Josephson结的动力学行为(Ⅰ)

本文对射频电流驱动下的包含干涉项电流的Josephson结方程进行了大量的数值研究工作。我们发现,对应于不同的参数范围,分别出现混沌行为、倍周期分岔序列、混沌带的反序列以及阵发混沌现象。我们也计算了2ⁿP序列的收敛因子δ_n和功率谱中2^k与2^k+1分频的平均峰高之比Φ(k)/Φ(k+1)。另外,还研究了周期解的对称性以及它与通向混沌途径的关系。 关键词：

DYNAMICAL BEHAVIOR OF RF-BIASED JOSEPHSON JUNCTIONS (Ⅰ)

A lot of numerical investigation of equations of rf-biased Josephson junctions is carried out, in which the interference term is included in current-phase relation. Chaotic behavior, sequence of period-doubling bifurcations, inverse sequence of chaotic band and intermittent chaos are found seperately in various parameter regions. The convergent factor δ n of 2ⁿ Psequence and the ratio Φ(k)/Φ(k+1) are calculated, where Φ(k) is the average height of the peaks corresponding to 2^kP in the power spectrum. We also study the symmetry possessed by period solutions and its relation to the nature of approach to chaos