The existanee of the intermittant transition to chaos is obtained and the critical exponent of the scaling law is determined in agreement with theoretical predictions. Furthermore, the Lyapunov exponent is calculated for several parameters, then the fractal dimension of strange attraetor dL is obtained, its dependence on the Lyapunov exponent is defined by Kaplan and Yorke. In addition, the Kolmogorov capacity of strange attractor dc is also calculated by box-counting algorithm. Such calculated values of dL and dc are close to each other as expected.

     

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